docs/Named-graphs-gallery.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Named graphs gallery\n",
    "### in Raku\n",
    "\n",
    "Anton Antonov  \n",
    "[RakuForPrediction at WordPress](https://rakuforprediction.wordpress.com)   \n",
    "[RakuForPrediction-book at GitHub](https://github.com/antononcube/RakuForPrediction-book)      \n",
    "June 2024  "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "-----\n",
    "\n",
    "## Introduction"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This notebook has a gallery of graphs that can be created with the Raku package [\"Graph\"](https://raku.land/zef:antononcube/Graph) and \n",
    "displayed with the Raku package [\"JavaScript::D3\"](https://raku.land/zef:antononcube/JavaScript:D3)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "------\n",
    "\n",
    "## Setup"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here are loaded the packages used in the rest of notebook:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "use Graph;\n",
    "use Graph::Circulant;\n",
    "use Graph::Complete;\n",
    "use Graph::CompleteKaryTree;\n",
    "use Graph::Cycle;\n",
    "use Graph::Grid;\n",
    "use Graph::Indexed;\n",
    "use Graph::HexagonalGrid;\n",
    "use Graph::Hypercube;\n",
    "use Graph::KnightTour;\n",
    "use Graph::Path;\n",
    "use Graph::Petersen;\n",
    "use Graph::Star;\n",
    "use Graph::TriangularGrid;\n",
    "use Graph::Wheel;\n",
    "\n",
    "use Graph::Distribution;\n",
    "use Graph::Random;\n",
    "\n",
    "use Data::Reshapers;\n",
    "use Data::Summarizers;\n",
    "\n",
    "use JavaScript::D3;\n",
    "use WWW::MermaidInk;"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### JavaScript"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here we prepare the notebook to visualize with JavaScript:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": "require.config({\n     paths: {\n     d3: 'https://d3js.org/d3.v7.min'\n}});\n\nrequire(['d3'], function(d3) {\n     console.log(d3);\n});"
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#% javascript\n",
    "require.config({\n",
    "     paths: {\n",
    "     d3: 'https://d3js.org/d3.v7.min'\n",
    "}});\n",
    "\n",
    "require(['d3'], function(d3) {\n",
    "     console.log(d3);\n",
    "});"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Verification:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": "(function(element) { require(['d3'], function(d3) {\n\n// set the dimensions and margins of the graph\nvar margin = {\"top\":40,\"left\":40,\"bottom\":40,\"right\":40},\n    width = 600 - margin.left - margin.right,\n    height = 400 - margin.top - margin.bottom;\n\n// append the svg object to the body of the page\nvar svg = d3\n   .select(element.get(0))\n  .append(\"svg\")\n    .attr(\"width\", width + margin.left + margin.right)\n    .attr(\"height\", height + margin.top + margin.bottom)\n    .style(\"background\", \"none\")\n  .append(\"g\")\n    .attr(\"transform\",\n          \"translate(\" + margin.left + \",\" + margin.top + \")\")\n\n// Obtain title\nvar title = \"\"\nvar titleFontSize = 16\n\nif ( title.length > 0 ) {\n    svg.append(\"text\")\n        .attr(\"x\", (width / 2))\n        .attr(\"y\", 0 - (margin.top / 2))\n        .attr(\"text-anchor\", \"middle\")\n        .style(\"font-size\", titleFontSize.toString() + \"px\")\n        .style(\"fill\", \"Black\")\n        .text(title);\n}\n\n// Obtain x-axis label\nvar xAxisLabel = \"\"\nvar xAxisLabelFontSize = 12\n\nif ( xAxisLabel.length > 0 ) {\n    svg.append(\"text\")\n        .attr(\"x\", (width / 2))\n        .attr(\"y\", height + margin.bottom - xAxisLabelFontSize/2)\n        .attr(\"text-anchor\", \"middle\")\n        .style(\"font-size\", xAxisLabelFontSize.toString() + \"px\")\n        .style(\"fill\", \"Black\")\n        .text(xAxisLabel);\n}\n\n// Obtain y-axis label\nvar yAxisLabel = \"\"\nvar yAxisLabelFontSize = 12\n\nif ( yAxisLabel.length > 0 ) {\n    svg.append(\"text\")\n        .attr(\"transform\", \"rotate(-90)\")\n        .attr(\"x\", - (height / 2))\n        .attr(\"y\", 0 - margin.left + yAxisLabelFontSize)\n        .attr(\"text-anchor\", \"middle\")\n        .style(\"font-size\", yAxisLabelFontSize.toString() + \"px\")\n        .style(\"fill\", \"Black\")\n        .text(yAxisLabel);\n}\n\n\n// Obtain data\nvar data = [{\"y\":9.962674258196756e0,\"x\":1},{\"y\":6.25564113228744e0,\"x\":2},{\"x\":3,\"y\":7.495551282316992e0},{\"x\":4,\"y\":9.182538985025541e0},{\"x\":5,\"y\":6.682086259167558e0},{\"x\":6,\"y\":9.356812138643066e0},{\"x\":7,\"y\":5.451888194538989e0},{\"y\":1.1390504999382178e0,\"x\":8},{\"x\":9,\"y\":0.9213127013865186e0},{\"y\":8.037543058872751e0,\"x\":10},{\"x\":11,\"y\":0.7701661933480053e0},{\"y\":6.439607235839015e0,\"x\":12},{\"y\":2.873026101786569e0,\"x\":13},{\"y\":4.38058808322837e0,\"x\":14},{\"x\":15,\"y\":4.498992199876658e0},{\"x\":16,\"y\":3.289579686073756e0},{\"y\":8.133737609816267e0,\"x\":17},{\"y\":0.018429977477516513e0,\"x\":18},{\"x\":19,\"y\":1.9632807694275822e0},{\"x\":20,\"y\":7.417403539960469e0},{\"y\":6.330905423394352e0,\"x\":21},{\"y\":7.5889337522820535e0,\"x\":22},{\"y\":4.67771199887758e0,\"x\":23},{\"x\":24,\"y\":9.040665736870913e0},{\"x\":25,\"y\":4.777868798617723e0},{\"x\":26,\"y\":3.227691739680992e0},{\"x\":27,\"y\":4.6059019661533975e0},{\"y\":6.46106243800442e0,\"x\":28},{\"y\":0.3345914271534822e0,\"x\":29},{\"y\":8.550747748825993e0,\"x\":30},{\"x\":31,\"y\":8.405663819748174e0},{\"x\":32,\"y\":6.4608217755890385e0},{\"x\":33,\"y\":2.8282856148650346e0},{\"x\":34,\"y\":1.7888038453699362e0},{\"y\":2.4193556917891037e0,\"x\":35},{\"y\":8.01203997324582e0,\"x\":36},{\"x\":37,\"y\":2.4101799274060607e0},{\"y\":8.765520356619788e0,\"x\":38},{\"y\":4.017876463521359e0,\"x\":39},{\"y\":3.374345896409668e0,\"x\":40}]\n\nvar xMin = Math.min.apply(Math, data.map(function(o) { return o.x; }))\nvar xMax = Math.max.apply(Math, data.map(function(o) { return o.x; }))\n\nvar yMin = Math.min.apply(Math, data.map(function(o) { return o.y; }))\nvar yMax = Math.max.apply(Math, data.map(function(o) { return o.y; }))\n\n// X scale and Axis\nvar x = d3.scaleLinear()\n    .domain([xMin, xMax])\n    .range([0, width]);\n\n// Y scale and Axis\nvar y = d3.scaleLinear()\n    .domain([yMin, yMax])\n    .range([height, 0]);\n\nsvg\n  .append('g')\n  .attr(\"transform\", \"translate(0,\" + height + \")\")\n  .call(d3.axisBottom(x))\n\nsvg\n  .append('g')\n  .call(d3.axisLeft(y));\n\n// prepare a helper function\nvar lineFunc = d3.line()\n  .x(function(d) { return x(d.x) })\n  .y(function(d) { return y(d.y) })\n\n// Add the path using this helper function\nsvg.append('path')\n  .attr('d', lineFunc(data))\n  .attr(\"stroke-width\", 2)\n  .attr('stroke', \"steelblue\")\n  .attr('fill', 'none');\n\n}) })(element);\n"
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#% js\n",
    "js-d3-list-line-plot(10.rand xx 40, background => 'none', stroke-width => 2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here we set a collection of visualization variables:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{charge => {iterations => 4, strength => -30}, collision => {iterations => 4, radius => 50}, link => {distance => 30}}"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "my $title-color = 'Ivory';\n",
    "my $stroke-color = 'SlateGray';\n",
    "my $tooltip-color = 'LightBlue';\n",
    "my $tooltip-background-color = 'none';\n",
    "my $background = '#1F1F1F';\n",
    "my $color-scheme = 'schemeTableau10';\n",
    "my $edge-thickness = 3;\n",
    "my $vertex-size = 6;\n",
    "my $engine = 'neato';\n",
    "my $mmd-theme = q:to/END/;\n",
    "%%{\n",
    "  init: {\n",
    "    'theme': 'forest',\n",
    "    'themeVariables': {\n",
    "      'lineColor': 'Ivory'\n",
    "    }\n",
    "  }\n",
    "}%%\n",
    "END\n",
    "my %force = collision => {iterations => 0, radius => 10},link => {distance => 180};\n",
    "my %force2 = charge => {strength => -30, iterations => 4}, collision => {radius => 50, iterations => 4}, link => {distance => 30};"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Dot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "&neato"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sub dot(Graph:D $g, *%opts) { $g.dot(:svg, |%opts) }\n",
    "sub fdp(Graph:D $g, *%opts) { $g.dot(engine => 'fdp', :svg, |%opts) }\n",
    "sub sfdp(Graph:D $g, *%opts) { $g.dot(engine => 'sfdp', :svg, |%opts) }\n",
    "sub neato(Graph:D $g, *%opts) { $g.dot(engine => 'neato', :svg, |%opts) }"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### LLM graph assistant"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Chat object created with ID : ge."
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#% chat ge prompt, model=gpt-3.5-turbo\n",
    "You are very knowledgeable expert on Graph theory,\n",
    "You know the Graph theory Wikipedia pages better than anyone.\n",
    "Your answers to Graph theory related questions are concise and clear.\n",
    "You provide clear examples if relevant to your answers.\n",
    "If specifically requested you can provide code for making or displaying Graphs.\n",
    "Unless specifically specified otherwise, you use Wolfram Language (aka Mathematica) for your code examples.\n",
    "Unless specifically requested, you do not include code in your answers."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "------\n",
    "\n",
    "## All graphs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Spatial => Graph(vertexes => 15, edges => 53, directed => False)\n",
      "Wheel => Graph(vertexes => 8, edges => 14, directed => True)\n",
      "Price's model => Graph(vertexes => 14, edges => 19, directed => True)\n",
      "Petersen => Graph(vertexes => 10, edges => 15, directed => False)\n",
      "Random => Graph(vertexes => 10, edges => 11, directed => False)\n",
      "Cycle => Graph(vertexes => 8, edges => 8, directed => False)\n",
      "Complete => Graph(vertexes => 5, edges => 10, directed => False)\n",
      "Barabasi-Albert => Graph(vertexes => 20, edges => 36, directed => False)\n",
      "Hypercube => Graph(vertexes => 4, edges => 4, directed => False)\n",
      "Grid => Graph(vertexes => 12, edges => 17, directed => False)\n",
      "Path => Graph(vertexes => 7, edges => 6, directed => True)\n",
      "Star => Graph(vertexes => 6, edges => 5, directed => False)\n",
      "Circulant => Graph(vertexes => 5, edges => 5, directed => False)\n",
      "Watts-Strogatz => Graph(vertexes => 20, edges => 44, directed => False)\n",
      "KnightTour => Graph(vertexes => 24, edges => 44, directed => False)\n",
      "CompleteKaryTree => Graph(vertexes => 13, edges => 12, directed => False)\n"
     ]
    }
   ],
   "source": [
    "my %namedGraphs = \n",
    "    Barabasi-Albert => Graph::Random.new(Graph::Distribution::BarabasiAlbert.new(20,2)),\n",
    "    Circulant => Graph::Circulant.new(5,2),\n",
    "    Complete => Graph::Complete.new(5),\n",
    "    CompleteKaryTree => Graph::CompleteKaryTree.new(3,3),\n",
    "    Cycle => Graph::Cycle.new(8),\n",
    "    Grid => Graph::Grid.new(4,3),\n",
    "    Hypercube => Graph::Hypercube.new(2),\n",
    "    KnightTour => Graph::KnightTour.new(6,4),\n",
    "    Path => Graph::Path.new('a'..'g', :directed),\n",
    "    \"Price's model\" => Graph::Random.new(Graph::Distribution::Price.new(14, 2, 1)),\n",
    "    Petersen => Graph::Petersen.new(),\n",
    "    Random => Graph::Random.new(10,11),\n",
    "    Star => Graph::Star.new(5),\n",
    "    Spatial => Graph::Random.new(Graph::Distribution::Spatial.new(15, 0.5)),\n",
    "    Watts-Strogatz => Graph::Random.new(Graph::Distribution::WattsStrogatz.new(20,0.07)),\n",
    "    Wheel => Graph::Wheel.new(7, :directed);\n",
    "\n",
    ".say for %namedGraphs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": "(function(element) { require(['d3'], function(d3) {\n\n// set the dimensions and margins of the graph\nvar margin = {\"bottom\":40,\"left\":40,\"right\":40,\"top\":40},\n    width = 400 - margin.left - margin.right,\n    height = 247 - margin.top - margin.bottom;\n\n// append the svg object to the body of the page\nvar svg = d3\n   .select(element.get(0))\n  .append(\"svg\")\n    .attr(\"width\", width + margin.left + margin.right)\n    .attr(\"height\", height + margin.top + margin.bottom)\n    .style(\"background\", \"#1F1F1F\")\n  .append(\"g\")\n    .attr(\"transform\",\n          \"translate(\" + margin.left + \",\" + margin.top + \")\")\n\n// Obtain title\nvar title = \"Barabasi-Albert\"\nvar titleFontSize = 16\n\nif ( title.length > 0 ) {\n    svg.append(\"text\")\n        .attr(\"x\", (width / 2))\n        .attr(\"y\", 0 - (margin.top / 2))\n        .attr(\"text-anchor\", \"middle\")\n        .style(\"font-size\", titleFontSize.toString() + \"px\")\n        .style(\"fill\", \"Ivory\")\n        .text(title);\n}\n\nconst edges = [{\"weight\":1,\"to\":\"6\",\"label\":\"\",\"from\":\"10\"},{\"to\":\"2\",\"from\":\"10\",\"label\":\"\",\"weight\":1},{\"from\":\"16\",\"to\":\"7\",\"weight\":1,\"label\":\"\"},{\"from\":\"12\",\"to\":\"16\",\"label\":\"\",\"weight\":1},{\"from\":\"16\",\"weight\":1,\"to\":\"17\",\"label\":\"\"},{\"to\":\"9\",\"weight\":1,\"label\":\"\",\"from\":\"1\"},{\"from\":\"0\",\"weight\":1,\"label\":\"\",\"to\":\"9\"},{\"weight\":1,\"to\":\"9\",\"label\":\"\",\"from\":\"11\"},{\"weight\":1,\"from\":\"12\",\"label\":\"\",\"to\":\"9\"},{\"label\":\"\",\"to\":\"18\",\"weight\":1,\"from\":\"1\"},{\"weight\":1,\"label\":\"\",\"from\":\"1\",\"to\":\"3\"},{\"from\":\"0\",\"to\":\"1\",\"weight\":1,\"label\":\"\"},{\"weight\":1,\"to\":\"5\",\"from\":\"1\",\"label\":\"\"},{\"label\":\"\",\"weight\":1,\"from\":\"1\",\"to\":\"4\"},{\"label\":\"\",\"weight\":1,\"from\":\"1\",\"to\":\"2\"},{\"to\":\"8\",\"weight\":1,\"from\":\"15\",\"label\":\"\"},{\"from\":\"6\",\"to\":\"8\",\"label\":\"\",\"weight\":1},{\"from\":\"18\",\"to\":\"8\",\"label\":\"\",\"weight\":1},{\"weight\":1,\"from\":\"14\",\"to\":\"8\",\"label\":\"\"},{\"from\":\"4\",\"weight\":1,\"to\":\"8\",\"label\":\"\"},{\"weight\":1,\"from\":\"2\",\"to\":\"3\",\"label\":\"\"},{\"to\":\"3\",\"from\":\"15\",\"weight\":1,\"label\":\"\"},{\"to\":\"7\",\"weight\":1,\"label\":\"\",\"from\":\"0\"},{\"weight\":1,\"from\":\"6\",\"label\":\"\",\"to\":\"7\"},{\"label\":\"\",\"from\":\"17\",\"to\":\"7\",\"weight\":1},{\"to\":\"19\",\"weight\":1,\"from\":\"15\",\"label\":\"\"},{\"to\":\"6\",\"from\":\"19\",\"weight\":1,\"label\":\"\"},{\"label\":\"\",\"to\":\"4\",\"from\":\"2\",\"weight\":1},{\"to\":\"2\",\"weight\":1,\"from\":\"13\",\"label\":\"\"},{\"from\":\"0\",\"to\":\"2\",\"label\":\"\",\"weight\":1},{\"weight\":1,\"from\":\"0\",\"label\":\"\",\"to\":\"14\"},{\"weight\":1,\"from\":\"0\",\"to\":\"6\",\"label\":\"\"},{\"to\":\"5\",\"label\":\"\",\"weight\":1,\"from\":\"0\"},{\"to\":\"13\",\"weight\":1,\"from\":\"0\",\"label\":\"\"},{\"to\":\"6\",\"label\":\"\",\"from\":\"5\",\"weight\":1},{\"from\":\"12\",\"weight\":1,\"label\":\"\",\"to\":\"6\"}];\n\nconst nodes = Array.from(new Set(edges.flatMap(e => [e.from, e.to])), id => ({id}));\n\nconst highlightSpecs = {};\n\nconst links = edges.map(e => ({\n  source: e.from,\n  target: e.to,\n  weight: e.weight,\n  label: e.label,\n}));\n\n//.force(\"link\", d3.forceLink(links).id(d => d.id).distance(d => Math.max(d.weight * 20, 3 * 4)))\nconst simulation = d3.forceSimulation(nodes)\n    .force(\"link\", d3.forceLink(links).id(d => d.id).iterations(1))\n    .force(\"charge\", d3.forceManyBody().strength(-200).distanceMin(1).distanceMax(2000))\n    .force(\"x\", d3.forceX())\n    .force(\"y\", d3.forceY())\n    .force(\"collision\", d3.forceCollide())\n    .force(\"center\", d3.forceCenter(width / 2, height / 2));\n\nsvg.append('defs').append('marker')\n    .attr(\"id\",'arrowhead')\n    .attr('viewBox','-0 -5 10 10') //the bound of the SVG viewport for the current SVG fragment. defines a coordinate system 10 wide and 10 high starting on (0,-5)\n     .attr('refX', 11) // x coordinate for the reference point of the marker. If circle is bigger, this need to be bigger.\n     .attr('refY',0)\n     .attr('orient','auto')\n        .attr('markerWidth', 4)\n        .attr('markerHeight', 4)\n        .attr('xoverflow','visible')\n    .append('svg:path')\n    .attr('d', 'M 0,-5 L 10 ,0 L 0,5')\n    .attr('fill', \"SteelBlue\")\n    .style('stroke','none');\n\nconst link = svg.append(\"g\")\n    .attr(\"class\", \"links\")\n  .selectAll(\"line\")\n  .data(links)\n  .enter().append(\"line\")\n    .attr(\"class\", \"link\")\n    .attr(\"stroke\", d => {\n        for (const [color, items] of Object.entries(highlightSpecs)) {\n            if (items.some(item => Array.isArray(item) && item[0] === d.source.id && item[1] === d.target.id)) {\n                return color;\n            }\n        }\n        return \"SteelBlue\";\n    })\n    .attr(\"stroke-width\", 2)\n    \n\nconst node = svg.append(\"g\")\n    .attr(\"class\", \"nodes\")\n  .selectAll(\"circle\")\n  .data(nodes)\n  .enter().append(\"circle\")\n    .attr(\"class\", \"node\")\n    .attr(\"r\", 3)\n    .attr(\"stroke\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .attr(\"fill\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .call(drag(simulation));\n\nnode.append(\"title\")\n    .text(d => d.id);\n\nconst nodeLabel = svg.append(\"g\")\n    .attr(\"class\", \"node-labels\")\n  .selectAll(\"text\")\n  .data(nodes)\n  .enter().append(\"text\")\n    .attr(\"class\", \"node-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier New\")\n    .attr(\"font-weight\", 100)\n    .attr(\"dy\", -10)\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.id);\n\nconst linkLabel = svg.append(\"g\")\n    .attr(\"class\", \"link-labels\")\n  .selectAll(\"text\")\n  .data(links)\n  .enter().append(\"text\")\n    .filter(d => d.label !== \"\")\n    .attr(\"class\", \"link-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier\")\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.label);\n\nsimulation.on(\"tick\", () => {\n  link\n      .attr(\"x1\", d => d.source.x)\n      .attr(\"y1\", d => d.source.y)\n      .attr(\"x2\", d => d.target.x)\n      .attr(\"y2\", d => d.target.y);\n\n  node\n      .attr(\"cx\", d => d.x)\n      .attr(\"cy\", d => d.y);\n\n  nodeLabel\n      .attr(\"x\", d => d.x)\n      .attr(\"y\", d => d.y);\n\n  linkLabel\n      .attr(\"x\", d => (d.source.x + d.target.x) / 2)\n      .attr(\"y\", d => (d.source.y + d.target.y) / 2);\n});\n\nfunction drag(simulation) {\n  function dragstarted(event, d) {\n    if (!event.active) simulation.alphaTarget(0.3).restart();\n    d.fx = d.x;\n    d.fy = d.y;\n  }\n\n  function dragged(event, d) {\n    d.fx = event.x;\n    d.fy = event.y;\n  }\n\n  function dragended(event, d) {\n    if (!event.active) simulation.alphaTarget(0);\n    d.fx = null;\n    d.fy = null;\n  }\n\n  return d3.drag()\n      .on(\"start\", dragstarted)\n      .on(\"drag\", dragged)\n      .on(\"end\", dragended);\n}\n\n}) })(element);\n\n(function(element) { require(['d3'], function(d3) {\n\n// set the dimensions and margins of the graph\nvar margin = {\"left\":40,\"top\":40,\"right\":40,\"bottom\":40},\n    width = 400 - margin.left - margin.right,\n    height = 247 - margin.top - margin.bottom;\n\n// append the svg object to the body of the page\nvar svg = d3\n   .select(element.get(0))\n  .append(\"svg\")\n    .attr(\"width\", width + margin.left + margin.right)\n    .attr(\"height\", height + margin.top + margin.bottom)\n    .style(\"background\", \"#1F1F1F\")\n  .append(\"g\")\n    .attr(\"transform\",\n          \"translate(\" + margin.left + \",\" + margin.top + \")\")\n\n// Obtain title\nvar title = \"Circulant\"\nvar titleFontSize = 16\n\nif ( title.length > 0 ) {\n    svg.append(\"text\")\n        .attr(\"x\", (width / 2))\n        .attr(\"y\", 0 - (margin.top / 2))\n        .attr(\"text-anchor\", \"middle\")\n        .style(\"font-size\", titleFontSize.toString() + \"px\")\n        .style(\"fill\", \"Ivory\")\n        .text(title);\n}\n\nconst edges = [{\"to\":\"2\",\"weight\":1,\"from\":\"0\",\"label\":\"\"},{\"weight\":1,\"from\":\"0\",\"label\":\"\",\"to\":\"3\"},{\"label\":\"\",\"to\":\"4\",\"from\":\"2\",\"weight\":1},{\"from\":\"1\",\"label\":\"\",\"weight\":1,\"to\":\"4\"},{\"to\":\"3\",\"from\":\"1\",\"label\":\"\",\"weight\":1}];\n\nconst nodes = Array.from(new Set(edges.flatMap(e => [e.from, e.to])), id => ({id}));\n\nconst highlightSpecs = {};\n\nconst links = edges.map(e => ({\n  source: e.from,\n  target: e.to,\n  weight: e.weight,\n  label: e.label,\n}));\n\n//.force(\"link\", d3.forceLink(links).id(d => d.id).distance(d => Math.max(d.weight * 20, 3 * 4)))\nconst simulation = d3.forceSimulation(nodes)\n    .force(\"link\", d3.forceLink(links).id(d => d.id).iterations(1))\n    .force(\"charge\", d3.forceManyBody().strength(-200).distanceMin(1).distanceMax(2000))\n    .force(\"x\", d3.forceX())\n    .force(\"y\", d3.forceY())\n    .force(\"collision\", d3.forceCollide())\n    .force(\"center\", d3.forceCenter(width / 2, height / 2));\n\nsvg.append('defs').append('marker')\n    .attr(\"id\",'arrowhead')\n    .attr('viewBox','-0 -5 10 10') //the bound of the SVG viewport for the current SVG fragment. defines a coordinate system 10 wide and 10 high starting on (0,-5)\n     .attr('refX', 11) // x coordinate for the reference point of the marker. If circle is bigger, this need to be bigger.\n     .attr('refY',0)\n     .attr('orient','auto')\n        .attr('markerWidth', 4)\n        .attr('markerHeight', 4)\n        .attr('xoverflow','visible')\n    .append('svg:path')\n    .attr('d', 'M 0,-5 L 10 ,0 L 0,5')\n    .attr('fill', \"SteelBlue\")\n    .style('stroke','none');\n\nconst link = svg.append(\"g\")\n    .attr(\"class\", \"links\")\n  .selectAll(\"line\")\n  .data(links)\n  .enter().append(\"line\")\n    .attr(\"class\", \"link\")\n    .attr(\"stroke\", d => {\n        for (const [color, items] of Object.entries(highlightSpecs)) {\n            if (items.some(item => Array.isArray(item) && item[0] === d.source.id && item[1] === d.target.id)) {\n                return color;\n            }\n        }\n        return \"SteelBlue\";\n    })\n    .attr(\"stroke-width\", 2)\n    \n\nconst node = svg.append(\"g\")\n    .attr(\"class\", \"nodes\")\n  .selectAll(\"circle\")\n  .data(nodes)\n  .enter().append(\"circle\")\n    .attr(\"class\", \"node\")\n    .attr(\"r\", 3)\n    .attr(\"stroke\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .attr(\"fill\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .call(drag(simulation));\n\nnode.append(\"title\")\n    .text(d => d.id);\n\nconst nodeLabel = svg.append(\"g\")\n    .attr(\"class\", \"node-labels\")\n  .selectAll(\"text\")\n  .data(nodes)\n  .enter().append(\"text\")\n    .attr(\"class\", \"node-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier New\")\n    .attr(\"font-weight\", 100)\n    .attr(\"dy\", -10)\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.id);\n\nconst linkLabel = svg.append(\"g\")\n    .attr(\"class\", \"link-labels\")\n  .selectAll(\"text\")\n  .data(links)\n  .enter().append(\"text\")\n    .filter(d => d.label !== \"\")\n    .attr(\"class\", \"link-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier\")\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.label);\n\nsimulation.on(\"tick\", () => {\n  link\n      .attr(\"x1\", d => d.source.x)\n      .attr(\"y1\", d => d.source.y)\n      .attr(\"x2\", d => d.target.x)\n      .attr(\"y2\", d => d.target.y);\n\n  node\n      .attr(\"cx\", d => d.x)\n      .attr(\"cy\", d => d.y);\n\n  nodeLabel\n      .attr(\"x\", d => d.x)\n      .attr(\"y\", d => d.y);\n\n  linkLabel\n      .attr(\"x\", d => (d.source.x + d.target.x) / 2)\n      .attr(\"y\", d => (d.source.y + d.target.y) / 2);\n});\n\nfunction drag(simulation) {\n  function dragstarted(event, d) {\n    if (!event.active) simulation.alphaTarget(0.3).restart();\n    d.fx = d.x;\n    d.fy = d.y;\n  }\n\n  function dragged(event, d) {\n    d.fx = event.x;\n    d.fy = event.y;\n  }\n\n  function dragended(event, d) {\n    if (!event.active) simulation.alphaTarget(0);\n    d.fx = null;\n    d.fy = null;\n  }\n\n  return d3.drag()\n      .on(\"start\", dragstarted)\n      .on(\"drag\", dragged)\n      .on(\"end\", dragended);\n}\n\n}) })(element);\n\n(function(element) { require(['d3'], function(d3) {\n\n// set the dimensions and margins of the graph\nvar margin = {\"left\":40,\"right\":40,\"top\":40,\"bottom\":40},\n    width = 400 - margin.left - margin.right,\n    height = 247 - margin.top - margin.bottom;\n\n// append the svg object to the body of the page\nvar svg = d3\n   .select(element.get(0))\n  .append(\"svg\")\n    .attr(\"width\", width + margin.left + margin.right)\n    .attr(\"height\", height + margin.top + margin.bottom)\n    .style(\"background\", \"#1F1F1F\")\n  .append(\"g\")\n    .attr(\"transform\",\n          \"translate(\" + margin.left + \",\" + margin.top + \")\")\n\n// Obtain title\nvar title = \"Complete\"\nvar titleFontSize = 16\n\nif ( title.length > 0 ) {\n    svg.append(\"text\")\n        .attr(\"x\", (width / 2))\n        .attr(\"y\", 0 - (margin.top / 2))\n        .attr(\"text-anchor\", \"middle\")\n        .style(\"font-size\", titleFontSize.toString() + \"px\")\n        .style(\"fill\", \"Ivory\")\n        .text(title);\n}\n\nconst edges = [{\"label\":\"\",\"to\":\"5\",\"weight\":1,\"from\":\"3\"},{\"label\":\"\",\"weight\":1,\"to\":\"5\",\"from\":\"2\"},{\"weight\":1,\"from\":\"1\",\"to\":\"5\",\"label\":\"\"},{\"weight\":1,\"label\":\"\",\"to\":\"5\",\"from\":\"4\"},{\"label\":\"\",\"from\":\"1\",\"weight\":1,\"to\":\"2\"},{\"from\":\"2\",\"weight\":1,\"label\":\"\",\"to\":\"4\"},{\"label\":\"\",\"from\":\"2\",\"to\":\"3\",\"weight\":1},{\"label\":\"\",\"from\":\"3\",\"to\":\"4\",\"weight\":1},{\"from\":\"1\",\"to\":\"4\",\"label\":\"\",\"weight\":1},{\"to\":\"3\",\"weight\":1,\"from\":\"1\",\"label\":\"\"}];\n\nconst nodes = Array.from(new Set(edges.flatMap(e => [e.from, e.to])), id => ({id}));\n\nconst highlightSpecs = {};\n\nconst links = edges.map(e => ({\n  source: e.from,\n  target: e.to,\n  weight: e.weight,\n  label: e.label,\n}));\n\n//.force(\"link\", d3.forceLink(links).id(d => d.id).distance(d => Math.max(d.weight * 20, 3 * 4)))\nconst simulation = d3.forceSimulation(nodes)\n    .force(\"link\", d3.forceLink(links).id(d => d.id).iterations(1))\n    .force(\"charge\", d3.forceManyBody().strength(-200).distanceMin(1).distanceMax(2000))\n    .force(\"x\", d3.forceX())\n    .force(\"y\", d3.forceY())\n    .force(\"collision\", d3.forceCollide())\n    .force(\"center\", d3.forceCenter(width / 2, height / 2));\n\nsvg.append('defs').append('marker')\n    .attr(\"id\",'arrowhead')\n    .attr('viewBox','-0 -5 10 10') //the bound of the SVG viewport for the current SVG fragment. defines a coordinate system 10 wide and 10 high starting on (0,-5)\n     .attr('refX', 11) // x coordinate for the reference point of the marker. If circle is bigger, this need to be bigger.\n     .attr('refY',0)\n     .attr('orient','auto')\n        .attr('markerWidth', 4)\n        .attr('markerHeight', 4)\n        .attr('xoverflow','visible')\n    .append('svg:path')\n    .attr('d', 'M 0,-5 L 10 ,0 L 0,5')\n    .attr('fill', \"SteelBlue\")\n    .style('stroke','none');\n\nconst link = svg.append(\"g\")\n    .attr(\"class\", \"links\")\n  .selectAll(\"line\")\n  .data(links)\n  .enter().append(\"line\")\n    .attr(\"class\", \"link\")\n    .attr(\"stroke\", d => {\n        for (const [color, items] of Object.entries(highlightSpecs)) {\n            if (items.some(item => Array.isArray(item) && item[0] === d.source.id && item[1] === d.target.id)) {\n                return color;\n            }\n        }\n        return \"SteelBlue\";\n    })\n    .attr(\"stroke-width\", 2)\n    \n\nconst node = svg.append(\"g\")\n    .attr(\"class\", \"nodes\")\n  .selectAll(\"circle\")\n  .data(nodes)\n  .enter().append(\"circle\")\n    .attr(\"class\", \"node\")\n    .attr(\"r\", 3)\n    .attr(\"stroke\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .attr(\"fill\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .call(drag(simulation));\n\nnode.append(\"title\")\n    .text(d => d.id);\n\nconst nodeLabel = svg.append(\"g\")\n    .attr(\"class\", \"node-labels\")\n  .selectAll(\"text\")\n  .data(nodes)\n  .enter().append(\"text\")\n    .attr(\"class\", \"node-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier New\")\n    .attr(\"font-weight\", 100)\n    .attr(\"dy\", -10)\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.id);\n\nconst linkLabel = svg.append(\"g\")\n    .attr(\"class\", \"link-labels\")\n  .selectAll(\"text\")\n  .data(links)\n  .enter().append(\"text\")\n    .filter(d => d.label !== \"\")\n    .attr(\"class\", \"link-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier\")\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.label);\n\nsimulation.on(\"tick\", () => {\n  link\n      .attr(\"x1\", d => d.source.x)\n      .attr(\"y1\", d => d.source.y)\n      .attr(\"x2\", d => d.target.x)\n      .attr(\"y2\", d => d.target.y);\n\n  node\n      .attr(\"cx\", d => d.x)\n      .attr(\"cy\", d => d.y);\n\n  nodeLabel\n      .attr(\"x\", d => d.x)\n      .attr(\"y\", d => d.y);\n\n  linkLabel\n      .attr(\"x\", d => (d.source.x + d.target.x) / 2)\n      .attr(\"y\", d => (d.source.y + d.target.y) / 2);\n});\n\nfunction drag(simulation) {\n  function dragstarted(event, d) {\n    if (!event.active) simulation.alphaTarget(0.3).restart();\n    d.fx = d.x;\n    d.fy = d.y;\n  }\n\n  function dragged(event, d) {\n    d.fx = event.x;\n    d.fy = event.y;\n  }\n\n  function dragended(event, d) {\n    if (!event.active) simulation.alphaTarget(0);\n    d.fx = null;\n    d.fy = null;\n  }\n\n  return d3.drag()\n      .on(\"start\", dragstarted)\n      .on(\"drag\", dragged)\n      .on(\"end\", dragended);\n}\n\n}) })(element);\n\n(function(element) { require(['d3'], function(d3) {\n\n// set the dimensions and margins of the graph\nvar margin = {\"right\":40,\"left\":40,\"bottom\":40,\"top\":40},\n    width = 400 - margin.left - margin.right,\n    height = 247 - margin.top - margin.bottom;\n\n// append the svg object to the body of the page\nvar svg = d3\n   .select(element.get(0))\n  .append(\"svg\")\n    .attr(\"width\", width + margin.left + margin.right)\n    .attr(\"height\", height + margin.top + margin.bottom)\n    .style(\"background\", \"#1F1F1F\")\n  .append(\"g\")\n    .attr(\"transform\",\n          \"translate(\" + margin.left + \",\" + margin.top + \")\")\n\n// Obtain title\nvar title = \"CompleteKaryTree\"\nvar titleFontSize = 16\n\nif ( title.length > 0 ) {\n    svg.append(\"text\")\n        .attr(\"x\", (width / 2))\n        .attr(\"y\", 0 - (margin.top / 2))\n        .attr(\"text-anchor\", \"middle\")\n        .style(\"font-size\", titleFontSize.toString() + \"px\")\n        .style(\"fill\", \"Ivory\")\n        .text(title);\n}\n\nconst edges = [{\"from\":\"10\",\"weight\":1,\"label\":\"\",\"to\":\"3\"},{\"to\":\"2\",\"label\":\"\",\"weight\":1,\"from\":\"0\"},{\"weight\":1,\"to\":\"1\",\"label\":\"\",\"from\":\"0\"},{\"label\":\"\",\"weight\":1,\"from\":\"0\",\"to\":\"3\"},{\"label\":\"\",\"to\":\"3\",\"weight\":1,\"from\":\"12\"},{\"label\":\"\",\"to\":\"6\",\"weight\":1,\"from\":\"1\"},{\"weight\":1,\"from\":\"1\",\"to\":\"5\",\"label\":\"\"},{\"weight\":1,\"label\":\"\",\"from\":\"2\",\"to\":\"7\"},{\"weight\":1,\"label\":\"\",\"to\":\"9\",\"from\":\"2\"},{\"to\":\"4\",\"weight\":1,\"label\":\"\",\"from\":\"1\"},{\"weight\":1,\"from\":\"2\",\"to\":\"8\",\"label\":\"\"},{\"to\":\"3\",\"label\":\"\",\"from\":\"11\",\"weight\":1}];\n\nconst nodes = Array.from(new Set(edges.flatMap(e => [e.from, e.to])), id => ({id}));\n\nconst highlightSpecs = {};\n\nconst links = edges.map(e => ({\n  source: e.from,\n  target: e.to,\n  weight: e.weight,\n  label: e.label,\n}));\n\n//.force(\"link\", d3.forceLink(links).id(d => d.id).distance(d => Math.max(d.weight * 20, 3 * 4)))\nconst simulation = d3.forceSimulation(nodes)\n    .force(\"link\", d3.forceLink(links).id(d => d.id).iterations(1))\n    .force(\"charge\", d3.forceManyBody().strength(-200).distanceMin(1).distanceMax(2000))\n    .force(\"x\", d3.forceX())\n    .force(\"y\", d3.forceY())\n    .force(\"collision\", d3.forceCollide())\n    .force(\"center\", d3.forceCenter(width / 2, height / 2));\n\nsvg.append('defs').append('marker')\n    .attr(\"id\",'arrowhead')\n    .attr('viewBox','-0 -5 10 10') //the bound of the SVG viewport for the current SVG fragment. defines a coordinate system 10 wide and 10 high starting on (0,-5)\n     .attr('refX', 11) // x coordinate for the reference point of the marker. If circle is bigger, this need to be bigger.\n     .attr('refY',0)\n     .attr('orient','auto')\n        .attr('markerWidth', 4)\n        .attr('markerHeight', 4)\n        .attr('xoverflow','visible')\n    .append('svg:path')\n    .attr('d', 'M 0,-5 L 10 ,0 L 0,5')\n    .attr('fill', \"SteelBlue\")\n    .style('stroke','none');\n\nconst link = svg.append(\"g\")\n    .attr(\"class\", \"links\")\n  .selectAll(\"line\")\n  .data(links)\n  .enter().append(\"line\")\n    .attr(\"class\", \"link\")\n    .attr(\"stroke\", d => {\n        for (const [color, items] of Object.entries(highlightSpecs)) {\n            if (items.some(item => Array.isArray(item) && item[0] === d.source.id && item[1] === d.target.id)) {\n                return color;\n            }\n        }\n        return \"SteelBlue\";\n    })\n    .attr(\"stroke-width\", 2)\n    \n\nconst node = svg.append(\"g\")\n    .attr(\"class\", \"nodes\")\n  .selectAll(\"circle\")\n  .data(nodes)\n  .enter().append(\"circle\")\n    .attr(\"class\", \"node\")\n    .attr(\"r\", 3)\n    .attr(\"stroke\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .attr(\"fill\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .call(drag(simulation));\n\nnode.append(\"title\")\n    .text(d => d.id);\n\nconst nodeLabel = svg.append(\"g\")\n    .attr(\"class\", \"node-labels\")\n  .selectAll(\"text\")\n  .data(nodes)\n  .enter().append(\"text\")\n    .attr(\"class\", \"node-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier New\")\n    .attr(\"font-weight\", 100)\n    .attr(\"dy\", -10)\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.id);\n\nconst linkLabel = svg.append(\"g\")\n    .attr(\"class\", \"link-labels\")\n  .selectAll(\"text\")\n  .data(links)\n  .enter().append(\"text\")\n    .filter(d => d.label !== \"\")\n    .attr(\"class\", \"link-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier\")\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.label);\n\nsimulation.on(\"tick\", () => {\n  link\n      .attr(\"x1\", d => d.source.x)\n      .attr(\"y1\", d => d.source.y)\n      .attr(\"x2\", d => d.target.x)\n      .attr(\"y2\", d => d.target.y);\n\n  node\n      .attr(\"cx\", d => d.x)\n      .attr(\"cy\", d => d.y);\n\n  nodeLabel\n      .attr(\"x\", d => d.x)\n      .attr(\"y\", d => d.y);\n\n  linkLabel\n      .attr(\"x\", d => (d.source.x + d.target.x) / 2)\n      .attr(\"y\", d => (d.source.y + d.target.y) / 2);\n});\n\nfunction drag(simulation) {\n  function dragstarted(event, d) {\n    if (!event.active) simulation.alphaTarget(0.3).restart();\n    d.fx = d.x;\n    d.fy = d.y;\n  }\n\n  function dragged(event, d) {\n    d.fx = event.x;\n    d.fy = event.y;\n  }\n\n  function dragended(event, d) {\n    if (!event.active) simulation.alphaTarget(0);\n    d.fx = null;\n    d.fy = null;\n  }\n\n  return d3.drag()\n      .on(\"start\", dragstarted)\n      .on(\"drag\", dragged)\n      .on(\"end\", dragended);\n}\n\n}) })(element);\n\n(function(element) { require(['d3'], function(d3) {\n\n// set the dimensions and margins of the graph\nvar margin = {\"right\":40,\"bottom\":40,\"top\":40,\"left\":40},\n    width = 400 - margin.left - margin.right,\n    height = 247 - margin.top - margin.bottom;\n\n// append the svg object to the body of the page\nvar svg = d3\n   .select(element.get(0))\n  .append(\"svg\")\n    .attr(\"width\", width + margin.left + margin.right)\n    .attr(\"height\", height + margin.top + margin.bottom)\n    .style(\"background\", \"#1F1F1F\")\n  .append(\"g\")\n    .attr(\"transform\",\n          \"translate(\" + margin.left + \",\" + margin.top + \")\")\n\n// Obtain title\nvar title = \"Cycle\"\nvar titleFontSize = 16\n\nif ( title.length > 0 ) {\n    svg.append(\"text\")\n        .attr(\"x\", (width / 2))\n        .attr(\"y\", 0 - (margin.top / 2))\n        .attr(\"text-anchor\", \"middle\")\n        .style(\"font-size\", titleFontSize.toString() + \"px\")\n        .style(\"fill\", \"Ivory\")\n        .text(title);\n}\n\nconst edges = [{\"label\":\"\",\"from\":\"0\",\"weight\":1,\"to\":\"7\"},{\"label\":\"\",\"from\":\"0\",\"weight\":1,\"to\":\"1\"},{\"to\":\"5\",\"weight\":1,\"from\":\"4\",\"label\":\"\"},{\"to\":\"4\",\"weight\":1,\"label\":\"\",\"from\":\"3\"},{\"label\":\"\",\"to\":\"3\",\"from\":\"2\",\"weight\":1},{\"weight\":1,\"from\":\"6\",\"to\":\"7\",\"label\":\"\"},{\"label\":\"\",\"weight\":1,\"to\":\"6\",\"from\":\"5\"},{\"weight\":1,\"from\":\"1\",\"label\":\"\",\"to\":\"2\"}];\n\nconst nodes = Array.from(new Set(edges.flatMap(e => [e.from, e.to])), id => ({id}));\n\nconst highlightSpecs = {};\n\nconst links = edges.map(e => ({\n  source: e.from,\n  target: e.to,\n  weight: e.weight,\n  label: e.label,\n}));\n\n//.force(\"link\", d3.forceLink(links).id(d => d.id).distance(d => Math.max(d.weight * 20, 3 * 4)))\nconst simulation = d3.forceSimulation(nodes)\n    .force(\"link\", d3.forceLink(links).id(d => d.id).iterations(1))\n    .force(\"charge\", d3.forceManyBody().strength(-200).distanceMin(1).distanceMax(2000))\n    .force(\"x\", d3.forceX())\n    .force(\"y\", d3.forceY())\n    .force(\"collision\", d3.forceCollide())\n    .force(\"center\", d3.forceCenter(width / 2, height / 2));\n\nsvg.append('defs').append('marker')\n    .attr(\"id\",'arrowhead')\n    .attr('viewBox','-0 -5 10 10') //the bound of the SVG viewport for the current SVG fragment. defines a coordinate system 10 wide and 10 high starting on (0,-5)\n     .attr('refX', 11) // x coordinate for the reference point of the marker. If circle is bigger, this need to be bigger.\n     .attr('refY',0)\n     .attr('orient','auto')\n        .attr('markerWidth', 4)\n        .attr('markerHeight', 4)\n        .attr('xoverflow','visible')\n    .append('svg:path')\n    .attr('d', 'M 0,-5 L 10 ,0 L 0,5')\n    .attr('fill', \"SteelBlue\")\n    .style('stroke','none');\n\nconst link = svg.append(\"g\")\n    .attr(\"class\", \"links\")\n  .selectAll(\"line\")\n  .data(links)\n  .enter().append(\"line\")\n    .attr(\"class\", \"link\")\n    .attr(\"stroke\", d => {\n        for (const [color, items] of Object.entries(highlightSpecs)) {\n            if (items.some(item => Array.isArray(item) && item[0] === d.source.id && item[1] === d.target.id)) {\n                return color;\n            }\n        }\n        return \"SteelBlue\";\n    })\n    .attr(\"stroke-width\", 2)\n    \n\nconst node = svg.append(\"g\")\n    .attr(\"class\", \"nodes\")\n  .selectAll(\"circle\")\n  .data(nodes)\n  .enter().append(\"circle\")\n    .attr(\"class\", \"node\")\n    .attr(\"r\", 3)\n    .attr(\"stroke\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .attr(\"fill\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .call(drag(simulation));\n\nnode.append(\"title\")\n    .text(d => d.id);\n\nconst nodeLabel = svg.append(\"g\")\n    .attr(\"class\", \"node-labels\")\n  .selectAll(\"text\")\n  .data(nodes)\n  .enter().append(\"text\")\n    .attr(\"class\", \"node-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier New\")\n    .attr(\"font-weight\", 100)\n    .attr(\"dy\", -10)\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.id);\n\nconst linkLabel = svg.append(\"g\")\n    .attr(\"class\", \"link-labels\")\n  .selectAll(\"text\")\n  .data(links)\n  .enter().append(\"text\")\n    .filter(d => d.label !== \"\")\n    .attr(\"class\", \"link-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier\")\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.label);\n\nsimulation.on(\"tick\", () => {\n  link\n      .attr(\"x1\", d => d.source.x)\n      .attr(\"y1\", d => d.source.y)\n      .attr(\"x2\", d => d.target.x)\n      .attr(\"y2\", d => d.target.y);\n\n  node\n      .attr(\"cx\", d => d.x)\n      .attr(\"cy\", d => d.y);\n\n  nodeLabel\n      .attr(\"x\", d => d.x)\n      .attr(\"y\", d => d.y);\n\n  linkLabel\n      .attr(\"x\", d => (d.source.x + d.target.x) / 2)\n      .attr(\"y\", d => (d.source.y + d.target.y) / 2);\n});\n\nfunction drag(simulation) {\n  function dragstarted(event, d) {\n    if (!event.active) simulation.alphaTarget(0.3).restart();\n    d.fx = d.x;\n    d.fy = d.y;\n  }\n\n  function dragged(event, d) {\n    d.fx = event.x;\n    d.fy = event.y;\n  }\n\n  function dragended(event, d) {\n    if (!event.active) simulation.alphaTarget(0);\n    d.fx = null;\n    d.fy = null;\n  }\n\n  return d3.drag()\n      .on(\"start\", dragstarted)\n      .on(\"drag\", dragged)\n      .on(\"end\", dragended);\n}\n\n}) })(element);\n\n(function(element) { require(['d3'], function(d3) {\n\n// set the dimensions and margins of the graph\nvar margin = {\"bottom\":40,\"right\":40,\"top\":40,\"left\":40},\n    width = 400 - margin.left - margin.right,\n    height = 247 - margin.top - margin.bottom;\n\n// append the svg object to the body of the page\nvar svg = d3\n   .select(element.get(0))\n  .append(\"svg\")\n    .attr(\"width\", width + margin.left + margin.right)\n    .attr(\"height\", height + margin.top + margin.bottom)\n    .style(\"background\", \"#1F1F1F\")\n  .append(\"g\")\n    .attr(\"transform\",\n          \"translate(\" + margin.left + \",\" + margin.top + \")\")\n\n// Obtain title\nvar title = \"Grid\"\nvar titleFontSize = 16\n\nif ( title.length > 0 ) {\n    svg.append(\"text\")\n        .attr(\"x\", (width / 2))\n        .attr(\"y\", 0 - (margin.top / 2))\n        .attr(\"text-anchor\", \"middle\")\n        .style(\"font-size\", titleFontSize.toString() + \"px\")\n        .style(\"fill\", \"Ivory\")\n        .text(title);\n}\n\nconst edges = [{\"label\":\"\",\"weight\":1,\"from\":\"2_0\",\"to\":\"2_1\"},{\"label\":\"\",\"weight\":1,\"to\":\"2_0\",\"from\":\"1_0\"},{\"weight\":1,\"to\":\"3_0\",\"from\":\"2_0\",\"label\":\"\"},{\"to\":\"0_1\",\"from\":\"0_0\",\"weight\":1,\"label\":\"\"},{\"to\":\"0_2\",\"label\":\"\",\"weight\":1,\"from\":\"0_1\"},{\"from\":\"0_1\",\"label\":\"\",\"weight\":1,\"to\":\"1_1\"},{\"label\":\"\",\"weight\":1,\"from\":\"0_0\",\"to\":\"1_0\"},{\"weight\":1,\"to\":\"3_1\",\"from\":\"3_0\",\"label\":\"\"},{\"from\":\"3_1\",\"label\":\"\",\"weight\":1,\"to\":\"3_2\"},{\"weight\":1,\"label\":\"\",\"to\":\"3_1\",\"from\":\"2_1\"},{\"weight\":1,\"to\":\"2_1\",\"label\":\"\",\"from\":\"1_1\"},{\"to\":\"2_2\",\"weight\":1,\"from\":\"2_1\",\"label\":\"\"},{\"weight\":1,\"to\":\"1_1\",\"from\":\"1_0\",\"label\":\"\"},{\"from\":\"1_2\",\"to\":\"2_2\",\"weight\":1,\"label\":\"\"},{\"label\":\"\",\"from\":\"2_2\",\"weight\":1,\"to\":\"3_2\"},{\"label\":\"\",\"to\":\"1_2\",\"weight\":1,\"from\":\"1_1\"},{\"weight\":1,\"from\":\"0_2\",\"to\":\"1_2\",\"label\":\"\"}];\n\nconst nodes = Array.from(new Set(edges.flatMap(e => [e.from, e.to])), id => ({id}));\n\nconst highlightSpecs = {};\n\nconst links = edges.map(e => ({\n  source: e.from,\n  target: e.to,\n  weight: e.weight,\n  label: e.label,\n}));\n\n//.force(\"link\", d3.forceLink(links).id(d => d.id).distance(d => Math.max(d.weight * 20, 3 * 4)))\nconst simulation = d3.forceSimulation(nodes)\n    .force(\"link\", d3.forceLink(links).id(d => d.id).iterations(1))\n    .force(\"charge\", d3.forceManyBody().strength(-200).distanceMin(1).distanceMax(2000))\n    .force(\"x\", d3.forceX())\n    .force(\"y\", d3.forceY())\n    .force(\"collision\", d3.forceCollide())\n    .force(\"center\", d3.forceCenter(width / 2, height / 2));\n\nsvg.append('defs').append('marker')\n    .attr(\"id\",'arrowhead')\n    .attr('viewBox','-0 -5 10 10') //the bound of the SVG viewport for the current SVG fragment. defines a coordinate system 10 wide and 10 high starting on (0,-5)\n     .attr('refX', 11) // x coordinate for the reference point of the marker. If circle is bigger, this need to be bigger.\n     .attr('refY',0)\n     .attr('orient','auto')\n        .attr('markerWidth', 4)\n        .attr('markerHeight', 4)\n        .attr('xoverflow','visible')\n    .append('svg:path')\n    .attr('d', 'M 0,-5 L 10 ,0 L 0,5')\n    .attr('fill', \"SteelBlue\")\n    .style('stroke','none');\n\nconst link = svg.append(\"g\")\n    .attr(\"class\", \"links\")\n  .selectAll(\"line\")\n  .data(links)\n  .enter().append(\"line\")\n    .attr(\"class\", \"link\")\n    .attr(\"stroke\", d => {\n        for (const [color, items] of Object.entries(highlightSpecs)) {\n            if (items.some(item => Array.isArray(item) && item[0] === d.source.id && item[1] === d.target.id)) {\n                return color;\n            }\n        }\n        return \"SteelBlue\";\n    })\n    .attr(\"stroke-width\", 2)\n    \n\nconst node = svg.append(\"g\")\n    .attr(\"class\", \"nodes\")\n  .selectAll(\"circle\")\n  .data(nodes)\n  .enter().append(\"circle\")\n    .attr(\"class\", \"node\")\n    .attr(\"r\", 3)\n    .attr(\"stroke\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .attr(\"fill\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .call(drag(simulation));\n\nnode.append(\"title\")\n    .text(d => d.id);\n\nconst nodeLabel = svg.append(\"g\")\n    .attr(\"class\", \"node-labels\")\n  .selectAll(\"text\")\n  .data(nodes)\n  .enter().append(\"text\")\n    .attr(\"class\", \"node-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier New\")\n    .attr(\"font-weight\", 100)\n    .attr(\"dy\", -10)\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.id);\n\nconst linkLabel = svg.append(\"g\")\n    .attr(\"class\", \"link-labels\")\n  .selectAll(\"text\")\n  .data(links)\n  .enter().append(\"text\")\n    .filter(d => d.label !== \"\")\n    .attr(\"class\", \"link-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier\")\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.label);\n\nsimulation.on(\"tick\", () => {\n  link\n      .attr(\"x1\", d => d.source.x)\n      .attr(\"y1\", d => d.source.y)\n      .attr(\"x2\", d => d.target.x)\n      .attr(\"y2\", d => d.target.y);\n\n  node\n      .attr(\"cx\", d => d.x)\n      .attr(\"cy\", d => d.y);\n\n  nodeLabel\n      .attr(\"x\", d => d.x)\n      .attr(\"y\", d => d.y);\n\n  linkLabel\n      .attr(\"x\", d => (d.source.x + d.target.x) / 2)\n      .attr(\"y\", d => (d.source.y + d.target.y) / 2);\n});\n\nfunction drag(simulation) {\n  function dragstarted(event, d) {\n    if (!event.active) simulation.alphaTarget(0.3).restart();\n    d.fx = d.x;\n    d.fy = d.y;\n  }\n\n  function dragged(event, d) {\n    d.fx = event.x;\n    d.fy = event.y;\n  }\n\n  function dragended(event, d) {\n    if (!event.active) simulation.alphaTarget(0);\n    d.fx = null;\n    d.fy = null;\n  }\n\n  return d3.drag()\n      .on(\"start\", dragstarted)\n      .on(\"drag\", dragged)\n      .on(\"end\", dragended);\n}\n\n}) })(element);\n\n(function(element) { require(['d3'], function(d3) {\n\n// set the dimensions and margins of the graph\nvar margin = {\"right\":40,\"left\":40,\"top\":40,\"bottom\":40},\n    width = 400 - margin.left - margin.right,\n    height = 247 - margin.top - margin.bottom;\n\n// append the svg object to the body of the page\nvar svg = d3\n   .select(element.get(0))\n  .append(\"svg\")\n    .attr(\"width\", width + margin.left + margin.right)\n    .attr(\"height\", height + margin.top + margin.bottom)\n    .style(\"background\", \"#1F1F1F\")\n  .append(\"g\")\n    .attr(\"transform\",\n          \"translate(\" + margin.left + \",\" + margin.top + \")\")\n\n// Obtain title\nvar title = \"Hypercube\"\nvar titleFontSize = 16\n\nif ( title.length > 0 ) {\n    svg.append(\"text\")\n        .attr(\"x\", (width / 2))\n        .attr(\"y\", 0 - (margin.top / 2))\n        .attr(\"text-anchor\", \"middle\")\n        .style(\"font-size\", titleFontSize.toString() + \"px\")\n        .style(\"fill\", \"Ivory\")\n        .text(title);\n}\n\nconst edges = [{\"to\":\"11\",\"label\":\"\",\"from\":\"10\",\"weight\":1},{\"label\":\"\",\"weight\":1,\"to\":\"11\",\"from\":\"01\"},{\"weight\":1,\"to\":\"10\",\"label\":\"\",\"from\":\"00\"},{\"weight\":1,\"label\":\"\",\"from\":\"00\",\"to\":\"01\"}];\n\nconst nodes = Array.from(new Set(edges.flatMap(e => [e.from, e.to])), id => ({id}));\n\nconst highlightSpecs = {};\n\nconst links = edges.map(e => ({\n  source: e.from,\n  target: e.to,\n  weight: e.weight,\n  label: e.label,\n}));\n\n//.force(\"link\", d3.forceLink(links).id(d => d.id).distance(d => Math.max(d.weight * 20, 3 * 4)))\nconst simulation = d3.forceSimulation(nodes)\n    .force(\"link\", d3.forceLink(links).id(d => d.id).iterations(1))\n    .force(\"charge\", d3.forceManyBody().strength(-200).distanceMin(1).distanceMax(2000))\n    .force(\"x\", d3.forceX())\n    .force(\"y\", d3.forceY())\n    .force(\"collision\", d3.forceCollide())\n    .force(\"center\", d3.forceCenter(width / 2, height / 2));\n\nsvg.append('defs').append('marker')\n    .attr(\"id\",'arrowhead')\n    .attr('viewBox','-0 -5 10 10') //the bound of the SVG viewport for the current SVG fragment. defines a coordinate system 10 wide and 10 high starting on (0,-5)\n     .attr('refX', 11) // x coordinate for the reference point of the marker. If circle is bigger, this need to be bigger.\n     .attr('refY',0)\n     .attr('orient','auto')\n        .attr('markerWidth', 4)\n        .attr('markerHeight', 4)\n        .attr('xoverflow','visible')\n    .append('svg:path')\n    .attr('d', 'M 0,-5 L 10 ,0 L 0,5')\n    .attr('fill', \"SteelBlue\")\n    .style('stroke','none');\n\nconst link = svg.append(\"g\")\n    .attr(\"class\", \"links\")\n  .selectAll(\"line\")\n  .data(links)\n  .enter().append(\"line\")\n    .attr(\"class\", \"link\")\n    .attr(\"stroke\", d => {\n        for (const [color, items] of Object.entries(highlightSpecs)) {\n            if (items.some(item => Array.isArray(item) && item[0] === d.source.id && item[1] === d.target.id)) {\n                return color;\n            }\n        }\n        return \"SteelBlue\";\n    })\n    .attr(\"stroke-width\", 2)\n    \n\nconst node = svg.append(\"g\")\n    .attr(\"class\", \"nodes\")\n  .selectAll(\"circle\")\n  .data(nodes)\n  .enter().append(\"circle\")\n    .attr(\"class\", \"node\")\n    .attr(\"r\", 3)\n    .attr(\"stroke\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .attr(\"fill\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .call(drag(simulation));\n\nnode.append(\"title\")\n    .text(d => d.id);\n\nconst nodeLabel = svg.append(\"g\")\n    .attr(\"class\", \"node-labels\")\n  .selectAll(\"text\")\n  .data(nodes)\n  .enter().append(\"text\")\n    .attr(\"class\", \"node-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier New\")\n    .attr(\"font-weight\", 100)\n    .attr(\"dy\", -10)\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.id);\n\nconst linkLabel = svg.append(\"g\")\n    .attr(\"class\", \"link-labels\")\n  .selectAll(\"text\")\n  .data(links)\n  .enter().append(\"text\")\n    .filter(d => d.label !== \"\")\n    .attr(\"class\", \"link-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier\")\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.label);\n\nsimulation.on(\"tick\", () => {\n  link\n      .attr(\"x1\", d => d.source.x)\n      .attr(\"y1\", d => d.source.y)\n      .attr(\"x2\", d => d.target.x)\n      .attr(\"y2\", d => d.target.y);\n\n  node\n      .attr(\"cx\", d => d.x)\n      .attr(\"cy\", d => d.y);\n\n  nodeLabel\n      .attr(\"x\", d => d.x)\n      .attr(\"y\", d => d.y);\n\n  linkLabel\n      .attr(\"x\", d => (d.source.x + d.target.x) / 2)\n      .attr(\"y\", d => (d.source.y + d.target.y) / 2);\n});\n\nfunction drag(simulation) {\n  function dragstarted(event, d) {\n    if (!event.active) simulation.alphaTarget(0.3).restart();\n    d.fx = d.x;\n    d.fy = d.y;\n  }\n\n  function dragged(event, d) {\n    d.fx = event.x;\n    d.fy = event.y;\n  }\n\n  function dragended(event, d) {\n    if (!event.active) simulation.alphaTarget(0);\n    d.fx = null;\n    d.fy = null;\n  }\n\n  return d3.drag()\n      .on(\"start\", dragstarted)\n      .on(\"drag\", dragged)\n      .on(\"end\", dragended);\n}\n\n}) })(element);\n\n(function(element) { require(['d3'], function(d3) {\n\n// set the dimensions and margins of the graph\nvar margin = {\"bottom\":40,\"left\":40,\"right\":40,\"top\":40},\n    width = 400 - margin.left - margin.right,\n    height = 247 - margin.top - margin.bottom;\n\n// append the svg object to the body of the page\nvar svg = d3\n   .select(element.get(0))\n  .append(\"svg\")\n    .attr(\"width\", width + margin.left + margin.right)\n    .attr(\"height\", height + margin.top + margin.bottom)\n    .style(\"background\", \"#1F1F1F\")\n  .append(\"g\")\n    .attr(\"transform\",\n          \"translate(\" + margin.left + \",\" + margin.top + \")\")\n\n// Obtain title\nvar title = \"KnightTour\"\nvar titleFontSize = 16\n\nif ( title.length > 0 ) {\n    svg.append(\"text\")\n        .attr(\"x\", (width / 2))\n        .attr(\"y\", 0 - (margin.top / 2))\n        .attr(\"text-anchor\", \"middle\")\n        .style(\"font-size\", titleFontSize.toString() + \"px\")\n        .style(\"fill\", \"Ivory\")\n        .text(title);\n}\n\nconst edges = [{\"weight\":1,\"to\":\"3_0\",\"from\":\"2_2\",\"label\":\"\"},{\"from\":\"1_1\",\"weight\":1,\"label\":\"\",\"to\":\"3_0\"},{\"from\":\"2_3\",\"to\":\"3_1\",\"weight\":1,\"label\":\"\"},{\"weight\":1,\"to\":\"3_1\",\"from\":\"1_2\",\"label\":\"\"},{\"from\":\"1_5\",\"label\":\"\",\"to\":\"2_3\",\"weight\":1},{\"from\":\"0_4\",\"label\":\"\",\"to\":\"2_3\",\"weight\":1},{\"label\":\"\",\"from\":\"1_1\",\"weight\":1,\"to\":\"2_3\"},{\"from\":\"2_3\",\"to\":\"3_5\",\"label\":\"\",\"weight\":1},{\"from\":\"0_2\",\"label\":\"\",\"weight\":1,\"to\":\"1_4\"},{\"label\":\"\",\"from\":\"0_2\",\"weight\":1,\"to\":\"1_0\"},{\"weight\":1,\"label\":\"\",\"from\":\"0_2\",\"to\":\"2_1\"},{\"from\":\"0_2\",\"to\":\"2_3\",\"label\":\"\",\"weight\":1},{\"to\":\"3_1\",\"from\":\"1_0\",\"weight\":1,\"label\":\"\"},{\"label\":\"\",\"weight\":1,\"from\":\"1_0\",\"to\":\"2_2\"},{\"label\":\"\",\"weight\":1,\"from\":\"1_5\",\"to\":\"3_4\"},{\"to\":\"1_5\",\"weight\":1,\"from\":\"0_3\",\"label\":\"\"},{\"from\":\"0_3\",\"weight\":1,\"label\":\"\",\"to\":\"2_2\"},{\"weight\":1,\"from\":\"0_3\",\"to\":\"1_1\",\"label\":\"\"},{\"to\":\"2_4\",\"label\":\"\",\"weight\":1,\"from\":\"0_3\"},{\"weight\":1,\"label\":\"\",\"from\":\"0_0\",\"to\":\"1_2\"},{\"weight\":1,\"label\":\"\",\"to\":\"1_2\",\"from\":\"0_4\"},{\"weight\":1,\"from\":\"1_2\",\"to\":\"3_3\",\"label\":\"\"},{\"from\":\"1_2\",\"weight\":1,\"label\":\"\",\"to\":\"2_0\"},{\"from\":\"1_2\",\"to\":\"2_4\",\"weight\":1,\"label\":\"\"},{\"label\":\"\",\"from\":\"0_1\",\"to\":\"1_3\",\"weight\":1},{\"weight\":1,\"to\":\"2_0\",\"label\":\"\",\"from\":\"0_1\"},{\"label\":\"\",\"from\":\"0_1\",\"to\":\"2_2\",\"weight\":1},{\"to\":\"3_4\",\"label\":\"\",\"weight\":1,\"from\":\"1_3\"},{\"from\":\"1_3\",\"weight\":1,\"to\":\"3_2\",\"label\":\"\"},{\"weight\":1,\"from\":\"1_3\",\"to\":\"2_5\",\"label\":\"\"},{\"label\":\"\",\"to\":\"2_1\",\"from\":\"1_3\",\"weight\":1},{\"to\":\"1_3\",\"label\":\"\",\"weight\":1,\"from\":\"0_5\"},{\"from\":\"2_5\",\"weight\":1,\"label\":\"\",\"to\":\"3_3\"},{\"to\":\"3_3\",\"weight\":1,\"label\":\"\",\"from\":\"2_1\"},{\"from\":\"1_4\",\"label\":\"\",\"to\":\"3_3\",\"weight\":1},{\"from\":\"0_0\",\"label\":\"\",\"weight\":1,\"to\":\"2_1\"},{\"from\":\"2_2\",\"label\":\"\",\"to\":\"3_4\",\"weight\":1},{\"from\":\"2_0\",\"to\":\"3_2\",\"label\":\"\",\"weight\":1},{\"from\":\"0_5\",\"label\":\"\",\"to\":\"2_4\",\"weight\":1},{\"from\":\"1_4\",\"weight\":1,\"to\":\"3_5\",\"label\":\"\"},{\"weight\":1,\"from\":\"1_4\",\"label\":\"\",\"to\":\"2_2\"},{\"from\":\"1_1\",\"to\":\"3_2\",\"label\":\"\",\"weight\":1},{\"weight\":1,\"label\":\"\",\"to\":\"3_2\",\"from\":\"2_4\"},{\"label\":\"\",\"to\":\"2_5\",\"weight\":1,\"from\":\"0_4\"}];\n\nconst nodes = Array.from(new Set(edges.flatMap(e => [e.from, e.to])), id => ({id}));\n\nconst highlightSpecs = {};\n\nconst links = edges.map(e => ({\n  source: e.from,\n  target: e.to,\n  weight: e.weight,\n  label: e.label,\n}));\n\n//.force(\"link\", d3.forceLink(links).id(d => d.id).distance(d => Math.max(d.weight * 20, 3 * 4)))\nconst simulation = d3.forceSimulation(nodes)\n    .force(\"link\", d3.forceLink(links).id(d => d.id).iterations(1))\n    .force(\"charge\", d3.forceManyBody().strength(-200).distanceMin(1).distanceMax(2000))\n    .force(\"x\", d3.forceX())\n    .force(\"y\", d3.forceY())\n    .force(\"collision\", d3.forceCollide())\n    .force(\"center\", d3.forceCenter(width / 2, height / 2));\n\nsvg.append('defs').append('marker')\n    .attr(\"id\",'arrowhead')\n    .attr('viewBox','-0 -5 10 10') //the bound of the SVG viewport for the current SVG fragment. defines a coordinate system 10 wide and 10 high starting on (0,-5)\n     .attr('refX', 11) // x coordinate for the reference point of the marker. If circle is bigger, this need to be bigger.\n     .attr('refY',0)\n     .attr('orient','auto')\n        .attr('markerWidth', 4)\n        .attr('markerHeight', 4)\n        .attr('xoverflow','visible')\n    .append('svg:path')\n    .attr('d', 'M 0,-5 L 10 ,0 L 0,5')\n    .attr('fill', \"SteelBlue\")\n    .style('stroke','none');\n\nconst link = svg.append(\"g\")\n    .attr(\"class\", \"links\")\n  .selectAll(\"line\")\n  .data(links)\n  .enter().append(\"line\")\n    .attr(\"class\", \"link\")\n    .attr(\"stroke\", d => {\n        for (const [color, items] of Object.entries(highlightSpecs)) {\n            if (items.some(item => Array.isArray(item) && item[0] === d.source.id && item[1] === d.target.id)) {\n                return color;\n            }\n        }\n        return \"SteelBlue\";\n    })\n    .attr(\"stroke-width\", 2)\n    \n\nconst node = svg.append(\"g\")\n    .attr(\"class\", \"nodes\")\n  .selectAll(\"circle\")\n  .data(nodes)\n  .enter().append(\"circle\")\n    .attr(\"class\", \"node\")\n    .attr(\"r\", 3)\n    .attr(\"stroke\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .attr(\"fill\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .call(drag(simulation));\n\nnode.append(\"title\")\n    .text(d => d.id);\n\nconst nodeLabel = svg.append(\"g\")\n    .attr(\"class\", \"node-labels\")\n  .selectAll(\"text\")\n  .data(nodes)\n  .enter().append(\"text\")\n    .attr(\"class\", \"node-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier New\")\n    .attr(\"font-weight\", 100)\n    .attr(\"dy\", -10)\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.id);\n\nconst linkLabel = svg.append(\"g\")\n    .attr(\"class\", \"link-labels\")\n  .selectAll(\"text\")\n  .data(links)\n  .enter().append(\"text\")\n    .filter(d => d.label !== \"\")\n    .attr(\"class\", \"link-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier\")\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.label);\n\nsimulation.on(\"tick\", () => {\n  link\n      .attr(\"x1\", d => d.source.x)\n      .attr(\"y1\", d => d.source.y)\n      .attr(\"x2\", d => d.target.x)\n      .attr(\"y2\", d => d.target.y);\n\n  node\n      .attr(\"cx\", d => d.x)\n      .attr(\"cy\", d => d.y);\n\n  nodeLabel\n      .attr(\"x\", d => d.x)\n      .attr(\"y\", d => d.y);\n\n  linkLabel\n      .attr(\"x\", d => (d.source.x + d.target.x) / 2)\n      .attr(\"y\", d => (d.source.y + d.target.y) / 2);\n});\n\nfunction drag(simulation) {\n  function dragstarted(event, d) {\n    if (!event.active) simulation.alphaTarget(0.3).restart();\n    d.fx = d.x;\n    d.fy = d.y;\n  }\n\n  function dragged(event, d) {\n    d.fx = event.x;\n    d.fy = event.y;\n  }\n\n  function dragended(event, d) {\n    if (!event.active) simulation.alphaTarget(0);\n    d.fx = null;\n    d.fy = null;\n  }\n\n  return d3.drag()\n      .on(\"start\", dragstarted)\n      .on(\"drag\", dragged)\n      .on(\"end\", dragended);\n}\n\n}) })(element);\n\n(function(element) { require(['d3'], function(d3) {\n\n// set the dimensions and margins of the graph\nvar margin = {\"right\":40,\"top\":40,\"left\":40,\"bottom\":40},\n    width = 400 - margin.left - margin.right,\n    height = 247 - margin.top - margin.bottom;\n\n// append the svg object to the body of the page\nvar svg = d3\n   .select(element.get(0))\n  .append(\"svg\")\n    .attr(\"width\", width + margin.left + margin.right)\n    .attr(\"height\", height + margin.top + margin.bottom)\n    .style(\"background\", \"#1F1F1F\")\n  .append(\"g\")\n    .attr(\"transform\",\n          \"translate(\" + margin.left + \",\" + margin.top + \")\")\n\n// Obtain title\nvar title = \"Path\"\nvar titleFontSize = 16\n\nif ( title.length > 0 ) {\n    svg.append(\"text\")\n        .attr(\"x\", (width / 2))\n        .attr(\"y\", 0 - (margin.top / 2))\n        .attr(\"text-anchor\", \"middle\")\n        .style(\"font-size\", titleFontSize.toString() + \"px\")\n        .style(\"fill\", \"Ivory\")\n        .text(title);\n}\n\nconst edges = [{\"weight\":1,\"from\":\"a\",\"to\":\"b\",\"label\":\"\"},{\"from\":\"d\",\"weight\":1,\"label\":\"\",\"to\":\"e\"},{\"from\":\"f\",\"weight\":1,\"to\":\"g\",\"label\":\"\"},{\"to\":\"f\",\"weight\":1,\"from\":\"e\",\"label\":\"\"},{\"weight\":1,\"to\":\"d\",\"from\":\"c\",\"label\":\"\"},{\"label\":\"\",\"from\":\"b\",\"weight\":1,\"to\":\"c\"}];\n\nconst nodes = Array.from(new Set(edges.flatMap(e => [e.from, e.to])), id => ({id}));\n\nconst highlightSpecs = {};\n\nconst links = edges.map(e => ({\n  source: e.from,\n  target: e.to,\n  weight: e.weight,\n  label: e.label,\n}));\n\n//.force(\"link\", d3.forceLink(links).id(d => d.id).distance(d => Math.max(d.weight * 20, 3 * 4)))\nconst simulation = d3.forceSimulation(nodes)\n    .force(\"link\", d3.forceLink(links).id(d => d.id).iterations(1))\n    .force(\"charge\", d3.forceManyBody().strength(-200).distanceMin(1).distanceMax(2000))\n    .force(\"x\", d3.forceX())\n    .force(\"y\", d3.forceY())\n    .force(\"collision\", d3.forceCollide())\n    .force(\"center\", d3.forceCenter(width / 2, height / 2));\n\nsvg.append('defs').append('marker')\n    .attr(\"id\",'arrowhead')\n    .attr('viewBox','-0 -5 10 10') //the bound of the SVG viewport for the current SVG fragment. defines a coordinate system 10 wide and 10 high starting on (0,-5)\n     .attr('refX', 11) // x coordinate for the reference point of the marker. If circle is bigger, this need to be bigger.\n     .attr('refY',0)\n     .attr('orient','auto')\n        .attr('markerWidth', 4)\n        .attr('markerHeight', 4)\n        .attr('xoverflow','visible')\n    .append('svg:path')\n    .attr('d', 'M 0,-5 L 10 ,0 L 0,5')\n    .attr('fill', \"SteelBlue\")\n    .style('stroke','none');\n\nconst link = svg.append(\"g\")\n    .attr(\"class\", \"links\")\n  .selectAll(\"line\")\n  .data(links)\n  .enter().append(\"line\")\n    .attr(\"class\", \"link\")\n    .attr(\"stroke\", d => {\n        for (const [color, items] of Object.entries(highlightSpecs)) {\n            if (items.some(item => Array.isArray(item) && item[0] === d.source.id && item[1] === d.target.id)) {\n                return color;\n            }\n        }\n        return \"SteelBlue\";\n    })\n    .attr(\"stroke-width\", 2)\n    .attr('marker-end','url(#arrowhead)')\n\nconst node = svg.append(\"g\")\n    .attr(\"class\", \"nodes\")\n  .selectAll(\"circle\")\n  .data(nodes)\n  .enter().append(\"circle\")\n    .attr(\"class\", \"node\")\n    .attr(\"r\", 3)\n    .attr(\"stroke\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .attr(\"fill\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .call(drag(simulation));\n\nnode.append(\"title\")\n    .text(d => d.id);\n\nconst nodeLabel = svg.append(\"g\")\n    .attr(\"class\", \"node-labels\")\n  .selectAll(\"text\")\n  .data(nodes)\n  .enter().append(\"text\")\n    .attr(\"class\", \"node-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier New\")\n    .attr(\"font-weight\", 100)\n    .attr(\"dy\", -10)\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.id);\n\nconst linkLabel = svg.append(\"g\")\n    .attr(\"class\", \"link-labels\")\n  .selectAll(\"text\")\n  .data(links)\n  .enter().append(\"text\")\n    .filter(d => d.label !== \"\")\n    .attr(\"class\", \"link-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier\")\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.label);\n\nsimulation.on(\"tick\", () => {\n  link\n      .attr(\"x1\", d => d.source.x)\n      .attr(\"y1\", d => d.source.y)\n      .attr(\"x2\", d => d.target.x)\n      .attr(\"y2\", d => d.target.y);\n\n  node\n      .attr(\"cx\", d => d.x)\n      .attr(\"cy\", d => d.y);\n\n  nodeLabel\n      .attr(\"x\", d => d.x)\n      .attr(\"y\", d => d.y);\n\n  linkLabel\n      .attr(\"x\", d => (d.source.x + d.target.x) / 2)\n      .attr(\"y\", d => (d.source.y + d.target.y) / 2);\n});\n\nfunction drag(simulation) {\n  function dragstarted(event, d) {\n    if (!event.active) simulation.alphaTarget(0.3).restart();\n    d.fx = d.x;\n    d.fy = d.y;\n  }\n\n  function dragged(event, d) {\n    d.fx = event.x;\n    d.fy = event.y;\n  }\n\n  function dragended(event, d) {\n    if (!event.active) simulation.alphaTarget(0);\n    d.fx = null;\n    d.fy = null;\n  }\n\n  return d3.drag()\n      .on(\"start\", dragstarted)\n      .on(\"drag\", dragged)\n      .on(\"end\", dragended);\n}\n\n}) })(element);\n\n(function(element) { require(['d3'], function(d3) {\n\n// set the dimensions and margins of the graph\nvar margin = {\"bottom\":40,\"right\":40,\"top\":40,\"left\":40},\n    width = 400 - margin.left - margin.right,\n    height = 247 - margin.top - margin.bottom;\n\n// append the svg object to the body of the page\nvar svg = d3\n   .select(element.get(0))\n  .append(\"svg\")\n    .attr(\"width\", width + margin.left + margin.right)\n    .attr(\"height\", height + margin.top + margin.bottom)\n    .style(\"background\", \"#1F1F1F\")\n  .append(\"g\")\n    .attr(\"transform\",\n          \"translate(\" + margin.left + \",\" + margin.top + \")\")\n\n// Obtain title\nvar title = \"Petersen\"\nvar titleFontSize = 16\n\nif ( title.length > 0 ) {\n    svg.append(\"text\")\n        .attr(\"x\", (width / 2))\n        .attr(\"y\", 0 - (margin.top / 2))\n        .attr(\"text-anchor\", \"middle\")\n        .style(\"font-size\", titleFontSize.toString() + \"px\")\n        .style(\"fill\", \"Ivory\")\n        .text(title);\n}\n\nconst edges = [{\"to\":\"3\",\"weight\":1,\"from\":\"1\",\"label\":\"\"},{\"to\":\"8\",\"from\":\"3\",\"label\":\"\",\"weight\":1},{\"label\":\"\",\"weight\":1,\"to\":\"3\",\"from\":\"0\"},{\"to\":\"6\",\"from\":\"5\",\"weight\":1,\"label\":\"\"},{\"from\":\"0\",\"label\":\"\",\"to\":\"5\",\"weight\":1},{\"label\":\"\",\"from\":\"5\",\"weight\":1,\"to\":\"9\"},{\"label\":\"\",\"to\":\"4\",\"from\":\"1\",\"weight\":1},{\"to\":\"6\",\"weight\":1,\"label\":\"\",\"from\":\"1\"},{\"label\":\"\",\"weight\":1,\"from\":\"7\",\"to\":\"8\"},{\"from\":\"2\",\"weight\":1,\"to\":\"7\",\"label\":\"\"},{\"to\":\"7\",\"from\":\"6\",\"label\":\"\",\"weight\":1},{\"from\":\"0\",\"weight\":1,\"label\":\"\",\"to\":\"2\"},{\"label\":\"\",\"from\":\"4\",\"to\":\"9\",\"weight\":1},{\"weight\":1,\"from\":\"2\",\"label\":\"\",\"to\":\"4\"},{\"weight\":1,\"to\":\"9\",\"label\":\"\",\"from\":\"8\"}];\n\nconst nodes = Array.from(new Set(edges.flatMap(e => [e.from, e.to])), id => ({id}));\n\nconst highlightSpecs = {};\n\nconst links = edges.map(e => ({\n  source: e.from,\n  target: e.to,\n  weight: e.weight,\n  label: e.label,\n}));\n\n//.force(\"link\", d3.forceLink(links).id(d => d.id).distance(d => Math.max(d.weight * 20, 3 * 4)))\nconst simulation = d3.forceSimulation(nodes)\n    .force(\"link\", d3.forceLink(links).id(d => d.id).iterations(1))\n    .force(\"charge\", d3.forceManyBody().strength(-200).distanceMin(1).distanceMax(2000))\n    .force(\"x\", d3.forceX())\n    .force(\"y\", d3.forceY())\n    .force(\"collision\", d3.forceCollide())\n    .force(\"center\", d3.forceCenter(width / 2, height / 2));\n\nsvg.append('defs').append('marker')\n    .attr(\"id\",'arrowhead')\n    .attr('viewBox','-0 -5 10 10') //the bound of the SVG viewport for the current SVG fragment. defines a coordinate system 10 wide and 10 high starting on (0,-5)\n     .attr('refX', 11) // x coordinate for the reference point of the marker. If circle is bigger, this need to be bigger.\n     .attr('refY',0)\n     .attr('orient','auto')\n        .attr('markerWidth', 4)\n        .attr('markerHeight', 4)\n        .attr('xoverflow','visible')\n    .append('svg:path')\n    .attr('d', 'M 0,-5 L 10 ,0 L 0,5')\n    .attr('fill', \"SteelBlue\")\n    .style('stroke','none');\n\nconst link = svg.append(\"g\")\n    .attr(\"class\", \"links\")\n  .selectAll(\"line\")\n  .data(links)\n  .enter().append(\"line\")\n    .attr(\"class\", \"link\")\n    .attr(\"stroke\", d => {\n        for (const [color, items] of Object.entries(highlightSpecs)) {\n            if (items.some(item => Array.isArray(item) && item[0] === d.source.id && item[1] === d.target.id)) {\n                return color;\n            }\n        }\n        return \"SteelBlue\";\n    })\n    .attr(\"stroke-width\", 2)\n    \n\nconst node = svg.append(\"g\")\n    .attr(\"class\", \"nodes\")\n  .selectAll(\"circle\")\n  .data(nodes)\n  .enter().append(\"circle\")\n    .attr(\"class\", \"node\")\n    .attr(\"r\", 3)\n    .attr(\"stroke\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .attr(\"fill\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .call(drag(simulation));\n\nnode.append(\"title\")\n    .text(d => d.id);\n\nconst nodeLabel = svg.append(\"g\")\n    .attr(\"class\", \"node-labels\")\n  .selectAll(\"text\")\n  .data(nodes)\n  .enter().append(\"text\")\n    .attr(\"class\", \"node-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier New\")\n    .attr(\"font-weight\", 100)\n    .attr(\"dy\", -10)\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.id);\n\nconst linkLabel = svg.append(\"g\")\n    .attr(\"class\", \"link-labels\")\n  .selectAll(\"text\")\n  .data(links)\n  .enter().append(\"text\")\n    .filter(d => d.label !== \"\")\n    .attr(\"class\", \"link-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier\")\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.label);\n\nsimulation.on(\"tick\", () => {\n  link\n      .attr(\"x1\", d => d.source.x)\n      .attr(\"y1\", d => d.source.y)\n      .attr(\"x2\", d => d.target.x)\n      .attr(\"y2\", d => d.target.y);\n\n  node\n      .attr(\"cx\", d => d.x)\n      .attr(\"cy\", d => d.y);\n\n  nodeLabel\n      .attr(\"x\", d => d.x)\n      .attr(\"y\", d => d.y);\n\n  linkLabel\n      .attr(\"x\", d => (d.source.x + d.target.x) / 2)\n      .attr(\"y\", d => (d.source.y + d.target.y) / 2);\n});\n\nfunction drag(simulation) {\n  function dragstarted(event, d) {\n    if (!event.active) simulation.alphaTarget(0.3).restart();\n    d.fx = d.x;\n    d.fy = d.y;\n  }\n\n  function dragged(event, d) {\n    d.fx = event.x;\n    d.fy = event.y;\n  }\n\n  function dragended(event, d) {\n    if (!event.active) simulation.alphaTarget(0);\n    d.fx = null;\n    d.fy = null;\n  }\n\n  return d3.drag()\n      .on(\"start\", dragstarted)\n      .on(\"drag\", dragged)\n      .on(\"end\", dragended);\n}\n\n}) })(element);\n\n(function(element) { require(['d3'], function(d3) {\n\n// set the dimensions and margins of the graph\nvar margin = {\"top\":40,\"bottom\":40,\"right\":40,\"left\":40},\n    width = 400 - margin.left - margin.right,\n    height = 247 - margin.top - margin.bottom;\n\n// append the svg object to the body of the page\nvar svg = d3\n   .select(element.get(0))\n  .append(\"svg\")\n    .attr(\"width\", width + margin.left + margin.right)\n    .attr(\"height\", height + margin.top + margin.bottom)\n    .style(\"background\", \"#1F1F1F\")\n  .append(\"g\")\n    .attr(\"transform\",\n          \"translate(\" + margin.left + \",\" + margin.top + \")\")\n\n// Obtain title\nvar title = \"Price's model\"\nvar titleFontSize = 16\n\nif ( title.length > 0 ) {\n    svg.append(\"text\")\n        .attr(\"x\", (width / 2))\n        .attr(\"y\", 0 - (margin.top / 2))\n        .attr(\"text-anchor\", \"middle\")\n        .style(\"font-size\", titleFontSize.toString() + \"px\")\n        .style(\"fill\", \"Ivory\")\n        .text(title);\n}\n\nconst edges = [{\"from\":\"11\",\"weight\":1,\"label\":\"\",\"to\":\"0\"},{\"label\":\"\",\"to\":\"0\",\"weight\":1,\"from\":\"10\"},{\"from\":\"14\",\"label\":\"\",\"weight\":1,\"to\":\"13\"},{\"to\":\"0\",\"label\":\"\",\"from\":\"14\",\"weight\":1},{\"weight\":1,\"from\":\"6\",\"to\":\"0\",\"label\":\"\"},{\"weight\":1,\"from\":\"6\",\"to\":\"4\",\"label\":\"\"},{\"to\":\"0\",\"from\":\"4\",\"weight\":1,\"label\":\"\"},{\"label\":\"\",\"weight\":1,\"from\":\"8\",\"to\":\"0\"},{\"label\":\"\",\"from\":\"8\",\"to\":\"7\",\"weight\":1},{\"weight\":1,\"label\":\"\",\"from\":\"12\",\"to\":\"4\"},{\"label\":\"\",\"to\":\"0\",\"weight\":1,\"from\":\"12\"},{\"to\":\"0\",\"label\":\"\",\"from\":\"2\",\"weight\":1},{\"label\":\"\",\"from\":\"7\",\"weight\":1,\"to\":\"6\"},{\"from\":\"7\",\"to\":\"0\",\"label\":\"\",\"weight\":1},{\"to\":\"0\",\"weight\":1,\"label\":\"\",\"from\":\"13\"},{\"to\":\"3\",\"label\":\"\",\"weight\":1,\"from\":\"13\"},{\"to\":\"0\",\"weight\":1,\"label\":\"\",\"from\":\"5\"},{\"weight\":1,\"to\":\"0\",\"label\":\"\",\"from\":\"9\"},{\"weight\":1,\"to\":\"0\",\"label\":\"\",\"from\":\"3\"}];\n\nconst nodes = Array.from(new Set(edges.flatMap(e => [e.from, e.to])), id => ({id}));\n\nconst highlightSpecs = {};\n\nconst links = edges.map(e => ({\n  source: e.from,\n  target: e.to,\n  weight: e.weight,\n  label: e.label,\n}));\n\n//.force(\"link\", d3.forceLink(links).id(d => d.id).distance(d => Math.max(d.weight * 20, 3 * 4)))\nconst simulation = d3.forceSimulation(nodes)\n    .force(\"link\", d3.forceLink(links).id(d => d.id).iterations(1))\n    .force(\"charge\", d3.forceManyBody().strength(-200).distanceMin(1).distanceMax(2000))\n    .force(\"x\", d3.forceX())\n    .force(\"y\", d3.forceY())\n    .force(\"collision\", d3.forceCollide())\n    .force(\"center\", d3.forceCenter(width / 2, height / 2));\n\nsvg.append('defs').append('marker')\n    .attr(\"id\",'arrowhead')\n    .attr('viewBox','-0 -5 10 10') //the bound of the SVG viewport for the current SVG fragment. defines a coordinate system 10 wide and 10 high starting on (0,-5)\n     .attr('refX', 11) // x coordinate for the reference point of the marker. If circle is bigger, this need to be bigger.\n     .attr('refY',0)\n     .attr('orient','auto')\n        .attr('markerWidth', 4)\n        .attr('markerHeight', 4)\n        .attr('xoverflow','visible')\n    .append('svg:path')\n    .attr('d', 'M 0,-5 L 10 ,0 L 0,5')\n    .attr('fill', \"SteelBlue\")\n    .style('stroke','none');\n\nconst link = svg.append(\"g\")\n    .attr(\"class\", \"links\")\n  .selectAll(\"line\")\n  .data(links)\n  .enter().append(\"line\")\n    .attr(\"class\", \"link\")\n    .attr(\"stroke\", d => {\n        for (const [color, items] of Object.entries(highlightSpecs)) {\n            if (items.some(item => Array.isArray(item) && item[0] === d.source.id && item[1] === d.target.id)) {\n                return color;\n            }\n        }\n        return \"SteelBlue\";\n    })\n    .attr(\"stroke-width\", 2)\n    .attr('marker-end','url(#arrowhead)')\n\nconst node = svg.append(\"g\")\n    .attr(\"class\", \"nodes\")\n  .selectAll(\"circle\")\n  .data(nodes)\n  .enter().append(\"circle\")\n    .attr(\"class\", \"node\")\n    .attr(\"r\", 3)\n    .attr(\"stroke\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .attr(\"fill\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .call(drag(simulation));\n\nnode.append(\"title\")\n    .text(d => d.id);\n\nconst nodeLabel = svg.append(\"g\")\n    .attr(\"class\", \"node-labels\")\n  .selectAll(\"text\")\n  .data(nodes)\n  .enter().append(\"text\")\n    .attr(\"class\", \"node-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier New\")\n    .attr(\"font-weight\", 100)\n    .attr(\"dy\", -10)\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.id);\n\nconst linkLabel = svg.append(\"g\")\n    .attr(\"class\", \"link-labels\")\n  .selectAll(\"text\")\n  .data(links)\n  .enter().append(\"text\")\n    .filter(d => d.label !== \"\")\n    .attr(\"class\", \"link-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier\")\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.label);\n\nsimulation.on(\"tick\", () => {\n  link\n      .attr(\"x1\", d => d.source.x)\n      .attr(\"y1\", d => d.source.y)\n      .attr(\"x2\", d => d.target.x)\n      .attr(\"y2\", d => d.target.y);\n\n  node\n      .attr(\"cx\", d => d.x)\n      .attr(\"cy\", d => d.y);\n\n  nodeLabel\n      .attr(\"x\", d => d.x)\n      .attr(\"y\", d => d.y);\n\n  linkLabel\n      .attr(\"x\", d => (d.source.x + d.target.x) / 2)\n      .attr(\"y\", d => (d.source.y + d.target.y) / 2);\n});\n\nfunction drag(simulation) {\n  function dragstarted(event, d) {\n    if (!event.active) simulation.alphaTarget(0.3).restart();\n    d.fx = d.x;\n    d.fy = d.y;\n  }\n\n  function dragged(event, d) {\n    d.fx = event.x;\n    d.fy = event.y;\n  }\n\n  function dragended(event, d) {\n    if (!event.active) simulation.alphaTarget(0);\n    d.fx = null;\n    d.fy = null;\n  }\n\n  return d3.drag()\n      .on(\"start\", dragstarted)\n      .on(\"drag\", dragged)\n      .on(\"end\", dragended);\n}\n\n}) })(element);\n\n(function(element) { require(['d3'], function(d3) {\n\n// set the dimensions and margins of the graph\nvar margin = {\"top\":40,\"bottom\":40,\"left\":40,\"right\":40},\n    width = 400 - margin.left - margin.right,\n    height = 247 - margin.top - margin.bottom;\n\n// append the svg object to the body of the page\nvar svg = d3\n   .select(element.get(0))\n  .append(\"svg\")\n    .attr(\"width\", width + margin.left + margin.right)\n    .attr(\"height\", height + margin.top + margin.bottom)\n    .style(\"background\", \"#1F1F1F\")\n  .append(\"g\")\n    .attr(\"transform\",\n          \"translate(\" + margin.left + \",\" + margin.top + \")\")\n\n// Obtain title\nvar title = \"Random\"\nvar titleFontSize = 16\n\nif ( title.length > 0 ) {\n    svg.append(\"text\")\n        .attr(\"x\", (width / 2))\n        .attr(\"y\", 0 - (margin.top / 2))\n        .attr(\"text-anchor\", \"middle\")\n        .style(\"font-size\", titleFontSize.toString() + \"px\")\n        .style(\"fill\", \"Ivory\")\n        .text(title);\n}\n\nconst edges = [{\"to\":\"8\",\"label\":\"\",\"from\":\"3\",\"weight\":1},{\"from\":\"3\",\"label\":\"\",\"to\":\"4\",\"weight\":1},{\"weight\":1,\"from\":\"3\",\"to\":\"7\",\"label\":\"\"},{\"weight\":1,\"from\":\"1\",\"label\":\"\",\"to\":\"3\"},{\"weight\":1,\"label\":\"\",\"from\":\"7\",\"to\":\"9\"},{\"to\":\"6\",\"weight\":1,\"from\":\"10\",\"label\":\"\"},{\"weight\":1,\"to\":\"8\",\"label\":\"\",\"from\":\"6\"},{\"to\":\"8\",\"weight\":1,\"label\":\"\",\"from\":\"2\"},{\"label\":\"\",\"from\":\"2\",\"weight\":1,\"to\":\"9\"},{\"from\":\"10\",\"label\":\"\",\"to\":\"9\",\"weight\":1},{\"to\":\"9\",\"from\":\"8\",\"label\":\"\",\"weight\":1}];\n\nconst nodes = Array.from(new Set(edges.flatMap(e => [e.from, e.to])), id => ({id}));\n\nconst highlightSpecs = {};\n\nconst links = edges.map(e => ({\n  source: e.from,\n  target: e.to,\n  weight: e.weight,\n  label: e.label,\n}));\n\n//.force(\"link\", d3.forceLink(links).id(d => d.id).distance(d => Math.max(d.weight * 20, 3 * 4)))\nconst simulation = d3.forceSimulation(nodes)\n    .force(\"link\", d3.forceLink(links).id(d => d.id).iterations(1))\n    .force(\"charge\", d3.forceManyBody().strength(-200).distanceMin(1).distanceMax(2000))\n    .force(\"x\", d3.forceX())\n    .force(\"y\", d3.forceY())\n    .force(\"collision\", d3.forceCollide())\n    .force(\"center\", d3.forceCenter(width / 2, height / 2));\n\nsvg.append('defs').append('marker')\n    .attr(\"id\",'arrowhead')\n    .attr('viewBox','-0 -5 10 10') //the bound of the SVG viewport for the current SVG fragment. defines a coordinate system 10 wide and 10 high starting on (0,-5)\n     .attr('refX', 11) // x coordinate for the reference point of the marker. If circle is bigger, this need to be bigger.\n     .attr('refY',0)\n     .attr('orient','auto')\n        .attr('markerWidth', 4)\n        .attr('markerHeight', 4)\n        .attr('xoverflow','visible')\n    .append('svg:path')\n    .attr('d', 'M 0,-5 L 10 ,0 L 0,5')\n    .attr('fill', \"SteelBlue\")\n    .style('stroke','none');\n\nconst link = svg.append(\"g\")\n    .attr(\"class\", \"links\")\n  .selectAll(\"line\")\n  .data(links)\n  .enter().append(\"line\")\n    .attr(\"class\", \"link\")\n    .attr(\"stroke\", d => {\n        for (const [color, items] of Object.entries(highlightSpecs)) {\n            if (items.some(item => Array.isArray(item) && item[0] === d.source.id && item[1] === d.target.id)) {\n                return color;\n            }\n        }\n        return \"SteelBlue\";\n    })\n    .attr(\"stroke-width\", 2)\n    \n\nconst node = svg.append(\"g\")\n    .attr(\"class\", \"nodes\")\n  .selectAll(\"circle\")\n  .data(nodes)\n  .enter().append(\"circle\")\n    .attr(\"class\", \"node\")\n    .attr(\"r\", 3)\n    .attr(\"stroke\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .attr(\"fill\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .call(drag(simulation));\n\nnode.append(\"title\")\n    .text(d => d.id);\n\nconst nodeLabel = svg.append(\"g\")\n    .attr(\"class\", \"node-labels\")\n  .selectAll(\"text\")\n  .data(nodes)\n  .enter().append(\"text\")\n    .attr(\"class\", \"node-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier New\")\n    .attr(\"font-weight\", 100)\n    .attr(\"dy\", -10)\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.id);\n\nconst linkLabel = svg.append(\"g\")\n    .attr(\"class\", \"link-labels\")\n  .selectAll(\"text\")\n  .data(links)\n  .enter().append(\"text\")\n    .filter(d => d.label !== \"\")\n    .attr(\"class\", \"link-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier\")\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.label);\n\nsimulation.on(\"tick\", () => {\n  link\n      .attr(\"x1\", d => d.source.x)\n      .attr(\"y1\", d => d.source.y)\n      .attr(\"x2\", d => d.target.x)\n      .attr(\"y2\", d => d.target.y);\n\n  node\n      .attr(\"cx\", d => d.x)\n      .attr(\"cy\", d => d.y);\n\n  nodeLabel\n      .attr(\"x\", d => d.x)\n      .attr(\"y\", d => d.y);\n\n  linkLabel\n      .attr(\"x\", d => (d.source.x + d.target.x) / 2)\n      .attr(\"y\", d => (d.source.y + d.target.y) / 2);\n});\n\nfunction drag(simulation) {\n  function dragstarted(event, d) {\n    if (!event.active) simulation.alphaTarget(0.3).restart();\n    d.fx = d.x;\n    d.fy = d.y;\n  }\n\n  function dragged(event, d) {\n    d.fx = event.x;\n    d.fy = event.y;\n  }\n\n  function dragended(event, d) {\n    if (!event.active) simulation.alphaTarget(0);\n    d.fx = null;\n    d.fy = null;\n  }\n\n  return d3.drag()\n      .on(\"start\", dragstarted)\n      .on(\"drag\", dragged)\n      .on(\"end\", dragended);\n}\n\n}) })(element);\n\n(function(element) { require(['d3'], function(d3) {\n\n// set the dimensions and margins of the graph\nvar margin = {\"left\":40,\"bottom\":40,\"right\":40,\"top\":40},\n    width = 400 - margin.left - margin.right,\n    height = 247 - margin.top - margin.bottom;\n\n// append the svg object to the body of the page\nvar svg = d3\n   .select(element.get(0))\n  .append(\"svg\")\n    .attr(\"width\", width + margin.left + margin.right)\n    .attr(\"height\", height + margin.top + margin.bottom)\n    .style(\"background\", \"#1F1F1F\")\n  .append(\"g\")\n    .attr(\"transform\",\n          \"translate(\" + margin.left + \",\" + margin.top + \")\")\n\n// Obtain title\nvar title = \"Spatial\"\nvar titleFontSize = 16\n\nif ( title.length > 0 ) {\n    svg.append(\"text\")\n        .attr(\"x\", (width / 2))\n        .attr(\"y\", 0 - (margin.top / 2))\n        .attr(\"text-anchor\", \"middle\")\n        .style(\"font-size\", titleFontSize.toString() + \"px\")\n        .style(\"fill\", \"Ivory\")\n        .text(title);\n}\n\nconst edges = [{\"from\":\"10\",\"weight\":1,\"to\":\"3\",\"label\":\"\"},{\"from\":\"10\",\"to\":\"5\",\"label\":\"\",\"weight\":1},{\"weight\":1,\"label\":\"\",\"from\":\"10\",\"to\":\"11\"},{\"from\":\"10\",\"label\":\"\",\"weight\":1,\"to\":\"14\"},{\"to\":\"10\",\"from\":\"0\",\"weight\":1,\"label\":\"\"},{\"from\":\"11\",\"weight\":1,\"to\":\"3\",\"label\":\"\"},{\"from\":\"11\",\"to\":\"14\",\"label\":\"\",\"weight\":1},{\"from\":\"0\",\"to\":\"11\",\"weight\":1,\"label\":\"\"},{\"to\":\"5\",\"weight\":1,\"from\":\"11\",\"label\":\"\"},{\"label\":\"\",\"to\":\"13\",\"weight\":1,\"from\":\"12\"},{\"weight\":1,\"from\":\"13\",\"to\":\"2\",\"label\":\"\"},{\"from\":\"13\",\"to\":\"8\",\"weight\":1,\"label\":\"\"},{\"label\":\"\",\"from\":\"13\",\"to\":\"7\",\"weight\":1},{\"weight\":1,\"to\":\"9\",\"from\":\"13\",\"label\":\"\"},{\"to\":\"4\",\"from\":\"13\",\"label\":\"\",\"weight\":1},{\"label\":\"\",\"from\":\"4\",\"weight\":1,\"to\":\"9\"},{\"from\":\"4\",\"weight\":1,\"to\":\"7\",\"label\":\"\"},{\"to\":\"8\",\"label\":\"\",\"weight\":1,\"from\":\"4\"},{\"to\":\"4\",\"weight\":1,\"label\":\"\",\"from\":\"0\"},{\"to\":\"6\",\"label\":\"\",\"weight\":1,\"from\":\"4\"},{\"weight\":1,\"label\":\"\",\"to\":\"4\",\"from\":\"12\"},{\"to\":\"4\",\"weight\":1,\"from\":\"1\",\"label\":\"\"},{\"to\":\"4\",\"from\":\"2\",\"weight\":1,\"label\":\"\"},{\"to\":\"9\",\"label\":\"\",\"from\":\"2\",\"weight\":1},{\"from\":\"7\",\"weight\":1,\"to\":\"9\",\"label\":\"\"},{\"from\":\"8\",\"to\":\"9\",\"label\":\"\",\"weight\":1},{\"to\":\"9\",\"weight\":1,\"from\":\"0\",\"label\":\"\"},{\"to\":\"9\",\"from\":\"12\",\"weight\":1,\"label\":\"\"},{\"weight\":1,\"label\":\"\",\"from\":\"3\",\"to\":\"9\"},{\"label\":\"\",\"to\":\"5\",\"from\":\"3\",\"weight\":1},{\"weight\":1,\"from\":\"0\",\"to\":\"3\",\"label\":\"\"},{\"from\":\"3\",\"weight\":1,\"label\":\"\",\"to\":\"7\"},{\"to\":\"8\",\"weight\":1,\"from\":\"3\",\"label\":\"\"},{\"from\":\"12\",\"to\":\"3\",\"label\":\"\",\"weight\":1},{\"from\":\"2\",\"to\":\"6\",\"weight\":1,\"label\":\"\"},{\"label\":\"\",\"weight\":1,\"to\":\"8\",\"from\":\"2\"},{\"weight\":1,\"label\":\"\",\"from\":\"2\",\"to\":\"7\"},{\"to\":\"2\",\"weight\":1,\"label\":\"\",\"from\":\"1\"},{\"from\":\"12\",\"label\":\"\",\"to\":\"2\",\"weight\":1},{\"to\":\"6\",\"from\":\"1\",\"weight\":1,\"label\":\"\"},{\"from\":\"0\",\"weight\":1,\"label\":\"\",\"to\":\"5\"},{\"weight\":1,\"label\":\"\",\"to\":\"5\",\"from\":\"14\"},{\"label\":\"\",\"weight\":1,\"to\":\"14\",\"from\":\"1\"},{\"weight\":1,\"label\":\"\",\"to\":\"8\",\"from\":\"1\"},{\"to\":\"12\",\"label\":\"\",\"from\":\"0\",\"weight\":1},{\"weight\":1,\"from\":\"0\",\"to\":\"8\",\"label\":\"\"},{\"weight\":1,\"to\":\"7\",\"from\":\"0\",\"label\":\"\"},{\"to\":\"14\",\"weight\":1,\"label\":\"\",\"from\":\"0\"},{\"label\":\"\",\"to\":\"8\",\"weight\":1,\"from\":\"7\"},{\"to\":\"7\",\"weight\":1,\"label\":\"\",\"from\":\"12\"},{\"weight\":1,\"to\":\"7\",\"label\":\"\",\"from\":\"14\"},{\"weight\":1,\"to\":\"8\",\"label\":\"\",\"from\":\"14\"},{\"from\":\"12\",\"to\":\"8\",\"label\":\"\",\"weight\":1}];\n\nconst nodes = Array.from(new Set(edges.flatMap(e => [e.from, e.to])), id => ({id}));\n\nconst highlightSpecs = {};\n\nconst links = edges.map(e => ({\n  source: e.from,\n  target: e.to,\n  weight: e.weight,\n  label: e.label,\n}));\n\n//.force(\"link\", d3.forceLink(links).id(d => d.id).distance(d => Math.max(d.weight * 20, 3 * 4)))\nconst simulation = d3.forceSimulation(nodes)\n    .force(\"link\", d3.forceLink(links).id(d => d.id).iterations(1))\n    .force(\"charge\", d3.forceManyBody().strength(-200).distanceMin(1).distanceMax(2000))\n    .force(\"x\", d3.forceX())\n    .force(\"y\", d3.forceY())\n    .force(\"collision\", d3.forceCollide())\n    .force(\"center\", d3.forceCenter(width / 2, height / 2));\n\nsvg.append('defs').append('marker')\n    .attr(\"id\",'arrowhead')\n    .attr('viewBox','-0 -5 10 10') //the bound of the SVG viewport for the current SVG fragment. defines a coordinate system 10 wide and 10 high starting on (0,-5)\n     .attr('refX', 11) // x coordinate for the reference point of the marker. If circle is bigger, this need to be bigger.\n     .attr('refY',0)\n     .attr('orient','auto')\n        .attr('markerWidth', 4)\n        .attr('markerHeight', 4)\n        .attr('xoverflow','visible')\n    .append('svg:path')\n    .attr('d', 'M 0,-5 L 10 ,0 L 0,5')\n    .attr('fill', \"SteelBlue\")\n    .style('stroke','none');\n\nconst link = svg.append(\"g\")\n    .attr(\"class\", \"links\")\n  .selectAll(\"line\")\n  .data(links)\n  .enter().append(\"line\")\n    .attr(\"class\", \"link\")\n    .attr(\"stroke\", d => {\n        for (const [color, items] of Object.entries(highlightSpecs)) {\n            if (items.some(item => Array.isArray(item) && item[0] === d.source.id && item[1] === d.target.id)) {\n                return color;\n            }\n        }\n        return \"SteelBlue\";\n    })\n    .attr(\"stroke-width\", 2)\n    \n\nconst node = svg.append(\"g\")\n    .attr(\"class\", \"nodes\")\n  .selectAll(\"circle\")\n  .data(nodes)\n  .enter().append(\"circle\")\n    .attr(\"class\", \"node\")\n    .attr(\"r\", 3)\n    .attr(\"stroke\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .attr(\"fill\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .call(drag(simulation));\n\nnode.append(\"title\")\n    .text(d => d.id);\n\nconst nodeLabel = svg.append(\"g\")\n    .attr(\"class\", \"node-labels\")\n  .selectAll(\"text\")\n  .data(nodes)\n  .enter().append(\"text\")\n    .attr(\"class\", \"node-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier New\")\n    .attr(\"font-weight\", 100)\n    .attr(\"dy\", -10)\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.id);\n\nconst linkLabel = svg.append(\"g\")\n    .attr(\"class\", \"link-labels\")\n  .selectAll(\"text\")\n  .data(links)\n  .enter().append(\"text\")\n    .filter(d => d.label !== \"\")\n    .attr(\"class\", \"link-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier\")\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.label);\n\nsimulation.on(\"tick\", () => {\n  link\n      .attr(\"x1\", d => d.source.x)\n      .attr(\"y1\", d => d.source.y)\n      .attr(\"x2\", d => d.target.x)\n      .attr(\"y2\", d => d.target.y);\n\n  node\n      .attr(\"cx\", d => d.x)\n      .attr(\"cy\", d => d.y);\n\n  nodeLabel\n      .attr(\"x\", d => d.x)\n      .attr(\"y\", d => d.y);\n\n  linkLabel\n      .attr(\"x\", d => (d.source.x + d.target.x) / 2)\n      .attr(\"y\", d => (d.source.y + d.target.y) / 2);\n});\n\nfunction drag(simulation) {\n  function dragstarted(event, d) {\n    if (!event.active) simulation.alphaTarget(0.3).restart();\n    d.fx = d.x;\n    d.fy = d.y;\n  }\n\n  function dragged(event, d) {\n    d.fx = event.x;\n    d.fy = event.y;\n  }\n\n  function dragended(event, d) {\n    if (!event.active) simulation.alphaTarget(0);\n    d.fx = null;\n    d.fy = null;\n  }\n\n  return d3.drag()\n      .on(\"start\", dragstarted)\n      .on(\"drag\", dragged)\n      .on(\"end\", dragended);\n}\n\n}) })(element);\n\n(function(element) { require(['d3'], function(d3) {\n\n// set the dimensions and margins of the graph\nvar margin = {\"top\":40,\"right\":40,\"bottom\":40,\"left\":40},\n    width = 400 - margin.left - margin.right,\n    height = 247 - margin.top - margin.bottom;\n\n// append the svg object to the body of the page\nvar svg = d3\n   .select(element.get(0))\n  .append(\"svg\")\n    .attr(\"width\", width + margin.left + margin.right)\n    .attr(\"height\", height + margin.top + margin.bottom)\n    .style(\"background\", \"#1F1F1F\")\n  .append(\"g\")\n    .attr(\"transform\",\n          \"translate(\" + margin.left + \",\" + margin.top + \")\")\n\n// Obtain title\nvar title = \"Star\"\nvar titleFontSize = 16\n\nif ( title.length > 0 ) {\n    svg.append(\"text\")\n        .attr(\"x\", (width / 2))\n        .attr(\"y\", 0 - (margin.top / 2))\n        .attr(\"text-anchor\", \"middle\")\n        .style(\"font-size\", titleFontSize.toString() + \"px\")\n        .style(\"fill\", \"Ivory\")\n        .text(title);\n}\n\nconst edges = [{\"label\":\"\",\"from\":\"0\",\"weight\":1,\"to\":\"5\"},{\"label\":\"\",\"to\":\"1\",\"weight\":1,\"from\":\"0\"},{\"to\":\"2\",\"label\":\"\",\"from\":\"0\",\"weight\":1},{\"from\":\"0\",\"to\":\"3\",\"label\":\"\",\"weight\":1},{\"weight\":1,\"from\":\"0\",\"label\":\"\",\"to\":\"4\"}];\n\nconst nodes = Array.from(new Set(edges.flatMap(e => [e.from, e.to])), id => ({id}));\n\nconst highlightSpecs = {};\n\nconst links = edges.map(e => ({\n  source: e.from,\n  target: e.to,\n  weight: e.weight,\n  label: e.label,\n}));\n\n//.force(\"link\", d3.forceLink(links).id(d => d.id).distance(d => Math.max(d.weight * 20, 3 * 4)))\nconst simulation = d3.forceSimulation(nodes)\n    .force(\"link\", d3.forceLink(links).id(d => d.id).iterations(1))\n    .force(\"charge\", d3.forceManyBody().strength(-200).distanceMin(1).distanceMax(2000))\n    .force(\"x\", d3.forceX())\n    .force(\"y\", d3.forceY())\n    .force(\"collision\", d3.forceCollide())\n    .force(\"center\", d3.forceCenter(width / 2, height / 2));\n\nsvg.append('defs').append('marker')\n    .attr(\"id\",'arrowhead')\n    .attr('viewBox','-0 -5 10 10') //the bound of the SVG viewport for the current SVG fragment. defines a coordinate system 10 wide and 10 high starting on (0,-5)\n     .attr('refX', 11) // x coordinate for the reference point of the marker. If circle is bigger, this need to be bigger.\n     .attr('refY',0)\n     .attr('orient','auto')\n        .attr('markerWidth', 4)\n        .attr('markerHeight', 4)\n        .attr('xoverflow','visible')\n    .append('svg:path')\n    .attr('d', 'M 0,-5 L 10 ,0 L 0,5')\n    .attr('fill', \"SteelBlue\")\n    .style('stroke','none');\n\nconst link = svg.append(\"g\")\n    .attr(\"class\", \"links\")\n  .selectAll(\"line\")\n  .data(links)\n  .enter().append(\"line\")\n    .attr(\"class\", \"link\")\n    .attr(\"stroke\", d => {\n        for (const [color, items] of Object.entries(highlightSpecs)) {\n            if (items.some(item => Array.isArray(item) && item[0] === d.source.id && item[1] === d.target.id)) {\n                return color;\n            }\n        }\n        return \"SteelBlue\";\n    })\n    .attr(\"stroke-width\", 2)\n    \n\nconst node = svg.append(\"g\")\n    .attr(\"class\", \"nodes\")\n  .selectAll(\"circle\")\n  .data(nodes)\n  .enter().append(\"circle\")\n    .attr(\"class\", \"node\")\n    .attr(\"r\", 3)\n    .attr(\"stroke\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .attr(\"fill\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .call(drag(simulation));\n\nnode.append(\"title\")\n    .text(d => d.id);\n\nconst nodeLabel = svg.append(\"g\")\n    .attr(\"class\", \"node-labels\")\n  .selectAll(\"text\")\n  .data(nodes)\n  .enter().append(\"text\")\n    .attr(\"class\", \"node-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier New\")\n    .attr(\"font-weight\", 100)\n    .attr(\"dy\", -10)\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.id);\n\nconst linkLabel = svg.append(\"g\")\n    .attr(\"class\", \"link-labels\")\n  .selectAll(\"text\")\n  .data(links)\n  .enter().append(\"text\")\n    .filter(d => d.label !== \"\")\n    .attr(\"class\", \"link-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier\")\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.label);\n\nsimulation.on(\"tick\", () => {\n  link\n      .attr(\"x1\", d => d.source.x)\n      .attr(\"y1\", d => d.source.y)\n      .attr(\"x2\", d => d.target.x)\n      .attr(\"y2\", d => d.target.y);\n\n  node\n      .attr(\"cx\", d => d.x)\n      .attr(\"cy\", d => d.y);\n\n  nodeLabel\n      .attr(\"x\", d => d.x)\n      .attr(\"y\", d => d.y);\n\n  linkLabel\n      .attr(\"x\", d => (d.source.x + d.target.x) / 2)\n      .attr(\"y\", d => (d.source.y + d.target.y) / 2);\n});\n\nfunction drag(simulation) {\n  function dragstarted(event, d) {\n    if (!event.active) simulation.alphaTarget(0.3).restart();\n    d.fx = d.x;\n    d.fy = d.y;\n  }\n\n  function dragged(event, d) {\n    d.fx = event.x;\n    d.fy = event.y;\n  }\n\n  function dragended(event, d) {\n    if (!event.active) simulation.alphaTarget(0);\n    d.fx = null;\n    d.fy = null;\n  }\n\n  return d3.drag()\n      .on(\"start\", dragstarted)\n      .on(\"drag\", dragged)\n      .on(\"end\", dragended);\n}\n\n}) })(element);\n\n(function(element) { require(['d3'], function(d3) {\n\n// set the dimensions and margins of the graph\nvar margin = {\"right\":40,\"top\":40,\"left\":40,\"bottom\":40},\n    width = 400 - margin.left - margin.right,\n    height = 247 - margin.top - margin.bottom;\n\n// append the svg object to the body of the page\nvar svg = d3\n   .select(element.get(0))\n  .append(\"svg\")\n    .attr(\"width\", width + margin.left + margin.right)\n    .attr(\"height\", height + margin.top + margin.bottom)\n    .style(\"background\", \"#1F1F1F\")\n  .append(\"g\")\n    .attr(\"transform\",\n          \"translate(\" + margin.left + \",\" + margin.top + \")\")\n\n// Obtain title\nvar title = \"Watts-Strogatz\"\nvar titleFontSize = 16\n\nif ( title.length > 0 ) {\n    svg.append(\"text\")\n        .attr(\"x\", (width / 2))\n        .attr(\"y\", 0 - (margin.top / 2))\n        .attr(\"text-anchor\", \"middle\")\n        .style(\"font-size\", titleFontSize.toString() + \"px\")\n        .style(\"fill\", \"Ivory\")\n        .text(title);\n}\n\nconst edges = [{\"to\":\"3\",\"from\":\"1\",\"label\":\"\",\"weight\":1},{\"from\":\"0\",\"label\":\"\",\"weight\":1,\"to\":\"1\"},{\"label\":\"\",\"to\":\"13\",\"from\":\"1\",\"weight\":1},{\"label\":\"\",\"weight\":1,\"to\":\"19\",\"from\":\"1\"},{\"label\":\"\",\"weight\":1,\"from\":\"1\",\"to\":\"2\"},{\"label\":\"\",\"to\":\"19\",\"weight\":1,\"from\":\"17\"},{\"to\":\"18\",\"from\":\"17\",\"label\":\"\",\"weight\":1},{\"from\":\"16\",\"label\":\"\",\"weight\":1,\"to\":\"17\"},{\"from\":\"14\",\"to\":\"17\",\"weight\":1,\"label\":\"\"},{\"label\":\"\",\"to\":\"17\",\"weight\":1,\"from\":\"15\"},{\"from\":\"8\",\"weight\":1,\"label\":\"\",\"to\":\"9\"},{\"from\":\"10\",\"weight\":1,\"to\":\"8\",\"label\":\"\"},{\"to\":\"8\",\"label\":\"\",\"from\":\"7\",\"weight\":1},{\"weight\":1,\"from\":\"6\",\"label\":\"\",\"to\":\"8\"},{\"weight\":1,\"label\":\"\",\"from\":\"4\",\"to\":\"5\"},{\"to\":\"4\",\"label\":\"\",\"weight\":1,\"from\":\"2\"},{\"to\":\"4\",\"from\":\"3\",\"weight\":1,\"label\":\"\"},{\"to\":\"6\",\"label\":\"\",\"weight\":1,\"from\":\"4\"},{\"label\":\"\",\"from\":\"14\",\"weight\":1,\"to\":\"16\"},{\"to\":\"16\",\"weight\":1,\"label\":\"\",\"from\":\"15\"},{\"to\":\"18\",\"from\":\"16\",\"label\":\"\",\"weight\":1},{\"from\":\"5\",\"label\":\"\",\"weight\":1,\"to\":\"6\"},{\"from\":\"6\",\"label\":\"\",\"to\":\"7\",\"weight\":1},{\"weight\":1,\"label\":\"\",\"to\":\"9\",\"from\":\"10\"},{\"from\":\"11\",\"weight\":1,\"label\":\"\",\"to\":\"9\"},{\"from\":\"7\",\"weight\":1,\"label\":\"\",\"to\":\"9\"},{\"to\":\"15\",\"label\":\"\",\"from\":\"14\",\"weight\":1},{\"label\":\"\",\"weight\":1,\"to\":\"14\",\"from\":\"12\"},{\"to\":\"14\",\"from\":\"13\",\"weight\":1,\"label\":\"\"},{\"from\":\"0\",\"label\":\"\",\"weight\":1,\"to\":\"18\"},{\"to\":\"19\",\"label\":\"\",\"from\":\"18\",\"weight\":1},{\"from\":\"12\",\"label\":\"\",\"weight\":1,\"to\":\"13\"},{\"label\":\"\",\"from\":\"13\",\"weight\":1,\"to\":\"19\"},{\"from\":\"11\",\"to\":\"13\",\"weight\":1,\"label\":\"\"},{\"weight\":1,\"from\":\"13\",\"label\":\"\",\"to\":\"15\"},{\"weight\":1,\"to\":\"3\",\"label\":\"\",\"from\":\"2\"},{\"label\":\"\",\"to\":\"2\",\"weight\":1,\"from\":\"0\"},{\"from\":\"3\",\"weight\":1,\"to\":\"5\",\"label\":\"\"},{\"from\":\"0\",\"weight\":1,\"to\":\"19\",\"label\":\"\"},{\"from\":\"5\",\"weight\":1,\"to\":\"7\",\"label\":\"\"},{\"label\":\"\",\"from\":\"11\",\"weight\":1,\"to\":\"12\"},{\"to\":\"11\",\"weight\":1,\"label\":\"\",\"from\":\"0\"},{\"label\":\"\",\"from\":\"10\",\"weight\":1,\"to\":\"11\"},{\"weight\":1,\"label\":\"\",\"to\":\"12\",\"from\":\"10\"}];\n\nconst nodes = Array.from(new Set(edges.flatMap(e => [e.from, e.to])), id => ({id}));\n\nconst highlightSpecs = {};\n\nconst links = edges.map(e => ({\n  source: e.from,\n  target: e.to,\n  weight: e.weight,\n  label: e.label,\n}));\n\n//.force(\"link\", d3.forceLink(links).id(d => d.id).distance(d => Math.max(d.weight * 20, 3 * 4)))\nconst simulation = d3.forceSimulation(nodes)\n    .force(\"link\", d3.forceLink(links).id(d => d.id).iterations(1))\n    .force(\"charge\", d3.forceManyBody().strength(-200).distanceMin(1).distanceMax(2000))\n    .force(\"x\", d3.forceX())\n    .force(\"y\", d3.forceY())\n    .force(\"collision\", d3.forceCollide())\n    .force(\"center\", d3.forceCenter(width / 2, height / 2));\n\nsvg.append('defs').append('marker')\n    .attr(\"id\",'arrowhead')\n    .attr('viewBox','-0 -5 10 10') //the bound of the SVG viewport for the current SVG fragment. defines a coordinate system 10 wide and 10 high starting on (0,-5)\n     .attr('refX', 11) // x coordinate for the reference point of the marker. If circle is bigger, this need to be bigger.\n     .attr('refY',0)\n     .attr('orient','auto')\n        .attr('markerWidth', 4)\n        .attr('markerHeight', 4)\n        .attr('xoverflow','visible')\n    .append('svg:path')\n    .attr('d', 'M 0,-5 L 10 ,0 L 0,5')\n    .attr('fill', \"SteelBlue\")\n    .style('stroke','none');\n\nconst link = svg.append(\"g\")\n    .attr(\"class\", \"links\")\n  .selectAll(\"line\")\n  .data(links)\n  .enter().append(\"line\")\n    .attr(\"class\", \"link\")\n    .attr(\"stroke\", d => {\n        for (const [color, items] of Object.entries(highlightSpecs)) {\n            if (items.some(item => Array.isArray(item) && item[0] === d.source.id && item[1] === d.target.id)) {\n                return color;\n            }\n        }\n        return \"SteelBlue\";\n    })\n    .attr(\"stroke-width\", 2)\n    \n\nconst node = svg.append(\"g\")\n    .attr(\"class\", \"nodes\")\n  .selectAll(\"circle\")\n  .data(nodes)\n  .enter().append(\"circle\")\n    .attr(\"class\", \"node\")\n    .attr(\"r\", 3)\n    .attr(\"stroke\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .attr(\"fill\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .call(drag(simulation));\n\nnode.append(\"title\")\n    .text(d => d.id);\n\nconst nodeLabel = svg.append(\"g\")\n    .attr(\"class\", \"node-labels\")\n  .selectAll(\"text\")\n  .data(nodes)\n  .enter().append(\"text\")\n    .attr(\"class\", \"node-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier New\")\n    .attr(\"font-weight\", 100)\n    .attr(\"dy\", -10)\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.id);\n\nconst linkLabel = svg.append(\"g\")\n    .attr(\"class\", \"link-labels\")\n  .selectAll(\"text\")\n  .data(links)\n  .enter().append(\"text\")\n    .filter(d => d.label !== \"\")\n    .attr(\"class\", \"link-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier\")\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.label);\n\nsimulation.on(\"tick\", () => {\n  link\n      .attr(\"x1\", d => d.source.x)\n      .attr(\"y1\", d => d.source.y)\n      .attr(\"x2\", d => d.target.x)\n      .attr(\"y2\", d => d.target.y);\n\n  node\n      .attr(\"cx\", d => d.x)\n      .attr(\"cy\", d => d.y);\n\n  nodeLabel\n      .attr(\"x\", d => d.x)\n      .attr(\"y\", d => d.y);\n\n  linkLabel\n      .attr(\"x\", d => (d.source.x + d.target.x) / 2)\n      .attr(\"y\", d => (d.source.y + d.target.y) / 2);\n});\n\nfunction drag(simulation) {\n  function dragstarted(event, d) {\n    if (!event.active) simulation.alphaTarget(0.3).restart();\n    d.fx = d.x;\n    d.fy = d.y;\n  }\n\n  function dragged(event, d) {\n    d.fx = event.x;\n    d.fy = event.y;\n  }\n\n  function dragended(event, d) {\n    if (!event.active) simulation.alphaTarget(0);\n    d.fx = null;\n    d.fy = null;\n  }\n\n  return d3.drag()\n      .on(\"start\", dragstarted)\n      .on(\"drag\", dragged)\n      .on(\"end\", dragended);\n}\n\n}) })(element);\n\n(function(element) { require(['d3'], function(d3) {\n\n// set the dimensions and margins of the graph\nvar margin = {\"bottom\":40,\"left\":40,\"top\":40,\"right\":40},\n    width = 400 - margin.left - margin.right,\n    height = 247 - margin.top - margin.bottom;\n\n// append the svg object to the body of the page\nvar svg = d3\n   .select(element.get(0))\n  .append(\"svg\")\n    .attr(\"width\", width + margin.left + margin.right)\n    .attr(\"height\", height + margin.top + margin.bottom)\n    .style(\"background\", \"#1F1F1F\")\n  .append(\"g\")\n    .attr(\"transform\",\n          \"translate(\" + margin.left + \",\" + margin.top + \")\")\n\n// Obtain title\nvar title = \"Wheel\"\nvar titleFontSize = 16\n\nif ( title.length > 0 ) {\n    svg.append(\"text\")\n        .attr(\"x\", (width / 2))\n        .attr(\"y\", 0 - (margin.top / 2))\n        .attr(\"text-anchor\", \"middle\")\n        .style(\"font-size\", titleFontSize.toString() + \"px\")\n        .style(\"fill\", \"Ivory\")\n        .text(title);\n}\n\nconst edges = [{\"weight\":1,\"label\":\"\",\"to\":\"4\",\"from\":\"0\"},{\"to\":\"3\",\"from\":\"0\",\"weight\":1,\"label\":\"\"},{\"weight\":1,\"label\":\"\",\"from\":\"0\",\"to\":\"2\"},{\"from\":\"0\",\"to\":\"6\",\"label\":\"\",\"weight\":1},{\"weight\":1,\"to\":\"5\",\"label\":\"\",\"from\":\"0\"},{\"to\":\"1\",\"label\":\"\",\"weight\":1,\"from\":\"0\"},{\"to\":\"7\",\"weight\":1,\"from\":\"0\",\"label\":\"\"},{\"weight\":1,\"label\":\"\",\"from\":\"6\",\"to\":\"7\"},{\"from\":\"4\",\"label\":\"\",\"to\":\"5\",\"weight\":1},{\"to\":\"2\",\"weight\":1,\"from\":\"1\",\"label\":\"\"},{\"weight\":1,\"label\":\"\",\"to\":\"4\",\"from\":\"3\"},{\"label\":\"\",\"to\":\"6\",\"from\":\"5\",\"weight\":1},{\"from\":\"2\",\"to\":\"3\",\"label\":\"\",\"weight\":1},{\"to\":\"1\",\"weight\":1,\"label\":\"\",\"from\":\"7\"}];\n\nconst nodes = Array.from(new Set(edges.flatMap(e => [e.from, e.to])), id => ({id}));\n\nconst highlightSpecs = {};\n\nconst links = edges.map(e => ({\n  source: e.from,\n  target: e.to,\n  weight: e.weight,\n  label: e.label,\n}));\n\n//.force(\"link\", d3.forceLink(links).id(d => d.id).distance(d => Math.max(d.weight * 20, 3 * 4)))\nconst simulation = d3.forceSimulation(nodes)\n    .force(\"link\", d3.forceLink(links).id(d => d.id).iterations(1))\n    .force(\"charge\", d3.forceManyBody().strength(-200).distanceMin(1).distanceMax(2000))\n    .force(\"x\", d3.forceX())\n    .force(\"y\", d3.forceY())\n    .force(\"collision\", d3.forceCollide())\n    .force(\"center\", d3.forceCenter(width / 2, height / 2));\n\nsvg.append('defs').append('marker')\n    .attr(\"id\",'arrowhead')\n    .attr('viewBox','-0 -5 10 10') //the bound of the SVG viewport for the current SVG fragment. defines a coordinate system 10 wide and 10 high starting on (0,-5)\n     .attr('refX', 11) // x coordinate for the reference point of the marker. If circle is bigger, this need to be bigger.\n     .attr('refY',0)\n     .attr('orient','auto')\n        .attr('markerWidth', 4)\n        .attr('markerHeight', 4)\n        .attr('xoverflow','visible')\n    .append('svg:path')\n    .attr('d', 'M 0,-5 L 10 ,0 L 0,5')\n    .attr('fill', \"SteelBlue\")\n    .style('stroke','none');\n\nconst link = svg.append(\"g\")\n    .attr(\"class\", \"links\")\n  .selectAll(\"line\")\n  .data(links)\n  .enter().append(\"line\")\n    .attr(\"class\", \"link\")\n    .attr(\"stroke\", d => {\n        for (const [color, items] of Object.entries(highlightSpecs)) {\n            if (items.some(item => Array.isArray(item) && item[0] === d.source.id && item[1] === d.target.id)) {\n                return color;\n            }\n        }\n        return \"SteelBlue\";\n    })\n    .attr(\"stroke-width\", 2)\n    .attr('marker-end','url(#arrowhead)')\n\nconst node = svg.append(\"g\")\n    .attr(\"class\", \"nodes\")\n  .selectAll(\"circle\")\n  .data(nodes)\n  .enter().append(\"circle\")\n    .attr(\"class\", \"node\")\n    .attr(\"r\", 3)\n    .attr(\"stroke\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .attr(\"fill\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .call(drag(simulation));\n\nnode.append(\"title\")\n    .text(d => d.id);\n\nconst nodeLabel = svg.append(\"g\")\n    .attr(\"class\", \"node-labels\")\n  .selectAll(\"text\")\n  .data(nodes)\n  .enter().append(\"text\")\n    .attr(\"class\", \"node-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier New\")\n    .attr(\"font-weight\", 100)\n    .attr(\"dy\", -10)\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.id);\n\nconst linkLabel = svg.append(\"g\")\n    .attr(\"class\", \"link-labels\")\n  .selectAll(\"text\")\n  .data(links)\n  .enter().append(\"text\")\n    .filter(d => d.label !== \"\")\n    .attr(\"class\", \"link-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier\")\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.label);\n\nsimulation.on(\"tick\", () => {\n  link\n      .attr(\"x1\", d => d.source.x)\n      .attr(\"y1\", d => d.source.y)\n      .attr(\"x2\", d => d.target.x)\n      .attr(\"y2\", d => d.target.y);\n\n  node\n      .attr(\"cx\", d => d.x)\n      .attr(\"cy\", d => d.y);\n\n  nodeLabel\n      .attr(\"x\", d => d.x)\n      .attr(\"y\", d => d.y);\n\n  linkLabel\n      .attr(\"x\", d => (d.source.x + d.target.x) / 2)\n      .attr(\"y\", d => (d.source.y + d.target.y) / 2);\n});\n\nfunction drag(simulation) {\n  function dragstarted(event, d) {\n    if (!event.active) simulation.alphaTarget(0.3).restart();\n    d.fx = d.x;\n    d.fy = d.y;\n  }\n\n  function dragged(event, d) {\n    d.fx = event.x;\n    d.fy = event.y;\n  }\n\n  function dragended(event, d) {\n    if (!event.active) simulation.alphaTarget(0);\n    d.fx = null;\n    d.fy = null;\n  }\n\n  return d3.drag()\n      .on(\"start\", dragstarted)\n      .on(\"drag\", dragged)\n      .on(\"end\", dragended);\n}\n\n}) })(element);\n"
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#%js\n",
    "%namedGraphs.pairs.sort(*.key).map({ \n",
    "    js-d3-graph-plot(\n",
    "        $_.value.edges(:dataset),\n",
    "        title => $_.key,\n",
    "        :$background, \n",
    "        :$title-color, \n",
    "        width => 400, \n",
    "        edge-thickness => 2,\n",
    "        vertex-size => 3,\n",
    "        directed => $_.value.directed,\n",
    "        force => {charge => {strength => -200}, link => {minDistance => 40}}\n",
    "    )\n",
    " }).join(\"\\n\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "------\n",
    "\n",
    "## Circulant graph"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": "(function(element) { require(['d3'], function(d3) {\n\n// set the dimensions and margins of the graph\nvar margin = {\"right\":40,\"bottom\":40,\"top\":40,\"left\":40},\n    width = 400 - margin.left - margin.right,\n    height = 247 - margin.top - margin.bottom;\n\n// append the svg object to the body of the page\nvar svg = d3\n   .select(element.get(0))\n  .append(\"svg\")\n    .attr(\"width\", width + margin.left + margin.right)\n    .attr(\"height\", height + margin.top + margin.bottom)\n    .style(\"background\", \"#1F1F1F\")\n  .append(\"g\")\n    .attr(\"transform\",\n          \"translate(\" + margin.left + \",\" + margin.top + \")\")\n\n// Obtain title\nvar title = \"\"\nvar titleFontSize = 16\n\nif ( title.length > 0 ) {\n    svg.append(\"text\")\n        .attr(\"x\", (width / 2))\n        .attr(\"y\", 0 - (margin.top / 2))\n        .attr(\"text-anchor\", \"middle\")\n        .style(\"font-size\", titleFontSize.toString() + \"px\")\n        .style(\"fill\", \"Ivory\")\n        .text(title);\n}\n\nconst edges = [{\"from\":\"1\",\"to\":\"3\",\"label\":\"\",\"weight\":1},{\"to\":\"3\",\"label\":\"\",\"from\":\"0\",\"weight\":1},{\"from\":\"2\",\"label\":\"\",\"to\":\"4\",\"weight\":1},{\"to\":\"2\",\"from\":\"0\",\"label\":\"\",\"weight\":1},{\"from\":\"1\",\"to\":\"4\",\"weight\":1,\"label\":\"\"}];\n\nconst nodes = Array.from(new Set(edges.flatMap(e => [e.from, e.to])), id => ({id}));\n\nconst highlightSpecs = {};\n\nconst links = edges.map(e => ({\n  source: e.from,\n  target: e.to,\n  weight: e.weight,\n  label: e.label,\n}));\n\n//.force(\"link\", d3.forceLink(links).id(d => d.id).distance(d => Math.max(d.weight * 20, 6 * 4)))\nconst simulation = d3.forceSimulation(nodes)\n    .force(\"link\", d3.forceLink(links).id(d => d.id).distance(180).iterations(1))\n    .force(\"charge\", d3.forceManyBody().distanceMin(1).distanceMax(2000))\n    .force(\"x\", d3.forceX())\n    .force(\"y\", d3.forceY())\n    .force(\"collision\", d3.forceCollide().radius(10))\n    .force(\"center\", d3.forceCenter(width / 2, height / 2));\n\nsvg.append('defs').append('marker')\n    .attr(\"id\",'arrowhead')\n    .attr('viewBox','-0 -5 10 10') //the bound of the SVG viewport for the current SVG fragment. defines a coordinate system 10 wide and 10 high starting on (0,-5)\n     .attr('refX', 16) // x coordinate for the reference point of the marker. If circle is bigger, this need to be bigger.\n     .attr('refY',0)\n     .attr('orient','auto')\n        .attr('markerWidth', 5)\n        .attr('markerHeight', 5)\n        .attr('xoverflow','visible')\n    .append('svg:path')\n    .attr('d', 'M 0,-5 L 10 ,0 L 0,5')\n    .attr('fill', \"SteelBlue\")\n    .style('stroke','none');\n\nconst link = svg.append(\"g\")\n    .attr(\"class\", \"links\")\n  .selectAll(\"line\")\n  .data(links)\n  .enter().append(\"line\")\n    .attr(\"class\", \"link\")\n    .attr(\"stroke\", d => {\n        for (const [color, items] of Object.entries(highlightSpecs)) {\n            if (items.some(item => Array.isArray(item) && item[0] === d.source.id && item[1] === d.target.id)) {\n                return color;\n            }\n        }\n        return \"SteelBlue\";\n    })\n    .attr(\"stroke-width\", 3)\n    \n\nconst node = svg.append(\"g\")\n    .attr(\"class\", \"nodes\")\n  .selectAll(\"circle\")\n  .data(nodes)\n  .enter().append(\"circle\")\n    .attr(\"class\", \"node\")\n    .attr(\"r\", 6)\n    .attr(\"stroke\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .attr(\"fill\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .call(drag(simulation));\n\nnode.append(\"title\")\n    .text(d => d.id);\n\nconst nodeLabel = svg.append(\"g\")\n    .attr(\"class\", \"node-labels\")\n  .selectAll(\"text\")\n  .data(nodes)\n  .enter().append(\"text\")\n    .attr(\"class\", \"node-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier New\")\n    .attr(\"font-weight\", 100)\n    .attr(\"dy\", -10)\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.id);\n\nconst linkLabel = svg.append(\"g\")\n    .attr(\"class\", \"link-labels\")\n  .selectAll(\"text\")\n  .data(links)\n  .enter().append(\"text\")\n    .filter(d => d.label !== \"\")\n    .attr(\"class\", \"link-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier\")\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.label);\n\nsimulation.on(\"tick\", () => {\n  link\n      .attr(\"x1\", d => d.source.x)\n      .attr(\"y1\", d => d.source.y)\n      .attr(\"x2\", d => d.target.x)\n      .attr(\"y2\", d => d.target.y);\n\n  node\n      .attr(\"cx\", d => d.x)\n      .attr(\"cy\", d => d.y);\n\n  nodeLabel\n      .attr(\"x\", d => d.x)\n      .attr(\"y\", d => d.y);\n\n  linkLabel\n      .attr(\"x\", d => (d.source.x + d.target.x) / 2)\n      .attr(\"y\", d => (d.source.y + d.target.y) / 2);\n});\n\nfunction drag(simulation) {\n  function dragstarted(event, d) {\n    if (!event.active) simulation.alphaTarget(0.3).restart();\n    d.fx = d.x;\n    d.fy = d.y;\n  }\n\n  function dragged(event, d) {\n    d.fx = event.x;\n    d.fy = event.y;\n  }\n\n  function dragended(event, d) {\n    if (!event.active) simulation.alphaTarget(0);\n    d.fx = null;\n    d.fy = null;\n  }\n\n  return d3.drag()\n      .on(\"start\", dragstarted)\n      .on(\"drag\", dragged)\n      .on(\"end\", dragended);\n}\n\n}) })(element);\n"
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#%js\n",
    "my $g = Graph::Circulant.new(5, 2);\n",
    "\n",
    "#%js\n",
    "$g.edges(:dataset) \n",
    "==> js-d3-graph-plot(\n",
    "        :$background, \n",
    "        :$title-color, \n",
    "        width => 400, \n",
    "        :$edge-thickness,\n",
    "        :$vertex-size,\n",
    "        :%force\n",
    "    )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "<!-- Generated by graphviz version 11.0.0 (20240428.1522)\n",
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       "<!-- 2&#45;&#45;4 -->\n",
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       "</g>\n",
       "</g>\n",
       "</svg>\n"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#% html\n",
    "$g.dot(:$background, engine => 'sfdp'):svg"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "------\n",
    "\n",
    "## Complete graph"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": "(function(element) { require(['d3'], function(d3) {\n\n// set the dimensions and margins of the graph\nvar margin = {\"bottom\":40,\"top\":40,\"right\":40,\"left\":40},\n    width = 700 - margin.left - margin.right,\n    height = 433 - margin.top - margin.bottom;\n\n// append the svg object to the body of the page\nvar svg = d3\n   .select(element.get(0))\n  .append(\"svg\")\n    .attr(\"width\", width + margin.left + margin.right)\n    .attr(\"height\", height + margin.top + margin.bottom)\n    .style(\"background\", \"#1F1F1F\")\n  .append(\"g\")\n    .attr(\"transform\",\n          \"translate(\" + margin.left + \",\" + margin.top + \")\")\n\n// Obtain title\nvar title = \"\"\nvar titleFontSize = 16\n\nif ( title.length > 0 ) {\n    svg.append(\"text\")\n        .attr(\"x\", (width / 2))\n        .attr(\"y\", 0 - (margin.top / 2))\n        .attr(\"text-anchor\", \"middle\")\n        .style(\"font-size\", titleFontSize.toString() + \"px\")\n        .style(\"fill\", \"Ivory\")\n        .text(title);\n}\n\nconst edges = [{\"label\":\"\",\"to\":\"node:5\",\"weight\":1,\"from\":\"node:3\"},{\"from\":\"node:2\",\"to\":\"node:3\",\"label\":\"\",\"weight\":1},{\"label\":\"\",\"weight\":1,\"to\":\"node:4\",\"from\":\"node:3\"},{\"to\":\"node:3\",\"label\":\"\",\"weight\":1,\"from\":\"node:1\"},{\"from\":\"node:1\",\"weight\":1,\"label\":\"\",\"to\":\"node:4\"},{\"label\":\"\",\"to\":\"node:4\",\"weight\":1,\"from\":\"node:2\"},{\"weight\":1,\"label\":\"\",\"to\":\"node:5\",\"from\":\"node:4\"},{\"to\":\"node:5\",\"from\":\"node:2\",\"weight\":1,\"label\":\"\"},{\"label\":\"\",\"from\":\"node:1\",\"to\":\"node:5\",\"weight\":1},{\"label\":\"\",\"weight\":1,\"from\":\"node:1\",\"to\":\"node:2\"}];\n\nconst nodes = Array.from(new Set(edges.flatMap(e => [e.from, e.to])), id => ({id}));\n\nconst highlightSpecs = {};\n\nconst links = edges.map(e => ({\n  source: e.from,\n  target: e.to,\n  weight: e.weight,\n  label: e.label,\n}));\n\n//.force(\"link\", d3.forceLink(links).id(d => d.id).distance(d => Math.max(d.weight * 20, 6 * 4)))\nconst simulation = d3.forceSimulation(nodes)\n    .force(\"link\", d3.forceLink(links).id(d => d.id).distance(310).iterations(1))\n    .force(\"charge\", d3.forceManyBody().strength(-1800).distanceMin(1).distanceMax(2000))\n    .force(\"x\", d3.forceX())\n    .force(\"y\", d3.forceY())\n    .force(\"collision\", d3.forceCollide().radius(40))\n    .force(\"center\", d3.forceCenter(width / 2, height / 2));\n\nsvg.append('defs').append('marker')\n    .attr(\"id\",'arrowhead')\n    .attr('viewBox','-0 -5 10 10') //the bound of the SVG viewport for the current SVG fragment. defines a coordinate system 10 wide and 10 high starting on (0,-5)\n     .attr('refX', 16) // x coordinate for the reference point of the marker. If circle is bigger, this need to be bigger.\n     .attr('refY',0)\n     .attr('orient','auto')\n        .attr('markerWidth', 5)\n        .attr('markerHeight', 5)\n        .attr('xoverflow','visible')\n    .append('svg:path')\n    .attr('d', 'M 0,-5 L 10 ,0 L 0,5')\n    .attr('fill', \"SteelBlue\")\n    .style('stroke','none');\n\nconst link = svg.append(\"g\")\n    .attr(\"class\", \"links\")\n  .selectAll(\"line\")\n  .data(links)\n  .enter().append(\"line\")\n    .attr(\"class\", \"link\")\n    .attr(\"stroke\", d => {\n        for (const [color, items] of Object.entries(highlightSpecs)) {\n            if (items.some(item => Array.isArray(item) && item[0] === d.source.id && item[1] === d.target.id)) {\n                return color;\n            }\n        }\n        return \"SteelBlue\";\n    })\n    .attr(\"stroke-width\", 3)\n    \n\nconst node = svg.append(\"g\")\n    .attr(\"class\", \"nodes\")\n  .selectAll(\"circle\")\n  .data(nodes)\n  .enter().append(\"circle\")\n    .attr(\"class\", \"node\")\n    .attr(\"r\", 6)\n    .attr(\"stroke\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .attr(\"fill\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .call(drag(simulation));\n\nnode.append(\"title\")\n    .text(d => d.id);\n\nconst nodeLabel = svg.append(\"g\")\n    .attr(\"class\", \"node-labels\")\n  .selectAll(\"text\")\n  .data(nodes)\n  .enter().append(\"text\")\n    .attr(\"class\", \"node-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier New\")\n    .attr(\"font-weight\", 100)\n    .attr(\"dy\", -10)\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.id);\n\nconst linkLabel = svg.append(\"g\")\n    .attr(\"class\", \"link-labels\")\n  .selectAll(\"text\")\n  .data(links)\n  .enter().append(\"text\")\n    .filter(d => d.label !== \"\")\n    .attr(\"class\", \"link-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier\")\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.label);\n\nsimulation.on(\"tick\", () => {\n  link\n      .attr(\"x1\", d => d.source.x)\n      .attr(\"y1\", d => d.source.y)\n      .attr(\"x2\", d => d.target.x)\n      .attr(\"y2\", d => d.target.y);\n\n  node\n      .attr(\"cx\", d => d.x)\n      .attr(\"cy\", d => d.y);\n\n  nodeLabel\n      .attr(\"x\", d => d.x)\n      .attr(\"y\", d => d.y);\n\n  linkLabel\n      .attr(\"x\", d => (d.source.x + d.target.x) / 2)\n      .attr(\"y\", d => (d.source.y + d.target.y) / 2);\n});\n\nfunction drag(simulation) {\n  function dragstarted(event, d) {\n    if (!event.active) simulation.alphaTarget(0.3).restart();\n    d.fx = d.x;\n    d.fy = d.y;\n  }\n\n  function dragged(event, d) {\n    d.fx = event.x;\n    d.fy = event.y;\n  }\n\n  function dragended(event, d) {\n    if (!event.active) simulation.alphaTarget(0);\n    d.fx = null;\n    d.fy = null;\n  }\n\n  return d3.drag()\n      .on(\"start\", dragstarted)\n      .on(\"drag\", dragged)\n      .on(\"end\", dragended);\n}\n\n}) })(element);\n"
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#%js\n",
    "my $g = Graph::Complete.new(5,'node:', :!directed);\n",
    "\n",
    "#%js\n",
    "$g.edges(:dataset) \n",
    "==> js-d3-graph-plot(\n",
    "        :$background, \n",
    "        :$title-color, \n",
    "        width => 700, \n",
    "        :$edge-thickness,\n",
    "        :$vertex-size,\n",
    "        directed => $g.directed,\n",
    "        force => {charge => {strength => -1800, iterations => 2}, collision => {radius => 40, iterations => 10}, link => {distance => 310}}\n",
    "    )"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[Mermaid-JS](https://mermaid.js.org) rendering via [\"WWW::MermaidInk\"](https://raku.land/zef:antononcube/WWW::MermaidInk):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
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text-align: center;\"><span class=\"nodeLabel \"><p>node:3</p></span></div></foreignObject></g></g><g class=\"node default  \" id=\"flowchart-node:5-1\" transform=\"translate(699.5546875, 128)\"><rect class=\"basic label-container\" style=\"\" data-id=\"abc\" data-et=\"node\" x=\"-54.6171875\" y=\"-27\" width=\"109.234375\" height=\"54\"/><g class=\"label\" style=\"\" transform=\"translate(-24.6171875, -12)\"><rect/><foreignObject width=\"49.234375\" height=\"24\"><div xmlns=\"http://www.w3.org/1999/xhtml\" style=\"display: table-cell; white-space: nowrap; line-height: 1.5; max-width: 200px; text-align: center;\"><span class=\"nodeLabel \"><p>node:5</p></span></div></foreignObject></g></g><g class=\"node default  \" id=\"flowchart-node:2-2\" transform=\"translate(221.8515625, 159)\"><rect class=\"basic label-container\" style=\"\" data-id=\"abc\" data-et=\"node\" x=\"-54.6171875\" y=\"-27\" width=\"109.234375\" height=\"54\"/><g class=\"label\" style=\"\" transform=\"translate(-24.6171875, -12)\"><rect/><foreignObject width=\"49.234375\" height=\"24\"><div xmlns=\"http://www.w3.org/1999/xhtml\" style=\"display: table-cell; white-space: nowrap; line-height: 1.5; max-width: 200px; text-align: center;\"><span class=\"nodeLabel \"><p>node:2</p></span></div></foreignObject></g></g><g class=\"node default  \" id=\"flowchart-node:4-5\" transform=\"translate(540.3203125, 97)\"><rect class=\"basic label-container\" style=\"\" data-id=\"abc\" data-et=\"node\" x=\"-54.6171875\" y=\"-27\" width=\"109.234375\" height=\"54\"/><g class=\"label\" style=\"\" transform=\"translate(-24.6171875, -12)\"><rect/><foreignObject width=\"49.234375\" height=\"24\"><div xmlns=\"http://www.w3.org/1999/xhtml\" style=\"display: table-cell; white-space: nowrap; line-height: 1.5; max-width: 200px; text-align: center;\"><span class=\"nodeLabel \"><p>node:4</p></span></div></foreignObject></g></g><g class=\"node default  \" id=\"flowchart-node:1-6\" transform=\"translate(62.6171875, 128)\"><rect class=\"basic label-container\" style=\"\" data-id=\"abc\" data-et=\"node\" x=\"-54.6171875\" y=\"-27\" width=\"109.234375\" height=\"54\"/><g class=\"label\" style=\"\" transform=\"translate(-24.6171875, -12)\"><rect/><foreignObject width=\"49.234375\" height=\"24\"><div xmlns=\"http://www.w3.org/1999/xhtml\" style=\"display: table-cell; white-space: nowrap; line-height: 1.5; max-width: 200px; text-align: center;\"><span class=\"nodeLabel \"><p>node:1</p></span></div></foreignObject></g></g></g></g></g></svg>"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mermaid-ink($mmd-theme ~ \"\\n\" ~ $g.mermaid, background => '1F1F1F', format => 'svg')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Remark:** The graph is undirected and (it looks like) the service mermaid-ink shows the connections with arrows."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Much faster rendering if executed in a Jupyter notebook run in VS Code:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/markdown": [
       "```mermaid\n",
       "graph LR\n",
       "node:3 --- node:5\n",
       "node:2 --- node:3\n",
       "node:3 --- node:4\n",
       "node:1 --- node:3\n",
       "node:1 --- node:4\n",
       "node:2 --- node:4\n",
       "node:4 --- node:5\n",
       "node:2 --- node:5\n",
       "node:1 --- node:5\n",
       "node:1 --- node:2\n",
       "```"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#%markdown\n",
    "$g.mermaid():f"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "</g>\n",
       "<!-- node:3&#45;&#45;node:4 -->\n",
       "<g id=\"edge3\" class=\"edge\">\n",
       "<title>node:3&#45;&#45;node:4</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"2\" d=\"M85.26,-219.03C91.41,-181.39 111.34,-59.56 117.49,-21.96\"/>\n",
       "</g>\n",
       "<!-- node:3&#45;&#45;node:5 -->\n",
       "<g id=\"edge1\" class=\"edge\">\n",
       "<title>node:3&#45;&#45;node:5</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"2\" d=\"M104.37,-227C129.99,-223.07 173.09,-216.45 198.62,-212.54\"/>\n",
       "</g>\n",
       "<!-- node:4&#45;&#45;node:5 -->\n",
       "<g id=\"edge7\" class=\"edge\">\n",
       "<title>node:4&#45;&#45;node:5</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"2\" d=\"M124.7,-21.48C142.07,-55.95 196.55,-164.07 213.96,-198.63\"/>\n",
       "</g>\n",
       "</g>\n",
       "</svg>\n"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#% html\n",
    "$g.&sfdp(node-fixed-size=>True, node-shape => 'ellipse', node-width=>0.6, node-height=>0.3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Complete : True\n",
      "(5 10)\n"
     ]
    }
   ],
   "source": [
    "say \"Complete : {$g.is-complete}\";\n",
    "say ($g.vertex-count, $g.edge-count);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Predicates: the periphery and the center are the same as the set of all vertexes:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "$g.periphery eqv $g.center eqv $g.vertex-list"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "------\n",
    "\n",
    "## Complete K-ary tree"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
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     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#%js\n",
    "my $g = Graph::CompleteKaryTree.new(n => 4, k => 3, prefix => '', :directed);\n",
    "\n",
    "$g.edges(:dataset) \n",
    "==> js-d3-graph-plot(\n",
    "        :$background, \n",
    "        title-color => 'none',  \n",
    "        width => 600, \n",
    "        :$edge-thickness,\n",
    "        :$vertex-size,\n",
    "        vertex-color => 'SlateBlue',\n",
    "        directed => $g.directed,\n",
    "        force => {charge => {strength => -120, iterations => 2}, collision => {radius => 4, iterations => 1}, link => {minDistance => 10}}\n",
    "    )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/markdown": [
       "```mermaid\n",
       "graph TD\n",
       "11 --> 36\n",
       "11 --> 34\n",
       "11 --> 35\n",
       "1 --> 4\n",
       "1 --> 5\n",
       "1 --> 6\n",
       "7 --> 22\n",
       "7 --> 23\n",
       "7 --> 24\n",
       "5 --> 18\n",
       "5 --> 17\n",
       "5 --> 16\n",
       "12 --> 39\n",
       "12 --> 37\n",
       "12 --> 38\n",
       "4 --> 15\n",
       "4 --> 14\n",
       "4 --> 13\n",
       "3 --> 10\n",
       "3 --> 11\n",
       "3 --> 12\n",
       "9 --> 28\n",
       "9 --> 30\n",
       "9 --> 29\n",
       "0 --> 1\n",
       "0 --> 3\n",
       "0 --> 2\n",
       "8 --> 26\n",
       "8 --> 25\n",
       "8 --> 27\n",
       "10 --> 32\n",
       "10 --> 33\n",
       "10 --> 31\n",
       "2 --> 7\n",
       "2 --> 8\n",
       "2 --> 9\n",
       "6 --> 20\n",
       "6 --> 21\n",
       "6 --> 19\n",
       "```"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#%markdown\n",
    "$g.mermaid(direction=>'TD'):f"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
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       "<g id=\"edge35\" class=\"edge\">\n",
       "<title>2&#45;&gt;8</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"2\" d=\"M172.06,-339.77C159.82,-334.83 139.07,-326.47 123.13,-320.05\"/>\n",
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       "</g>\n",
       "<!-- 9 -->\n",
       "<g id=\"node40\" class=\"node\">\n",
       "<title>9</title>\n",
       "<ellipse fill=\"SlateBlue\" stroke=\"LightBlue\" cx=\"112.62\" cy=\"-396.06\" rx=\"10.8\" ry=\"10.8\"/>\n",
       "<text text-anchor=\"middle\" x=\"112.62\" y=\"-391.79\" font-family=\"Times,serif\" font-size=\"12.00\" fill=\"Ivory\">9</text>\n",
       "</g>\n",
       "<!-- 2&#45;&gt;9 -->\n",
       "<g id=\"edge36\" class=\"edge\">\n",
       "<title>2&#45;&gt;9</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"2\" d=\"M173.54,-350.53C163.12,-358.32 145.48,-371.5 131.86,-381.69\"/>\n",
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       "<!-- 20 -->\n",
       "<g id=\"node14\" class=\"node\">\n",
       "<title>20</title>\n",
       "<ellipse fill=\"SlateBlue\" stroke=\"LightBlue\" cx=\"381.73\" cy=\"-64.35\" rx=\"10.8\" ry=\"10.8\"/>\n",
       "<text text-anchor=\"middle\" x=\"381.73\" y=\"-60.08\" font-family=\"Times,serif\" font-size=\"12.00\" fill=\"Ivory\">20</text>\n",
       "</g>\n",
       "<!-- 21 -->\n",
       "<g id=\"node15\" class=\"node\">\n",
       "<title>21</title>\n",
       "<ellipse fill=\"SlateBlue\" stroke=\"LightBlue\" cx=\"396.91\" cy=\"-114.53\" rx=\"10.8\" ry=\"10.8\"/>\n",
       "<text text-anchor=\"middle\" x=\"396.91\" y=\"-110.25\" font-family=\"Times,serif\" font-size=\"12.00\" fill=\"Ivory\">21</text>\n",
       "</g>\n",
       "<!-- 22 -->\n",
       "<g id=\"node16\" class=\"node\">\n",
       "<title>22</title>\n",
       "<ellipse fill=\"SlateBlue\" stroke=\"LightBlue\" cx=\"183.73\" cy=\"-523.39\" rx=\"10.8\" ry=\"10.8\"/>\n",
       "<text text-anchor=\"middle\" x=\"183.73\" y=\"-519.12\" font-family=\"Times,serif\" font-size=\"12.00\" fill=\"Ivory\">22</text>\n",
       "</g>\n",
       "<!-- 23 -->\n",
       "<g id=\"node17\" class=\"node\">\n",
       "<title>23</title>\n",
       "<ellipse fill=\"SlateBlue\" stroke=\"LightBlue\" cx=\"230.21\" cy=\"-499.68\" rx=\"10.8\" ry=\"10.8\"/>\n",
       "<text text-anchor=\"middle\" x=\"230.21\" y=\"-495.4\" font-family=\"Times,serif\" font-size=\"12.00\" fill=\"Ivory\">23</text>\n",
       "</g>\n",
       "<!-- 24 -->\n",
       "<g id=\"node18\" class=\"node\">\n",
       "<title>24</title>\n",
       "<ellipse fill=\"SlateBlue\" stroke=\"LightBlue\" cx=\"136.99\" cy=\"-501.54\" rx=\"10.8\" ry=\"10.8\"/>\n",
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       "<!-- 25 -->\n",
       "<g id=\"node19\" class=\"node\">\n",
       "<title>25</title>\n",
       "<ellipse fill=\"SlateBlue\" stroke=\"LightBlue\" cx=\"10.8\" cy=\"-292.11\" rx=\"10.8\" ry=\"10.8\"/>\n",
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       "<title>26</title>\n",
       "<ellipse fill=\"SlateBlue\" stroke=\"LightBlue\" cx=\"18.85\" cy=\"-342.99\" rx=\"10.8\" ry=\"10.8\"/>\n",
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       "</g>\n",
       "<!-- 27 -->\n",
       "<g id=\"node21\" class=\"node\">\n",
       "<title>27</title>\n",
       "<ellipse fill=\"SlateBlue\" stroke=\"LightBlue\" cx=\"46.37\" cy=\"-253.69\" rx=\"10.8\" ry=\"10.8\"/>\n",
       "<text text-anchor=\"middle\" x=\"46.37\" y=\"-249.42\" font-family=\"Times,serif\" font-size=\"12.00\" fill=\"Ivory\">27</text>\n",
       "</g>\n",
       "<!-- 28 -->\n",
       "<g id=\"node22\" class=\"node\">\n",
       "<title>28</title>\n",
       "<ellipse fill=\"SlateBlue\" stroke=\"LightBlue\" cx=\"24.85\" cy=\"-398.8\" rx=\"10.8\" ry=\"10.8\"/>\n",
       "<text text-anchor=\"middle\" x=\"24.85\" y=\"-394.53\" font-family=\"Times,serif\" font-size=\"12.00\" fill=\"Ivory\">28</text>\n",
       "</g>\n",
       "<!-- 29 -->\n",
       "<g id=\"node23\" class=\"node\">\n",
       "<title>29</title>\n",
       "<ellipse fill=\"SlateBlue\" stroke=\"LightBlue\" cx=\"85.66\" cy=\"-479.54\" rx=\"10.8\" ry=\"10.8\"/>\n",
       "<text text-anchor=\"middle\" x=\"85.66\" y=\"-475.27\" font-family=\"Times,serif\" font-size=\"12.00\" fill=\"Ivory\">29</text>\n",
       "</g>\n",
       "<!-- 3&#45;&gt;10 -->\n",
       "<g id=\"edge19\" class=\"edge\">\n",
       "<title>3&#45;&gt;10</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"2\" d=\"M362.17,-317.1C373.11,-309.53 391.68,-296.65 405.87,-286.82\"/>\n",
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       "</g>\n",
       "<!-- 3&#45;&gt;11 -->\n",
       "<g id=\"edge20\" class=\"edge\">\n",
       "<title>3&#45;&gt;11</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"2\" d=\"M363.11,-328.05C375.03,-333.47 395.2,-342.65 410.78,-349.74\"/>\n",
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       "</g>\n",
       "<!-- 3&#45;&gt;12 -->\n",
       "<g id=\"edge21\" class=\"edge\">\n",
       "<title>3&#45;&gt;12</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"2\" d=\"M354.21,-334.43C355.62,-347.39 358.01,-369.32 359.85,-386.25\"/>\n",
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       "</g>\n",
       "<!-- 30 -->\n",
       "<g id=\"node25\" class=\"node\">\n",
       "<title>30</title>\n",
       "<ellipse fill=\"SlateBlue\" stroke=\"LightBlue\" cx=\"40.71\" cy=\"-450.24\" rx=\"10.8\" ry=\"10.8\"/>\n",
       "<text text-anchor=\"middle\" x=\"40.71\" y=\"-445.97\" font-family=\"Times,serif\" font-size=\"12.00\" fill=\"Ivory\">30</text>\n",
       "</g>\n",
       "<!-- 4&#45;&gt;13 -->\n",
       "<g id=\"edge18\" class=\"edge\">\n",
       "<title>4&#45;&gt;13</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"2\" d=\"M159.77,-149.96C148.38,-149.95 130.23,-149.92 115.52,-149.9\"/>\n",
       "<polygon fill=\"SteelBlue\" stroke=\"SteelBlue\" stroke-width=\"2\" points=\"115.85,-146.4 105.85,-149.89 115.84,-153.4 115.85,-146.4\"/>\n",
       "</g>\n",
       "<!-- 4&#45;&gt;14 -->\n",
       "<g id=\"edge17\" class=\"edge\">\n",
       "<title>4&#45;&gt;14</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"2\" d=\"M161.77,-143.77C150.13,-135.74 129.55,-121.55 114.28,-111.02\"/>\n",
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       "</g>\n",
       "<!-- 4&#45;&gt;15 -->\n",
       "<g id=\"edge16\" class=\"edge\">\n",
       "<title>4&#45;&gt;15</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"2\" d=\"M166.55,-139.66C161.53,-127.42 153.03,-106.66 146.5,-90.72\"/>\n",
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       "</g>\n",
       "<!-- 5&#45;&gt;16 -->\n",
       "<g id=\"edge12\" class=\"edge\">\n",
       "<title>5&#45;&gt;16</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"2\" d=\"M233.15,-91.82C224.31,-81.93 209.28,-65.13 197.8,-52.29\"/>\n",
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       "</g>\n",
       "<!-- 5&#45;&gt;17 -->\n",
       "<g id=\"edge11\" class=\"edge\">\n",
       "<title>5&#45;&gt;17</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"2\" d=\"M245.88,-90.34C252.22,-78.69 263,-58.89 271.24,-43.77\"/>\n",
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       "<!-- 5&#45;&gt;18 -->\n",
       "<g id=\"edge10\" class=\"edge\">\n",
       "<title>5&#45;&gt;18</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"2\" d=\"M239.29,-89.16C237.72,-75.63 235,-52.25 232.95,-34.53\"/>\n",
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       "<!-- 6&#45;&gt;19 -->\n",
       "<g id=\"edge39\" class=\"edge\">\n",
       "<title>6&#45;&gt;19</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"2\" d=\"M321.66,-121.78C323.71,-108.73 327.21,-86.6 329.89,-69.6\"/>\n",
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       "</g>\n",
       "<!-- 6&#45;&gt;20 -->\n",
       "<g id=\"edge37\" class=\"edge\">\n",
       "<title>6&#45;&gt;20</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"2\" d=\"M327.25,-124.66C336.73,-114.17 353.5,-95.61 365.93,-81.84\"/>\n",
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       "<!-- 6&#45;&gt;21 -->\n",
       "<g id=\"edge38\" class=\"edge\">\n",
       "<title>6&#45;&gt;21</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"2\" d=\"M330.62,-130.24C341.77,-127.6 359.57,-123.38 373.92,-119.97\"/>\n",
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       "</g>\n",
       "<!-- 7&#45;&gt;22 -->\n",
       "<g id=\"edge7\" class=\"edge\">\n",
       "<title>7&#45;&gt;22</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"2\" d=\"M189.73,-442.29C188.69,-456.26 186.87,-480.85 185.51,-499.3\"/>\n",
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       "</g>\n",
       "<!-- 7&#45;&gt;23 -->\n",
       "<g id=\"edge8\" class=\"edge\">\n",
       "<title>7&#45;&gt;23</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"2\" d=\"M196.05,-440.87C201.8,-450.76 210.97,-466.55 218.37,-479.28\"/>\n",
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       "</g>\n",
       "<!-- 7&#45;&gt;24 -->\n",
       "<g id=\"edge9\" class=\"edge\">\n",
       "<title>7&#45;&gt;24</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"2\" d=\"M183.75,-440.26C175.66,-450.86 161.91,-468.88 151.41,-482.64\"/>\n",
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       "<!-- 8&#45;&gt;25 -->\n",
       "<g id=\"edge29\" class=\"edge\">\n",
       "<title>8&#45;&gt;25</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"2\" d=\"M89.88,-308.77C76.09,-305.87 52.13,-300.82 34.19,-297.04\"/>\n",
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       "</g>\n",
       "<!-- 8&#45;&gt;26 -->\n",
       "<g id=\"edge28\" class=\"edge\">\n",
       "<title>8&#45;&gt;26</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"2\" d=\"M90.53,-315.14C78.2,-319.93 57.29,-328.06 41.22,-334.3\"/>\n",
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       "</g>\n",
       "<!-- 8&#45;&gt;27 -->\n",
       "<g id=\"edge30\" class=\"edge\">\n",
       "<title>8&#45;&gt;27</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"2\" d=\"M93.34,-303.12C85.44,-294.81 72.83,-281.53 62.66,-270.83\"/>\n",
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       "</g>\n",
       "<!-- 9&#45;&gt;28 -->\n",
       "<g id=\"edge22\" class=\"edge\">\n",
       "<title>9&#45;&gt;28</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"2\" d=\"M101.5,-396.41C88.31,-396.82 65.95,-397.52 48.77,-398.06\"/>\n",
       "<polygon fill=\"SteelBlue\" stroke=\"SteelBlue\" stroke-width=\"2\" points=\"48.79,-394.55 38.9,-398.37 49.01,-401.55 48.79,-394.55\"/>\n",
       "</g>\n",
       "<!-- 9&#45;&gt;29 -->\n",
       "<g id=\"edge24\" class=\"edge\">\n",
       "<title>9&#45;&gt;29</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"2\" d=\"M109.21,-406.64C105.18,-419.11 98.36,-440.22 93.1,-456.52\"/>\n",
       "<polygon fill=\"SteelBlue\" stroke=\"SteelBlue\" stroke-width=\"2\" points=\"89.81,-455.32 90.06,-465.91 96.47,-457.47 89.81,-455.32\"/>\n",
       "</g>\n",
       "<!-- 9&#45;&gt;30 -->\n",
       "<g id=\"edge23\" class=\"edge\">\n",
       "<title>9&#45;&gt;30</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"2\" d=\"M103.8,-402.71C92.91,-410.91 74.08,-425.1 59.82,-435.84\"/>\n",
       "<polygon fill=\"SteelBlue\" stroke=\"SteelBlue\" stroke-width=\"2\" points=\"57.9,-432.91 52.02,-441.72 62.11,-438.5 57.9,-432.91\"/>\n",
       "</g>\n",
       "</g>\n",
       "</svg>\n"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#% html\n",
    "$g.&neato(background => '#1F1F1F', node-font-color=>'Ivory', node-label-location=>'c', node-size => 0.2, node-color => 'LightBlue', node-fill-color => 'SlateBlue')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "-----\n",
    "\n",
    "## Cycle graph"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": "(function(element) { require(['d3'], function(d3) {\n\n// set the dimensions and margins of the graph\nvar margin = {\"top\":40,\"left\":40,\"bottom\":40,\"right\":40},\n    width = 700 - margin.left - margin.right,\n    height = 433 - margin.top - margin.bottom;\n\n// append the svg object to the body of the page\nvar svg = d3\n   .select(element.get(0))\n  .append(\"svg\")\n    .attr(\"width\", width + margin.left + margin.right)\n    .attr(\"height\", height + margin.top + margin.bottom)\n    .style(\"background\", \"#1F1F1F\")\n  .append(\"g\")\n    .attr(\"transform\",\n          \"translate(\" + margin.left + \",\" + margin.top + \")\")\n\n// Obtain title\nvar title = \"\"\nvar titleFontSize = 16\n\nif ( title.length > 0 ) {\n    svg.append(\"text\")\n        .attr(\"x\", (width / 2))\n        .attr(\"y\", 0 - (margin.top / 2))\n        .attr(\"text-anchor\", \"middle\")\n        .style(\"font-size\", titleFontSize.toString() + \"px\")\n        .style(\"fill\", \"Ivory\")\n        .text(title);\n}\n\nconst edges = [{\"from\":\"0\",\"to\":\"1\",\"label\":\"\",\"weight\":1},{\"weight\":1,\"label\":\"\",\"from\":\"8\",\"to\":\"0\"},{\"from\":\"4\",\"label\":\"\",\"to\":\"5\",\"weight\":1},{\"weight\":1,\"label\":\"\",\"from\":\"7\",\"to\":\"8\"},{\"from\":\"6\",\"label\":\"\",\"weight\":1,\"to\":\"7\"},{\"to\":\"3\",\"weight\":1,\"label\":\"\",\"from\":\"2\"},{\"label\":\"\",\"from\":\"5\",\"weight\":1,\"to\":\"6\"},{\"to\":\"2\",\"label\":\"\",\"weight\":1,\"from\":\"1\"},{\"from\":\"3\",\"to\":\"4\",\"weight\":1,\"label\":\"\"}];\n\nconst nodes = Array.from(new Set(edges.flatMap(e => [e.from, e.to])), id => ({id}));\n\nconst highlightSpecs = {};\n\nconst links = edges.map(e => ({\n  source: e.from,\n  target: e.to,\n  weight: e.weight,\n  label: e.label,\n}));\n\n//.force(\"link\", d3.forceLink(links).id(d => d.id).distance(d => Math.max(d.weight * 20, 6 * 4)))\nconst simulation = d3.forceSimulation(nodes)\n    .force(\"link\", d3.forceLink(links).id(d => d.id).iterations(1))\n    .force(\"charge\", d3.forceManyBody().strength(-1200).distanceMin(1).distanceMax(2000))\n    .force(\"x\", d3.forceX())\n    .force(\"y\", d3.forceY())\n    .force(\"collision\", d3.forceCollide().radius(50))\n    .force(\"center\", d3.forceCenter(width / 2, height / 2));\n\nsvg.append('defs').append('marker')\n    .attr(\"id\",'arrowhead')\n    .attr('viewBox','-0 -5 10 10') //the bound of the SVG viewport for the current SVG fragment. defines a coordinate system 10 wide and 10 high starting on (0,-5)\n     .attr('refX', 16) // x coordinate for the reference point of the marker. If circle is bigger, this need to be bigger.\n     .attr('refY',0)\n     .attr('orient','auto')\n        .attr('markerWidth', 5)\n        .attr('markerHeight', 5)\n        .attr('xoverflow','visible')\n    .append('svg:path')\n    .attr('d', 'M 0,-5 L 10 ,0 L 0,5')\n    .attr('fill', \"SteelBlue\")\n    .style('stroke','none');\n\nconst link = svg.append(\"g\")\n    .attr(\"class\", \"links\")\n  .selectAll(\"line\")\n  .data(links)\n  .enter().append(\"line\")\n    .attr(\"class\", \"link\")\n    .attr(\"stroke\", d => {\n        for (const [color, items] of Object.entries(highlightSpecs)) {\n            if (items.some(item => Array.isArray(item) && item[0] === d.source.id && item[1] === d.target.id)) {\n                return color;\n            }\n        }\n        return \"SteelBlue\";\n    })\n    .attr(\"stroke-width\", 3)\n    .attr('marker-end','url(#arrowhead)')\n\nconst node = svg.append(\"g\")\n    .attr(\"class\", \"nodes\")\n  .selectAll(\"circle\")\n  .data(nodes)\n  .enter().append(\"circle\")\n    .attr(\"class\", \"node\")\n    .attr(\"r\", 6)\n    .attr(\"stroke\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .attr(\"fill\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .call(drag(simulation));\n\nnode.append(\"title\")\n    .text(d => d.id);\n\nconst nodeLabel = svg.append(\"g\")\n    .attr(\"class\", \"node-labels\")\n  .selectAll(\"text\")\n  .data(nodes)\n  .enter().append(\"text\")\n    .attr(\"class\", \"node-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier New\")\n    .attr(\"font-weight\", 100)\n    .attr(\"dy\", -10)\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.id);\n\nconst linkLabel = svg.append(\"g\")\n    .attr(\"class\", \"link-labels\")\n  .selectAll(\"text\")\n  .data(links)\n  .enter().append(\"text\")\n    .filter(d => d.label !== \"\")\n    .attr(\"class\", \"link-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier\")\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.label);\n\nsimulation.on(\"tick\", () => {\n  link\n      .attr(\"x1\", d => d.source.x)\n      .attr(\"y1\", d => d.source.y)\n      .attr(\"x2\", d => d.target.x)\n      .attr(\"y2\", d => d.target.y);\n\n  node\n      .attr(\"cx\", d => d.x)\n      .attr(\"cy\", d => d.y);\n\n  nodeLabel\n      .attr(\"x\", d => d.x)\n      .attr(\"y\", d => d.y);\n\n  linkLabel\n      .attr(\"x\", d => (d.source.x + d.target.x) / 2)\n      .attr(\"y\", d => (d.source.y + d.target.y) / 2);\n});\n\nfunction drag(simulation) {\n  function dragstarted(event, d) {\n    if (!event.active) simulation.alphaTarget(0.3).restart();\n    d.fx = d.x;\n    d.fy = d.y;\n  }\n\n  function dragged(event, d) {\n    d.fx = event.x;\n    d.fy = event.y;\n  }\n\n  function dragended(event, d) {\n    if (!event.active) simulation.alphaTarget(0);\n    d.fx = null;\n    d.fy = null;\n  }\n\n  return d3.drag()\n      .on(\"start\", dragstarted)\n      .on(\"drag\", dragged)\n      .on(\"end\", dragended);\n}\n\n}) })(element);\n"
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#%js\n",
    "my $g = Graph::Cycle.new(9, :directed);\n",
    "\n",
    "$g.edges(:dataset) \n",
    "==> js-d3-graph-plot(\n",
    "        :$background, \n",
    "        :$title-color, \n",
    "        width => 700, \n",
    "        :$edge-thickness,\n",
    "        :$vertex-size, \n",
    "        directed => $g.directed,\n",
    "        force => {charge => {strength => -1200, iterations => 2}, collision => {radius => 50, iterations => 1}, link => {minDistance => 30}}\n",
    "    )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/markdown": [
       "```mermaid\n",
       "graph LR\n",
       "0 --> 1\n",
       "8 --> 0\n",
       "4 --> 5\n",
       "7 --> 8\n",
       "6 --> 7\n",
       "2 --> 3\n",
       "5 --> 6\n",
       "1 --> 2\n",
       "3 --> 4\n",
       "```"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#%markdown\n",
    "$g.mermaid():f"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "<!-- 3&#45;&gt;4 -->\n",
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       "<!-- 2&#45;&gt;3 -->\n",
       "<g id=\"edge6\" class=\"edge\">\n",
       "<title>2&#45;&gt;3</title>\n",
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       "</g>\n",
       "</svg>\n"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#% html\n",
    "$g.&neato"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "-----\n",
    "\n",
    "## Grid graph"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": "(function(element) { require(['d3'], function(d3) {\n\n// set the dimensions and margins of the graph\nvar margin = {\"left\":40,\"right\":40,\"bottom\":40,\"top\":40},\n    width = 600 - margin.left - margin.right,\n    height = 371 - margin.top - margin.bottom;\n\n// append the svg object to the body of the page\nvar svg = d3\n   .select(element.get(0))\n  .append(\"svg\")\n    .attr(\"width\", width + margin.left + margin.right)\n    .attr(\"height\", height + margin.top + margin.bottom)\n    .style(\"background\", \"#1F1F1F\")\n  .append(\"g\")\n    .attr(\"transform\",\n          \"translate(\" + margin.left + \",\" + margin.top + \")\")\n\n// Obtain title\nvar title = \"\"\nvar titleFontSize = 16\n\nif ( title.length > 0 ) {\n    svg.append(\"text\")\n        .attr(\"x\", (width / 2))\n        .attr(\"y\", 0 - (margin.top / 2))\n        .attr(\"text-anchor\", \"middle\")\n        .style(\"font-size\", titleFontSize.toString() + \"px\")\n        .style(\"fill\", \"Ivory\")\n        .text(title);\n}\n\nconst edges = [{\"to\":\"3_4\",\"from\":\"3_3\",\"weight\":1,\"label\":\"\"},{\"to\":\"4_3\",\"from\":\"3_3\",\"weight\":1,\"label\":\"\"},{\"to\":\"4_1\",\"label\":\"\",\"weight\":1,\"from\":\"4_0\"},{\"label\":\"\",\"from\":\"0_5\",\"to\":\"0_6\",\"weight\":1},{\"from\":\"0_5\",\"to\":\"1_5\",\"label\":\"\",\"weight\":1},{\"label\":\"\",\"from\":\"4_3\",\"to\":\"4_4\",\"weight\":1},{\"weight\":1,\"to\":\"3_1\",\"from\":\"3_0\",\"label\":\"\"},{\"to\":\"4_0\",\"label\":\"\",\"from\":\"3_0\",\"weight\":1},{\"from\":\"4_2\",\"label\":\"\",\"weight\":1,\"to\":\"4_3\"},{\"weight\":1,\"from\":\"0_4\",\"to\":\"0_5\",\"label\":\"\"},{\"from\":\"0_4\",\"weight\":1,\"to\":\"1_4\",\"label\":\"\"},{\"weight\":1,\"to\":\"4_2\",\"from\":\"3_2\",\"label\":\"\"},{\"to\":\"3_3\",\"from\":\"3_2\",\"weight\":1,\"label\":\"\"},{\"to\":\"2_6\",\"from\":\"1_6\",\"label\":\"\",\"weight\":1},{\"label\":\"\",\"weight\":1,\"to\":\"2_4\",\"from\":\"1_4\"},{\"from\":\"1_4\",\"weight\":1,\"to\":\"1_5\",\"label\":\"\"},{\"from\":\"1_0\",\"to\":\"1_1\",\"weight\":1,\"label\":\"\"},{\"to\":\"2_0\",\"from\":\"1_0\",\"label\":\"\",\"weight\":1},{\"to\":\"1_6\",\"from\":\"0_6\",\"weight\":1,\"label\":\"\"},{\"from\":\"2_5\",\"label\":\"\",\"to\":\"2_6\",\"weight\":1},{\"weight\":1,\"label\":\"\",\"from\":\"2_5\",\"to\":\"3_5\"},{\"weight\":1,\"to\":\"0_1\",\"from\":\"0_0\",\"label\":\"\"},{\"from\":\"0_0\",\"label\":\"\",\"to\":\"1_0\",\"weight\":1},{\"from\":\"1_2\",\"to\":\"2_2\",\"weight\":1,\"label\":\"\"},{\"to\":\"1_3\",\"weight\":1,\"label\":\"\",\"from\":\"1_2\"},{\"from\":\"2_1\",\"label\":\"\",\"to\":\"2_2\",\"weight\":1},{\"weight\":1,\"label\":\"\",\"from\":\"2_1\",\"to\":\"3_1\"},{\"label\":\"\",\"from\":\"0_3\",\"to\":\"0_4\",\"weight\":1},{\"label\":\"\",\"weight\":1,\"to\":\"1_3\",\"from\":\"0_3\"},{\"label\":\"\",\"weight\":1,\"to\":\"2_4\",\"from\":\"2_3\"},{\"label\":\"\",\"to\":\"3_3\",\"weight\":1,\"from\":\"2_3\"},{\"to\":\"2_5\",\"weight\":1,\"from\":\"2_4\",\"label\":\"\"},{\"label\":\"\",\"from\":\"2_4\",\"to\":\"3_4\",\"weight\":1},{\"from\":\"0_1\",\"to\":\"1_1\",\"label\":\"\",\"weight\":1},{\"to\":\"0_2\",\"from\":\"0_1\",\"label\":\"\",\"weight\":1},{\"from\":\"2_2\",\"to\":\"3_2\",\"weight\":1,\"label\":\"\"},{\"to\":\"2_3\",\"label\":\"\",\"from\":\"2_2\",\"weight\":1},{\"from\":\"1_1\",\"label\":\"\",\"weight\":1,\"to\":\"1_2\"},{\"to\":\"2_1\",\"label\":\"\",\"weight\":1,\"from\":\"1_1\"},{\"weight\":1,\"from\":\"3_5\",\"to\":\"4_5\",\"label\":\"\"},{\"weight\":1,\"from\":\"3_5\",\"label\":\"\",\"to\":\"3_6\"},{\"label\":\"\",\"weight\":1,\"from\":\"1_5\",\"to\":\"1_6\"},{\"to\":\"2_5\",\"label\":\"\",\"from\":\"1_5\",\"weight\":1},{\"label\":\"\",\"from\":\"4_4\",\"weight\":1,\"to\":\"4_5\"},{\"label\":\"\",\"from\":\"2_0\",\"to\":\"2_1\",\"weight\":1},{\"weight\":1,\"from\":\"2_0\",\"to\":\"3_0\",\"label\":\"\"},{\"label\":\"\",\"weight\":1,\"from\":\"2_6\",\"to\":\"3_6\"},{\"to\":\"0_3\",\"from\":\"0_2\",\"label\":\"\",\"weight\":1},{\"label\":\"\",\"to\":\"1_2\",\"weight\":1,\"from\":\"0_2\"},{\"to\":\"4_6\",\"weight\":1,\"label\":\"\",\"from\":\"4_5\"},{\"weight\":1,\"label\":\"\",\"to\":\"3_2\",\"from\":\"3_1\"},{\"from\":\"3_1\",\"label\":\"\",\"weight\":1,\"to\":\"4_1\"},{\"from\":\"3_6\",\"weight\":1,\"label\":\"\",\"to\":\"4_6\"},{\"to\":\"1_4\",\"from\":\"1_3\",\"label\":\"\",\"weight\":1},{\"to\":\"2_3\",\"weight\":1,\"from\":\"1_3\",\"label\":\"\"},{\"label\":\"\",\"from\":\"4_1\",\"weight\":1,\"to\":\"4_2\"},{\"weight\":1,\"from\":\"3_4\",\"to\":\"4_4\",\"label\":\"\"},{\"label\":\"\",\"to\":\"3_5\",\"weight\":1,\"from\":\"3_4\"}];\n\nconst 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links = edges.map(e => ({\n  source: e.from,\n  target: e.to,\n  weight: e.weight,\n  label: e.label\n}));\n\nconst nodes = Object.keys(vertexCoordinates).map(key => ({\n  id: key,\n  x: vertexCoordinates[key].x,\n  y: vertexCoordinates[key].y\n}));\n\nvar xMin = Math.min.apply(Math, nodes.map(function(o) { return o.x; }))\nvar xMax = Math.max.apply(Math, nodes.map(function(o) { return o.x; }))\n\nvar yMin = Math.min.apply(Math, nodes.map(function(o) { return o.y; }))\nvar yMax = Math.max.apply(Math, nodes.map(function(o) { return o.y; }))\n\n// X scale and Axis\nvar xScale = d3.scaleLinear()\n    .domain([xMin, xMax])\n    .range([0, width]);\n\n// Y scale and Axis\nvar yScale = d3.scaleLinear()\n    .domain([yMin, yMax])\n    .range([height, 0]);\n\nnodes.forEach(node => {\n  node.x = xScale(node.x);\n  node.y = yScale(node.y);\n});\n\nconst link = svg.append(\"g\")\n    .attr(\"class\", \"links\")\n  .selectAll(\"line\")\n  .data(links)\n  .enter().append(\"line\")\n    .attr(\"class\", \"link\")\n    .attr(\"stroke\", d => {\n        for (const [color, items] of Object.entries(highlightSpecs)) {\n            if (items.some(item => Array.isArray(item) && item[0] === d.source && item[1] === d.target)) {\n                return color;\n            }\n        }\n        return \"SteelBlue\";\n    })\n    .attr(\"stroke-width\", 3)\n    .attr(\"x1\", d => nodes.find(n => n.id === d.source).x)\n    .attr(\"y1\", d => nodes.find(n => n.id === d.source).y)\n    .attr(\"x2\", d => nodes.find(n => n.id === d.target).x)\n    .attr(\"y2\", d => nodes.find(n => n.id === d.target).y);\n\nif (isDirected) {\n  link.attr(\"marker-end\", \"url(#arrow)\");\n  svg.append(\"defs\").append(\"marker\")\n    .attr(\"id\", \"arrow\")\n    .attr(\"viewBox\", \"0 -5 10 10\")\n    .attr(\"refX\", 16)\n    .attr(\"refY\", 0)\n    .attr(\"markerWidth\", 5)\n    .attr(\"markerHeight\", 5)\n    .attr(\"orient\", \"auto\")\n    .append(\"path\")\n    .attr(\"d\", \"M0,-5L10,0L0,5\")\n    .attr(\"fill\", \"SteelBlue\");\n}\n\nconst node = svg.append(\"g\")\n    .attr(\"class\", \"nodes\")\n  .selectAll(\"circle\")\n  .data(nodes)\n  .enter().append(\"circle\")\n    .attr(\"class\", \"node\")\n    .attr(\"r\", 6)\n    .attr(\"cx\", d => d.x)\n    .attr(\"cy\", d => d.y)\n    .attr(\"stroke\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .attr(\"fill\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .call(d3.drag()\n      .on(\"start\", dragstarted)\n      .on(\"drag\", dragged)\n      .on(\"end\", dragended));\n\nnode.append(\"title\")\n    .text(d => d.id);\n\nconst nodeLabel = svg.append(\"g\")\n    .attr(\"class\", \"node-labels\")\n  .selectAll(\"text\")\n  .data(nodes)\n  .enter().append(\"text\")\n    .attr(\"class\", \"node-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier New\")\n    .attr(\"font-weight\", 100)\n    .attr(\"dy\", -10)\n    .attr(\"x\", d => d.x)\n    .attr(\"y\", d => d.y)\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.id);\n\nconst linkLabel = svg.append(\"g\")\n    .attr(\"class\", \"link-labels\")\n  .selectAll(\"text\")\n  .data(links)\n  .enter().append(\"text\")\n    .filter(d => d.label !== \"\")\n    .attr(\"class\", \"link-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier New\")\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .attr(\"font-weight\", 100)\n    .attr(\"dy\", -10)\n    .attr(\"x\", d => xScale((vertexCoordinates[d.source].x + vertexCoordinates[d.target].x) / 2))\n    .attr(\"y\", d => yScale((vertexCoordinates[d.source].y + vertexCoordinates[d.target].y) / 2))\n    .text(d => d.label);\n\nfunction dragstarted(event, d) {\n  d3.select(this).raise().attr(\"stroke\", \"SteelBlue\");\n}\n\nfunction dragged(event, d) {\n  d.x = event.x;\n  d.y = event.y;\n  d3.select(this).attr(\"cx\", d.x).attr(\"cy\", d.y);\n  link\n    .attr(\"x1\", l => nodes.find(n => n.id === l.source).x)\n    .attr(\"y1\", l => nodes.find(n => n.id === l.source).y)\n    .attr(\"x2\", l => nodes.find(n => n.id === l.target).x)\n    .attr(\"y2\", l => nodes.find(n => n.id === l.target).y);\n}\n\nfunction dragended(event, d) {\n  d3.select(this).attr(\"stroke\", null);\n}\n\n}) })(element);\n"
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#%js\n",
    "my $g = Graph::Grid.new(rows => 5, columns => 7):d;\n",
    "\n",
    "$g.edges(:dataset) \n",
    "==> js-d3-graph-plot(\n",
    "    vertex-coordinates => $g.vertex-coordinates,\n",
    "    :$background, \n",
    "    :$title-color, \n",
    "    width => 600, \n",
    "    :$edge-thickness,\n",
    "    :$vertex-size,\n",
    "    force => {charge => {strength => -400, iterations => 2}, collision => {radius => 4, iterations => 1}, link => {distance => 0}}\n",
    "):d"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
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       "<title>1_0&#45;&gt;1_1</title>\n",
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       "<!-- 2_0 -->\n",
       "<g id=\"node24\" class=\"node\">\n",
       "<title>2_0</title>\n",
       "<polygon fill=\"SteelBlue\" stroke=\"Gray\" points=\"28.8,-172.8 0,-172.8 0,-144 28.8,-144 28.8,-172.8\"/>\n",
       "<text text-anchor=\"middle\" x=\"14.4\" y=\"-154.12\" font-family=\"Times,serif\" font-size=\"12.00\" fill=\"White\">2_0</text>\n",
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       "<title>1_0&#45;&gt;2_0</title>\n",
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       "<!-- 0_5 -->\n",
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       "<polygon fill=\"SteelBlue\" stroke=\"Gray\" points=\"388.8,-28.8 360,-28.8 360,0 388.8,0 388.8,-28.8\"/>\n",
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       "</g>\n",
       "<!-- 0_4&#45;&gt;0_5 -->\n",
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       "<title>0_4&#45;&gt;0_5</title>\n",
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       "</g>\n",
       "<!-- 2_0&#45;&gt;3_0 -->\n",
       "<g id=\"edge46\" class=\"edge\">\n",
       "<title>2_0&#45;&gt;3_0</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"2\" d=\"M14.4,-172.97C14.4,-181.5 14.4,-192.56 14.4,-202.69\"/>\n",
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       "</g>\n",
       "<!-- 2_0&#45;&gt;2_1 -->\n",
       "<g id=\"edge45\" class=\"edge\">\n",
       "<title>2_0&#45;&gt;2_1</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"2\" d=\"M28.97,-158.4C37.5,-158.4 48.56,-158.4 58.69,-158.4\"/>\n",
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       "</g>\n",
       "<!-- 0_5&#45;&gt;0_6 -->\n",
       "<g id=\"edge4\" class=\"edge\">\n",
       "<title>0_5&#45;&gt;0_6</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"2\" d=\"M388.97,-14.4C397.5,-14.4 408.56,-14.4 418.69,-14.4\"/>\n",
       "<polygon fill=\"SteelBlue\" stroke=\"SteelBlue\" stroke-width=\"2\" points=\"418.58,-17.9 428.58,-14.4 418.58,-10.9 418.58,-17.9\"/>\n",
       "</g>\n",
       "<!-- 0_5&#45;&gt;1_5 -->\n",
       "<g id=\"edge5\" class=\"edge\">\n",
       "<title>0_5&#45;&gt;1_5</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"2\" d=\"M374.4,-28.97C374.4,-37.5 374.4,-48.56 374.4,-58.69\"/>\n",
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       "</g>\n",
       "<!-- 4_3 -->\n",
       "<g id=\"node26\" class=\"node\">\n",
       "<title>4_3</title>\n",
       "<polygon fill=\"SteelBlue\" stroke=\"Gray\" points=\"244.8,-316.8 216,-316.8 216,-288 244.8,-288 244.8,-316.8\"/>\n",
       "<text text-anchor=\"middle\" x=\"230.4\" y=\"-298.13\" font-family=\"Times,serif\" font-size=\"12.00\" fill=\"White\">4_3</text>\n",
       "</g>\n",
       "<!-- 4_3&#45;&gt;4_4 -->\n",
       "<g id=\"edge6\" class=\"edge\">\n",
       "<title>4_3&#45;&gt;4_4</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"2\" d=\"M244.97,-302.4C253.5,-302.4 264.56,-302.4 274.69,-302.4\"/>\n",
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       "</g>\n",
       "<!-- 1_5&#45;&gt;1_6 -->\n",
       "<g id=\"edge42\" class=\"edge\">\n",
       "<title>1_5&#45;&gt;1_6</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"2\" d=\"M388.97,-86.4C397.5,-86.4 408.56,-86.4 418.69,-86.4\"/>\n",
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       "<!-- 1_5&#45;&gt;2_5 -->\n",
       "<g id=\"edge43\" class=\"edge\">\n",
       "<title>1_5&#45;&gt;2_5</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"2\" d=\"M374.4,-100.97C374.4,-109.5 374.4,-120.56 374.4,-130.69\"/>\n",
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       "<!-- 3_2&#45;&gt;4_2 -->\n",
       "<g id=\"edge12\" class=\"edge\">\n",
       "<title>3_2&#45;&gt;4_2</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"2\" d=\"M158.4,-244.97C158.4,-253.5 158.4,-264.56 158.4,-274.69\"/>\n",
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       "<!-- 3_2&#45;&gt;3_3 -->\n",
       "<g id=\"edge13\" class=\"edge\">\n",
       "<title>3_2&#45;&gt;3_3</title>\n",
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       "<!-- 0_2&#45;&gt;0_3 -->\n",
       "<g id=\"edge48\" class=\"edge\">\n",
       "<title>0_2&#45;&gt;0_3</title>\n",
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       "<!-- 0_2&#45;&gt;1_2 -->\n",
       "<g id=\"edge49\" class=\"edge\">\n",
       "<title>0_2&#45;&gt;1_2</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"2\" d=\"M158.4,-28.97C158.4,-37.5 158.4,-48.56 158.4,-58.69\"/>\n",
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       "<!-- 3_5&#45;&gt;3_6 -->\n",
       "<g id=\"edge41\" class=\"edge\">\n",
       "<title>3_5&#45;&gt;3_6</title>\n",
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       "<!-- 3_5&#45;&gt;4_5 -->\n",
       "<g id=\"edge40\" class=\"edge\">\n",
       "<title>3_5&#45;&gt;4_5</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"2\" d=\"M374.4,-244.97C374.4,-253.5 374.4,-264.56 374.4,-274.69\"/>\n",
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       "<!-- 2_1&#45;&gt;3_1 -->\n",
       "<g id=\"edge27\" class=\"edge\">\n",
       "<title>2_1&#45;&gt;3_1</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"2\" d=\"M86.4,-172.97C86.4,-181.5 86.4,-192.56 86.4,-202.69\"/>\n",
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       "<title>2_1&#45;&gt;2_2</title>\n",
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       "<title>4_0&#45;&gt;4_1</title>\n",
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       "<title>4_2&#45;&gt;4_3</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"2\" d=\"M172.97,-302.4C181.5,-302.4 192.56,-302.4 202.69,-302.4\"/>\n",
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       "<g id=\"edge20\" class=\"edge\">\n",
       "<title>2_5&#45;&gt;2_6</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"2\" d=\"M388.97,-158.4C397.5,-158.4 408.56,-158.4 418.69,-158.4\"/>\n",
       "<polygon fill=\"SteelBlue\" stroke=\"SteelBlue\" stroke-width=\"2\" points=\"418.58,-161.9 428.58,-158.4 418.58,-154.9 418.58,-161.9\"/>\n",
       "</g>\n",
       "<!-- 2_5&#45;&gt;3_5 -->\n",
       "<g id=\"edge21\" class=\"edge\">\n",
       "<title>2_5&#45;&gt;3_5</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"2\" d=\"M374.4,-172.97C374.4,-181.5 374.4,-192.56 374.4,-202.69\"/>\n",
       "<polygon fill=\"SteelBlue\" stroke=\"SteelBlue\" stroke-width=\"2\" points=\"370.9,-202.58 374.4,-212.58 377.9,-202.58 370.9,-202.58\"/>\n",
       "</g>\n",
       "<!-- 3_3&#45;&gt;3_4 -->\n",
       "<g id=\"edge1\" class=\"edge\">\n",
       "<title>3_3&#45;&gt;3_4</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"2\" d=\"M244.97,-230.4C253.5,-230.4 264.56,-230.4 274.69,-230.4\"/>\n",
       "<polygon fill=\"SteelBlue\" stroke=\"SteelBlue\" stroke-width=\"2\" points=\"274.58,-233.9 284.58,-230.4 274.58,-226.9 274.58,-233.9\"/>\n",
       "</g>\n",
       "<!-- 3_3&#45;&gt;4_3 -->\n",
       "<g id=\"edge2\" class=\"edge\">\n",
       "<title>3_3&#45;&gt;4_3</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"2\" d=\"M230.4,-244.97C230.4,-253.5 230.4,-264.56 230.4,-274.69\"/>\n",
       "<polygon fill=\"SteelBlue\" stroke=\"SteelBlue\" stroke-width=\"2\" points=\"226.9,-274.58 230.4,-284.58 233.9,-274.58 226.9,-274.58\"/>\n",
       "</g>\n",
       "</g>\n",
       "</svg>\n"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#% html\n",
    "#$g.vertex-coordinates = {};\n",
    "$g.&neato(node-width=>0.4, node-color=>'Gray', node-shape=>'square')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "-----\n",
    "\n",
    "## Hexagonal grid"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
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.style(\"fill\", \"Ivory\")\n        .text(title);\n}\n\nconst edges = 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highlightSpecs = {};\n\nconst links = edges.map(e => ({\n  source: e.from,\n  target: e.to,\n  weight: e.weight,\n  label: e.label\n}));\n\nconst nodes = Object.keys(vertexCoordinates).map(key => ({\n  id: key,\n  x: vertexCoordinates[key].x,\n  y: vertexCoordinates[key].y\n}));\n\nvar xMin = Math.min.apply(Math, nodes.map(function(o) { return o.x; }))\nvar xMax = Math.max.apply(Math, nodes.map(function(o) { return o.x; }))\n\nvar yMin = Math.min.apply(Math, nodes.map(function(o) { return o.y; }))\nvar yMax = Math.max.apply(Math, nodes.map(function(o) { return o.y; }))\n\n// X scale and Axis\nvar xScale = d3.scaleLinear()\n    .domain([xMin, xMax])\n    .range([0, width]);\n\n// Y scale and Axis\nvar yScale = d3.scaleLinear()\n    .domain([yMin, yMax])\n    .range([height, 0]);\n\nnodes.forEach(node => {\n  node.x = xScale(node.x);\n  node.y = yScale(node.y);\n});\n\nconst link = svg.append(\"g\")\n    .attr(\"class\", \"links\")\n  .selectAll(\"line\")\n  .data(links)\n  .enter().append(\"line\")\n    .attr(\"class\", \"link\")\n    .attr(\"stroke\", d => {\n        for (const [color, items] of Object.entries(highlightSpecs)) {\n            if (items.some(item => Array.isArray(item) && item[0] === d.source && item[1] === d.target)) {\n                return color;\n            }\n        }\n        return \"SteelBlue\";\n    })\n    .attr(\"stroke-width\", 3)\n    .attr(\"x1\", d => nodes.find(n => n.id === d.source).x)\n    .attr(\"y1\", d => nodes.find(n => n.id === d.source).y)\n    .attr(\"x2\", d => nodes.find(n => n.id === d.target).x)\n    .attr(\"y2\", d => nodes.find(n => n.id === d.target).y);\n\nif (isDirected) {\n  link.attr(\"marker-end\", \"url(#arrow)\");\n  svg.append(\"defs\").append(\"marker\")\n    .attr(\"id\", \"arrow\")\n    .attr(\"viewBox\", \"0 -5 10 10\")\n    .attr(\"refX\", 16)\n    .attr(\"refY\", 0)\n    .attr(\"markerWidth\", 5)\n    .attr(\"markerHeight\", 5)\n    .attr(\"orient\", \"auto\")\n    .append(\"path\")\n    .attr(\"d\", \"M0,-5L10,0L0,5\")\n    .attr(\"fill\", \"SteelBlue\");\n}\n\nconst node = svg.append(\"g\")\n    .attr(\"class\", \"nodes\")\n  .selectAll(\"circle\")\n  .data(nodes)\n  .enter().append(\"circle\")\n    .attr(\"class\", \"node\")\n    .attr(\"r\", 6)\n    .attr(\"cx\", d => d.x)\n    .attr(\"cy\", d => d.y)\n    .attr(\"stroke\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .attr(\"fill\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .call(d3.drag()\n      .on(\"start\", dragstarted)\n      .on(\"drag\", dragged)\n      .on(\"end\", dragended));\n\nnode.append(\"title\")\n    .text(d => d.id);\n\nconst nodeLabel = svg.append(\"g\")\n    .attr(\"class\", \"node-labels\")\n  .selectAll(\"text\")\n  .data(nodes)\n  .enter().append(\"text\")\n    .attr(\"class\", \"node-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier New\")\n    .attr(\"font-weight\", 100)\n    .attr(\"dy\", -10)\n    .attr(\"x\", d => d.x)\n    .attr(\"y\", d => d.y)\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.id);\n\nconst linkLabel = svg.append(\"g\")\n    .attr(\"class\", \"link-labels\")\n  .selectAll(\"text\")\n  .data(links)\n  .enter().append(\"text\")\n    .filter(d => d.label !== \"\")\n    .attr(\"class\", \"link-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier New\")\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .attr(\"font-weight\", 100)\n    .attr(\"dy\", -10)\n    .attr(\"x\", d => xScale((vertexCoordinates[d.source].x + vertexCoordinates[d.target].x) / 2))\n    .attr(\"y\", d => yScale((vertexCoordinates[d.source].y + vertexCoordinates[d.target].y) / 2))\n    .text(d => d.label);\n\nfunction dragstarted(event, d) {\n  d3.select(this).raise().attr(\"stroke\", \"SteelBlue\");\n}\n\nfunction dragged(event, d) {\n  d.x = event.x;\n  d.y = event.y;\n  d3.select(this).attr(\"cx\", d.x).attr(\"cy\", d.y);\n  link\n    .attr(\"x1\", l => nodes.find(n => n.id === l.source).x)\n    .attr(\"y1\", l => nodes.find(n => n.id === l.source).y)\n    .attr(\"x2\", l => nodes.find(n => n.id === l.target).x)\n    .attr(\"y2\", l => nodes.find(n => n.id === l.target).y);\n}\n\nfunction dragended(event, d) {\n  d3.select(this).attr(\"stroke\", null);\n}\n\n}) })(element);\n"
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#%js\n",
    "my $g = Graph::HexagonalGrid.new(3, 5, scale => 0.4);\n",
    "\n",
    "$g.edges(:dataset) \n",
    "==> js-d3-graph-plot(\n",
    "    vertex-coordinates => $g.vertex-coordinates,\n",
    "    :$background, \n",
    "    :$title-color, \n",
    "    width => 800, \n",
    "    height => 400, \n",
    "    :$edge-thickness,\n",
    "    :$vertex-size,\n",
    "    directed => $g.directed,\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Graph(vertexes => 46, edges => 60, directed => False)"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "$g"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
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       "</g>\n",
       "<!-- 27&#45;&#45;31 -->\n",
       "<g id=\"edge8\" class=\"edge\">\n",
       "<title>27&#45;&#45;31</title>\n",
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       "</g>\n",
       "<!-- 10 -->\n",
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       "</g>\n",
       "<!-- 10&#45;&#45;6 -->\n",
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       "</g>\n",
       "<!-- 28 -->\n",
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       "<text text-anchor=\"middle\" x=\"359.98\" y=\"-294.93\" font-family=\"Times,serif\" font-size=\"10.00\" fill=\"White\">28</text>\n",
       "</g>\n",
       "<!-- 28&#45;&#45;32 -->\n",
       "<g id=\"edge36\" class=\"edge\">\n",
       "<title>28&#45;&#45;32</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"4\" d=\"M368.67,-293.78C377.83,-288.5 392.16,-280.22 401.28,-274.96\"/>\n",
       "</g>\n",
       "<!-- 12 -->\n",
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       "<text text-anchor=\"middle\" x=\"160.45\" y=\"-294.93\" font-family=\"Times,serif\" font-size=\"10.00\" fill=\"White\">12</text>\n",
       "</g>\n",
       "<!-- 12&#45;&#45;16 -->\n",
       "<g id=\"edge3\" class=\"edge\">\n",
       "<title>12&#45;&#45;16</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"4\" d=\"M169.14,-293.78C178.29,-288.5 192.62,-280.22 201.74,-274.96\"/>\n",
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       "</g>\n",
       "<!-- 26&#45;&#45;30 -->\n",
       "<g id=\"edge21\" class=\"edge\">\n",
       "<title>26&#45;&#45;30</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"4\" d=\"M368.67,-120.98C377.83,-115.7 392.16,-107.42 401.28,-102.16\"/>\n",
       "</g>\n",
       "<!-- 26&#45;&#45;27 -->\n",
       "<g id=\"edge10\" class=\"edge\">\n",
       "<title>26&#45;&#45;27</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"4\" d=\"M359.98,-137.11C359.98,-147.31 359.98,-162.34 359.98,-172.53\"/>\n",
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       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"4\" d=\"M609.4,-223.51C609.4,-233.71 609.4,-248.74 609.4,-258.93\"/>\n",
       "</g>\n",
       "<!-- 14&#45;&#45;18 -->\n",
       "<g id=\"edge43\" class=\"edge\">\n",
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       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"4\" d=\"M219.02,-102.22C228.18,-107.5 242.51,-115.78 251.63,-121.04\"/>\n",
       "</g>\n",
       "<!-- 19&#45;&#45;23 -->\n",
       "<g id=\"edge18\" class=\"edge\">\n",
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       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"4\" d=\"M268.9,-188.62C278.06,-193.9 292.39,-202.18 301.51,-207.44\"/>\n",
       "</g>\n",
       "<!-- 1&#45;&#45;3 -->\n",
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       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"4\" d=\"M19.49,-102.22C28.64,-107.5 42.98,-115.78 52.09,-121.04\"/>\n",
       "</g>\n",
       "<!-- 24&#45;&#45;28 -->\n",
       "<g id=\"edge37\" class=\"edge\">\n",
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       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"4\" d=\"M318.79,-275.02C327.94,-280.3 342.27,-288.58 351.39,-293.84\"/>\n",
       "</g>\n",
       "<!-- 40&#45;&#45;43 -->\n",
       "<g id=\"edge25\" class=\"edge\">\n",
       "<title>40&#45;&#45;43</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"4\" d=\"M518.32,-275.02C527.48,-280.3 541.81,-288.58 550.92,-293.84\"/>\n",
       "</g>\n",
       "<!-- 4&#45;&#45;7 -->\n",
       "<g id=\"edge35\" class=\"edge\">\n",
       "<title>4&#45;&#45;7</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"4\" d=\"M69.37,-188.62C78.53,-193.9 92.86,-202.18 101.98,-207.44\"/>\n",
       "</g>\n",
       "<!-- 22&#45;&#45;26 -->\n",
       "<g id=\"edge20\" class=\"edge\">\n",
       "<title>22&#45;&#45;26</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"4\" d=\"M318.79,-102.22C327.94,-107.5 342.27,-115.78 351.39,-121.04\"/>\n",
       "</g>\n",
       "</g>\n",
       "</svg>\n"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#% html\n",
    "$g.dot(\n",
    "    :$background,\n",
    "    :node-labels,\n",
    "    node-width => .3,\n",
    "    node-height => .3,\n",
    "    node-shape => 'hexagon',\n",
    "    node-color => 'Ivory',\n",
    "    node-penwidth => 1,\n",
    "    node-fill-color => 'SlateBlue',\n",
    "    node-font-size => 10,\n",
    "    edge-thickness => 4,\n",
    "    :$engine, \n",
    "    graph-size => (8,8)\n",
    "):svg"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "-----\n",
    "\n",
    "## Hypercube"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": "(function(element) { require(['d3'], function(d3) {\n\n// set the dimensions and margins of the graph\nvar margin = {\"bottom\":40,\"top\":40,\"left\":40,\"right\":40},\n    width = 600 - margin.left - margin.right,\n    height = 371 - margin.top - margin.bottom;\n\n// append the svg object to the body of the page\nvar svg = d3\n   .select(element.get(0))\n  .append(\"svg\")\n    .attr(\"width\", width + margin.left + margin.right)\n    .attr(\"height\", height + margin.top + margin.bottom)\n    .style(\"background\", \"#1F1F1F\")\n  .append(\"g\")\n    .attr(\"transform\",\n          \"translate(\" + margin.left + \",\" + margin.top + \")\")\n\n// Obtain title\nvar title = \"\"\nvar titleFontSize = 16\n\nif ( title.length > 0 ) {\n    svg.append(\"text\")\n        .attr(\"x\", (width / 2))\n        .attr(\"y\", 0 - (margin.top / 2))\n        .attr(\"text-anchor\", \"middle\")\n        .style(\"font-size\", titleFontSize.toString() + \"px\")\n        .style(\"fill\", \"Ivory\")\n        .text(title);\n}\n\nconst edges = [{\"from\":\"011\",\"weight\":1,\"label\":\"\",\"to\":\"111\"},{\"to\":\"111\",\"from\":\"110\",\"weight\":1,\"label\":\"\"},{\"weight\":1,\"to\":\"111\",\"from\":\"101\",\"label\":\"\"},{\"from\":\"100\",\"to\":\"101\",\"label\":\"\",\"weight\":1},{\"weight\":1,\"from\":\"001\",\"to\":\"101\",\"label\":\"\"},{\"from\":\"010\",\"to\":\"011\",\"weight\":1,\"label\":\"\"},{\"label\":\"\",\"to\":\"011\",\"weight\":1,\"from\":\"001\"},{\"weight\":1,\"label\":\"\",\"from\":\"000\",\"to\":\"001\"},{\"to\":\"010\",\"from\":\"000\",\"label\":\"\",\"weight\":1},{\"from\":\"010\",\"label\":\"\",\"to\":\"110\",\"weight\":1},{\"weight\":1,\"to\":\"100\",\"from\":\"000\",\"label\":\"\"},{\"label\":\"\",\"from\":\"100\",\"weight\":1,\"to\":\"110\"}];\n\nconst nodes = Array.from(new Set(edges.flatMap(e => [e.from, e.to])), id => ({id}));\n\nconst highlightSpecs = {};\n\nconst links = edges.map(e => ({\n  source: e.from,\n  target: e.to,\n  weight: e.weight,\n  label: e.label,\n}));\n\n//.force(\"link\", d3.forceLink(links).id(d => d.id).distance(d => Math.max(d.weight * 20, 6 * 4)))\nconst simulation = d3.forceSimulation(nodes)\n    .force(\"link\", d3.forceLink(links).id(d => d.id).distance(0).iterations(1))\n    .force(\"charge\", d3.forceManyBody().strength(-2000).distanceMin(1).distanceMax(2000))\n    .force(\"x\", d3.forceX())\n    .force(\"y\", d3.forceY())\n    .force(\"collision\", d3.forceCollide().radius(60))\n    .force(\"center\", d3.forceCenter(width / 2, height / 2));\n\nsvg.append('defs').append('marker')\n    .attr(\"id\",'arrowhead')\n    .attr('viewBox','-0 -5 10 10') //the bound of the SVG viewport for the current SVG fragment. defines a coordinate system 10 wide and 10 high starting on (0,-5)\n     .attr('refX', 16) // x coordinate for the reference point of the marker. If circle is bigger, this need to be bigger.\n     .attr('refY',0)\n     .attr('orient','auto')\n        .attr('markerWidth', 5)\n        .attr('markerHeight', 5)\n        .attr('xoverflow','visible')\n    .append('svg:path')\n    .attr('d', 'M 0,-5 L 10 ,0 L 0,5')\n    .attr('fill', \"SteelBlue\")\n    .style('stroke','none');\n\nconst link = svg.append(\"g\")\n    .attr(\"class\", \"links\")\n  .selectAll(\"line\")\n  .data(links)\n  .enter().append(\"line\")\n    .attr(\"class\", \"link\")\n    .attr(\"stroke\", d => {\n        for (const [color, items] of Object.entries(highlightSpecs)) {\n            if (items.some(item => Array.isArray(item) && item[0] === d.source.id && item[1] === d.target.id)) {\n                return color;\n            }\n        }\n        return \"SteelBlue\";\n    })\n    .attr(\"stroke-width\", 3)\n    \n\nconst node = svg.append(\"g\")\n    .attr(\"class\", \"nodes\")\n  .selectAll(\"circle\")\n  .data(nodes)\n  .enter().append(\"circle\")\n    .attr(\"class\", \"node\")\n    .attr(\"r\", 6)\n    .attr(\"stroke\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .attr(\"fill\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .call(drag(simulation));\n\nnode.append(\"title\")\n    .text(d => d.id);\n\nconst nodeLabel = svg.append(\"g\")\n    .attr(\"class\", \"node-labels\")\n  .selectAll(\"text\")\n  .data(nodes)\n  .enter().append(\"text\")\n    .attr(\"class\", \"node-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier New\")\n    .attr(\"font-weight\", 100)\n    .attr(\"dy\", -10)\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.id);\n\nconst linkLabel = svg.append(\"g\")\n    .attr(\"class\", \"link-labels\")\n  .selectAll(\"text\")\n  .data(links)\n  .enter().append(\"text\")\n    .filter(d => d.label !== \"\")\n    .attr(\"class\", \"link-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier\")\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.label);\n\nsimulation.on(\"tick\", () => {\n  link\n      .attr(\"x1\", d => d.source.x)\n      .attr(\"y1\", d => d.source.y)\n      .attr(\"x2\", d => d.target.x)\n      .attr(\"y2\", d => d.target.y);\n\n  node\n      .attr(\"cx\", d => d.x)\n      .attr(\"cy\", d => d.y);\n\n  nodeLabel\n      .attr(\"x\", d => d.x)\n      .attr(\"y\", d => d.y);\n\n  linkLabel\n      .attr(\"x\", d => (d.source.x + d.target.x) / 2)\n      .attr(\"y\", d => (d.source.y + d.target.y) / 2);\n});\n\nfunction drag(simulation) {\n  function dragstarted(event, d) {\n    if (!event.active) simulation.alphaTarget(0.3).restart();\n    d.fx = d.x;\n    d.fy = d.y;\n  }\n\n  function dragged(event, d) {\n    d.fx = event.x;\n    d.fy = event.y;\n  }\n\n  function dragended(event, d) {\n    if (!event.active) simulation.alphaTarget(0);\n    d.fx = null;\n    d.fy = null;\n  }\n\n  return d3.drag()\n      .on(\"start\", dragstarted)\n      .on(\"drag\", dragged)\n      .on(\"end\", dragended);\n}\n\n}) })(element);\n"
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#%js\n",
    "my $g = Graph::Hypercube.new(3);\n",
    "\n",
    "$g.edges(:dataset) \n",
    "==> js-d3-graph-plot(\n",
    "    :$background, \n",
    "    :$title-color, \n",
    "    width => 600, \n",
    "    :$edge-thickness,\n",
    "    :$vertex-size,\n",
    "    directed => $g.directed,\n",
    "    force => {charge => {strength => -2000, iterations => 2}, collision => {radius => 60, iterations => 1}, link => {distance => 0}}\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
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       "</g>\n",
       "</svg>\n"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#% html\n",
    "$g.&sfdp"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "------\n",
    "\n",
    "## Index(ed) graph"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "data": {
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      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#% html\n",
    "my $g = Graph::Grid.new(3,5);\n",
    "Graph::Indexed.new($g,100).dot(:$background, engine => 'neato'):svg"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "-----\n",
    "\n",
    "## Knight tour"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": "(function(element) { require(['d3'], function(d3) {\n\n// set the dimensions and margins of the graph\nvar margin = {\"bottom\":40,\"top\":40,\"left\":40,\"right\":40},\n    width = 800 - margin.left - margin.right,\n    height = 494 - margin.top - margin.bottom;\n\n// append the svg object to the body of the page\nvar svg = d3\n   .select(element.get(0))\n  .append(\"svg\")\n    .attr(\"width\", width + margin.left + margin.right)\n    .attr(\"height\", height + margin.top + margin.bottom)\n    .style(\"background\", \"#1F1F1F\")\n  .append(\"g\")\n    .attr(\"transform\",\n          \"translate(\" + margin.left + \",\" + margin.top + \")\")\n\n// Obtain title\nvar title = \"\"\nvar titleFontSize = 16\n\nif ( title.length > 0 ) {\n    svg.append(\"text\")\n        .attr(\"x\", (width / 2))\n        .attr(\"y\", 0 - (margin.top / 2))\n        .attr(\"text-anchor\", \"middle\")\n        .style(\"font-size\", titleFontSize.toString() + \"px\")\n        .style(\"fill\", \"Ivory\")\n        .text(title);\n}\n\nconst edges = [{\"to\":\"node:3_2\",\"from\":\"node:2_4\",\"label\":\"\",\"weight\":1},{\"from\":\"node:0_5\",\"to\":\"node:2_4\",\"label\":\"\",\"weight\":1},{\"from\":\"node:1_6\",\"to\":\"node:2_4\",\"label\":\"\",\"weight\":1},{\"to\":\"node:4_5\",\"weight\":1,\"from\":\"node:2_4\",\"label\":\"\"},{\"label\":\"\",\"to\":\"node:4_3\",\"weight\":1,\"from\":\"node:2_4\"},{\"to\":\"node:3_6\",\"from\":\"node:2_4\",\"weight\":1,\"label\":\"\"},{\"label\":\"\",\"weight\":1,\"from\":\"node:1_2\",\"to\":\"node:2_4\"},{\"from\":\"node:3_5\",\"label\":\"\",\"weight\":1,\"to\":\"node:4_3\"},{\"label\":\"\",\"to\":\"node:5_5\",\"from\":\"node:4_3\",\"weight\":1},{\"to\":\"node:6_4\",\"weight\":1,\"label\":\"\",\"from\":\"node:4_3\"},{\"from\":\"node:4_3\",\"to\":\"node:6_2\",\"weight\":1,\"label\":\"\"},{\"weight\":1,\"label\":\"\",\"to\":\"node:5_1\",\"from\":\"node:4_3\"},{\"weight\":1,\"to\":\"node:4_3\",\"from\":\"node:3_1\",\"label\":\"\"},{\"to\":\"node:7_0\",\"weight\":1,\"label\":\"\",\"from\":\"node:5_1\"},{\"label\":\"\",\"from\":\"node:6_2\",\"weight\":1,\"to\":\"node:7_0\"},{\"from\":\"node:5_3\",\"label\":\"\",\"weight\":1,\"to\":\"node:6_1\"},{\"from\":\"node:4_2\",\"to\":\"node:6_1\",\"weight\":1,\"label\":\"\"},{\"weight\":1,\"label\":\"\",\"to\":\"node:7_3\",\"from\":\"node:6_1\"},{\"weight\":1,\"from\":\"node:0_4\",\"to\":\"node:1_2\",\"label\":\"\"},{\"weight\":1,\"to\":\"node:1_6\",\"label\":\"\",\"from\":\"node:0_4\"},{\"weight\":1,\"label\":\"\",\"from\":\"node:0_4\",\"to\":\"node:2_3\"},{\"label\":\"\",\"weight\":1,\"to\":\"node:2_5\",\"from\":\"node:0_4\"},{\"label\":\"\",\"to\":\"node:5_5\",\"weight\":1,\"from\":\"node:4_7\"},{\"to\":\"node:4_7\",\"label\":\"\",\"from\":\"node:3_5\",\"weight\":1},{\"to\":\"node:6_6\",\"label\":\"\",\"weight\":1,\"from\":\"node:4_7\"},{\"to\":\"node:7_5\",\"from\":\"node:6_7\",\"label\":\"\",\"weight\":1},{\"to\":\"node:7_5\",\"label\":\"\",\"from\":\"node:5_6\",\"weight\":1},{\"from\":\"node:6_3\",\"weight\":1,\"label\":\"\",\"to\":\"node:7_5\"},{\"weight\":1,\"to\":\"node:7_4\",\"from\":\"node:5_5\",\"label\":\"\"},{\"from\":\"node:5_5\",\"label\":\"\",\"weight\":1,\"to\":\"node:6_7\"},{\"to\":\"node:7_6\",\"label\":\"\",\"weight\":1,\"from\":\"node:5_5\"},{\"from\":\"node:3_6\",\"to\":\"node:5_5\",\"weight\":1,\"label\":\"\"},{\"label\":\"\",\"from\":\"node:5_5\",\"weight\":1,\"to\":\"node:6_3\"},{\"label\":\"\",\"weight\":1,\"from\":\"node:6_5\",\"to\":\"node:7_7\"},{\"label\":\"\",\"to\":\"node:3_0\",\"from\":\"node:2_2\",\"weight\":1},{\"label\":\"\",\"from\":\"node:1_1\",\"to\":\"node:3_0\",\"weight\":1},{\"weight\":1,\"to\":\"node:5_1\",\"label\":\"\",\"from\":\"node:3_0\"},{\"label\":\"\",\"to\":\"node:4_2\",\"weight\":1,\"from\":\"node:3_0\"},{\"from\":\"node:2_7\",\"weight\":1,\"to\":\"node:3_5\",\"label\":\"\"},{\"to\":\"node:4_6\",\"from\":\"node:2_7\",\"label\":\"\",\"weight\":1},{\"to\":\"node:2_7\",\"weight\":1,\"label\":\"\",\"from\":\"node:1_5\"},{\"from\":\"node:0_6\",\"label\":\"\",\"weight\":1,\"to\":\"node:1_4\"},{\"weight\":1,\"label\":\"\",\"from\":\"node:0_6\",\"to\":\"node:2_7\"},{\"label\":\"\",\"from\":\"node:0_6\",\"weight\":1,\"to\":\"node:2_5\"},{\"weight\":1,\"label\":\"\",\"from\":\"node:2_2\",\"to\":\"node:3_4\"},{\"label\":\"\",\"to\":\"node:4_3\",\"weight\":1,\"from\":\"node:2_2\"},{\"weight\":1,\"to\":\"node:2_2\",\"label\":\"\",\"from\":\"node:1_0\"},{\"to\":\"node:4_1\",\"weight\":1,\"label\":\"\",\"from\":\"node:2_2\"},{\"weight\":1,\"to\":\"node:2_2\",\"label\":\"\",\"from\":\"node:1_4\"},{\"from\":\"node:0_3\",\"to\":\"node:2_2\",\"weight\":1,\"label\":\"\"},{\"from\":\"node:2_3\",\"weight\":1,\"label\":\"\",\"to\":\"node:4_4\"},{\"from\":\"node:2_3\",\"weight\":1,\"label\":\"\",\"to\":\"node:4_2\"},{\"to\":\"node:3_5\",\"label\":\"\",\"from\":\"node:2_3\",\"weight\":1},{\"label\":\"\",\"weight\":1,\"from\":\"node:2_3\",\"to\":\"node:3_1\"},{\"label\":\"\",\"from\":\"node:1_5\",\"weight\":1,\"to\":\"node:2_3\"},{\"label\":\"\",\"to\":\"node:2_3\",\"from\":\"node:1_1\",\"weight\":1},{\"weight\":1,\"label\":\"\",\"from\":\"node:0_0\",\"to\":\"node:1_2\"},{\"weight\":1,\"label\":\"\",\"from\":\"node:0_0\",\"to\":\"node:2_1\"},{\"label\":\"\",\"from\":\"node:4_4\",\"weight\":1,\"to\":\"node:5_2\"},{\"to\":\"node:7_1\",\"from\":\"node:5_2\",\"label\":\"\",\"weight\":1},{\"from\":\"node:5_2\",\"weight\":1,\"to\":\"node:6_4\",\"label\":\"\"},{\"from\":\"node:3_3\",\"label\":\"\",\"weight\":1,\"to\":\"node:5_2\"},{\"label\":\"\",\"to\":\"node:7_3\",\"from\":\"node:5_2\",\"weight\":1},{\"to\":\"node:5_2\",\"weight\":1,\"label\":\"\",\"from\":\"node:4_0\"},{\"label\":\"\",\"weight\":1,\"from\":\"node:5_2\",\"to\":\"node:6_0\"},{\"weight\":1,\"label\":\"\",\"to\":\"node:5_7\",\"from\":\"node:4_5\"},{\"weight\":1,\"label\":\"\",\"from\":\"node:5_7\",\"to\":\"node:6_5\"},{\"weight\":1,\"to\":\"node:7_6\",\"label\":\"\",\"from\":\"node:5_7\"},{\"label\":\"\",\"weight\":1,\"from\":\"node:2_6\",\"to\":\"node:4_5\"},{\"weight\":1,\"label\":\"\",\"to\":\"node:6_6\",\"from\":\"node:4_5\"},{\"label\":\"\",\"to\":\"node:4_5\",\"weight\":1,\"from\":\"node:3_3\"},{\"from\":\"node:4_5\",\"to\":\"node:5_3\",\"label\":\"\",\"weight\":1},{\"weight\":1,\"label\":\"\",\"to\":\"node:6_4\",\"from\":\"node:4_5\"},{\"weight\":1,\"from\":\"node:3_7\",\"to\":\"node:4_5\",\"label\":\"\"},{\"from\":\"node:0_3\",\"label\":\"\",\"to\":\"node:1_1\",\"weight\":1},{\"from\":\"node:0_3\",\"to\":\"node:1_5\",\"weight\":1,\"label\":\"\"},{\"to\":\"node:2_4\",\"label\":\"\",\"from\":\"node:0_3\",\"weight\":1},{\"to\":\"node:7_4\",\"from\":\"node:6_6\",\"weight\":1,\"label\":\"\"},{\"to\":\"node:6_6\",\"label\":\"\",\"from\":\"node:5_4\",\"weight\":1},{\"label\":\"\",\"from\":\"node:1_1\",\"to\":\"node:3_2\",\"weight\":1},{\"to\":\"node:5_4\",\"label\":\"\",\"from\":\"node:4_6\",\"weight\":1},{\"weight\":1,\"label\":\"\",\"from\":\"node:5_4\",\"to\":\"node:7_3\"},{\"to\":\"node:7_5\",\"weight\":1,\"label\":\"\",\"from\":\"node:5_4\"},{\"weight\":1,\"from\":\"node:4_2\",\"label\":\"\",\"to\":\"node:5_4\"},{\"label\":\"\",\"weight\":1,\"to\":\"node:5_4\",\"from\":\"node:3_5\"},{\"label\":\"\",\"from\":\"node:5_4\",\"weight\":1,\"to\":\"node:6_2\"},{\"weight\":1,\"label\":\"\",\"from\":\"node:4_6\",\"to\":\"node:6_5\"},{\"weight\":1,\"to\":\"node:7_3\",\"label\":\"\",\"from\":\"node:6_5\"},{\"label\":\"\",\"weight\":1,\"to\":\"node:6_5\",\"from\":\"node:5_3\"},{\"label\":\"\",\"from\":\"node:6_4\",\"weight\":1,\"to\":\"node:7_6\"},{\"from\":\"node:6_4\",\"to\":\"node:7_2\",\"weight\":1,\"label\":\"\"},{\"from\":\"node:5_6\",\"label\":\"\",\"to\":\"node:6_4\",\"weight\":1},{\"to\":\"node:4_2\",\"from\":\"node:3_4\",\"weight\":1,\"label\":\"\"},{\"label\":\"\",\"from\":\"node:2_6\",\"to\":\"node:3_4\",\"weight\":1},{\"to\":\"node:5_5\",\"from\":\"node:3_4\",\"label\":\"\",\"weight\":1},{\"from\":\"node:3_4\",\"to\":\"node:5_3\",\"weight\":1,\"label\":\"\"},{\"weight\":1,\"to\":\"node:4_6\",\"label\":\"\",\"from\":\"node:3_4\"},{\"weight\":1,\"label\":\"\",\"to\":\"node:3_4\",\"from\":\"node:1_5\"},{\"label\":\"\",\"from\":\"node:6_2\",\"weight\":1,\"to\":\"node:7_4\"},{\"weight\":1,\"from\":\"node:0_2\",\"to\":\"node:1_4\",\"label\":\"\"},{\"to\":\"node:2_3\",\"label\":\"\",\"from\":\"node:0_2\",\"weight\":1},{\"to\":\"node:1_0\",\"label\":\"\",\"weight\":1,\"from\":\"node:0_2\"},{\"weight\":1,\"from\":\"node:0_2\",\"to\":\"node:2_1\",\"label\":\"\"},{\"weight\":1,\"label\":\"\",\"from\":\"node:2_5\",\"to\":\"node:4_4\"},{\"from\":\"node:2_5\",\"weight\":1,\"label\":\"\",\"to\":\"node:3_3\"},{\"from\":\"node:2_5\",\"weight\":1,\"label\":\"\",\"to\":\"node:4_6\"},{\"weight\":1,\"from\":\"node:1_7\",\"to\":\"node:2_5\",\"label\":\"\"},{\"to\":\"node:2_5\",\"from\":\"node:1_3\",\"weight\":1,\"label\":\"\"},{\"to\":\"node:3_7\",\"from\":\"node:2_5\",\"weight\":1,\"label\":\"\"},{\"weight\":1,\"from\":\"node:1_3\",\"to\":\"node:3_2\",\"label\":\"\"},{\"from\":\"node:3_2\",\"weight\":1,\"to\":\"node:4_0\",\"label\":\"\"},{\"weight\":1,\"label\":\"\",\"from\":\"node:3_2\",\"to\":\"node:4_4\"},{\"from\":\"node:3_2\",\"to\":\"node:5_1\",\"weight\":1,\"label\":\"\"},{\"label\":\"\",\"to\":\"node:3_2\",\"from\":\"node:2_0\",\"weight\":1},{\"from\":\"node:3_2\",\"label\":\"\",\"weight\":1,\"to\":\"node:5_3\"},{\"from\":\"node:0_5\",\"to\":\"node:1_7\",\"weight\":1,\"label\":\"\"},{\"label\":\"\",\"to\":\"node:3_6\",\"weight\":1,\"from\":\"node:1_7\"},{\"weight\":1,\"from\":\"node:2_1\",\"label\":\"\",\"to\":\"node:4_0\"},{\"label\":\"\",\"weight\":1,\"from\":\"node:4_0\",\"to\":\"node:6_1\"},{\"label\":\"\",\"to\":\"node:2_6\",\"weight\":1,\"from\":\"node:0_7\"},{\"from\":\"node:0_7\",\"to\":\"node:1_5\",\"label\":\"\",\"weight\":1},{\"weight\":1,\"to\":\"node:2_2\",\"label\":\"\",\"from\":\"node:0_1\"},{\"weight\":1,\"label\":\"\",\"to\":\"node:1_3\",\"from\":\"node:0_1\"},{\"to\":\"node:2_0\",\"label\":\"\",\"from\":\"node:0_1\",\"weight\":1},{\"to\":\"node:3_3\",\"weight\":1,\"label\":\"\",\"from\":\"node:1_4\"},{\"label\":\"\",\"weight\":1,\"to\":\"node:5_4\",\"from\":\"node:3_3\"},{\"to\":\"node:4_1\",\"weight\":1,\"from\":\"node:3_3\",\"label\":\"\"},{\"to\":\"node:3_3\",\"from\":\"node:2_1\",\"weight\":1,\"label\":\"\"},{\"to\":\"node:6_0\",\"weight\":1,\"label\":\"\",\"from\":\"node:4_1\"},{\"to\":\"node:7_2\",\"label\":\"\",\"weight\":1,\"from\":\"node:6_0\"},{\"weight\":1,\"from\":\"node:6_3\",\"label\":\"\",\"to\":\"node:7_1\"},{\"weight\":1,\"from\":\"node:4_4\",\"to\":\"node:6_3\",\"label\":\"\"},{\"label\":\"\",\"weight\":1,\"to\":\"node:6_3\",\"from\":\"node:5_1\"},{\"weight\":1,\"from\":\"node:5_0\",\"label\":\"\",\"to\":\"node:7_1\"},{\"to\":\"node:5_0\",\"from\":\"node:3_1\",\"label\":\"\",\"weight\":1},{\"from\":\"node:5_0\",\"label\":\"\",\"to\":\"node:6_2\",\"weight\":1},{\"from\":\"node:4_2\",\"label\":\"\",\"to\":\"node:5_0\",\"weight\":1},{\"to\":\"node:2_6\",\"weight\":1,\"from\":\"node:1_4\",\"label\":\"\"},{\"from\":\"node:2_6\",\"weight\":1,\"to\":\"node:4_7\",\"label\":\"\"},{\"weight\":1,\"to\":\"node:4_1\",\"label\":\"\",\"from\":\"node:2_0\"},{\"label\":\"\",\"from\":\"node:1_2\",\"weight\":1,\"to\":\"node:2_0\"},{\"to\":\"node:4_4\",\"weight\":1,\"from\":\"node:3_6\",\"label\":\"\"},{\"to\":\"node:5_7\",\"weight\":1,\"from\":\"node:3_6\",\"label\":\"\"},{\"label\":\"\",\"from\":\"node:1_6\",\"to\":\"node:3_5\",\"weight\":1},{\"from\":\"node:1_6\",\"label\":\"\",\"to\":\"node:3_7\",\"weight\":1},{\"weight\":1,\"to\":\"node:2_1\",\"label\":\"\",\"from\":\"node:1_3\"},{\"label\":\"\",\"from\":\"node:0_5\",\"weight\":1,\"to\":\"node:1_3\"},{\"weight\":1,\"from\":\"node:1_3\",\"to\":\"node:3_4\",\"label\":\"\"},{\"from\":\"node:5_1\",\"to\":\"node:7_2\",\"label\":\"\",\"weight\":1},{\"weight\":1,\"label\":\"\",\"to\":\"node:5_3\",\"from\":\"node:4_1\"},{\"label\":\"\",\"to\":\"node:7_2\",\"from\":\"node:5_3\",\"weight\":1},{\"label\":\"\",\"to\":\"node:7_4\",\"weight\":1,\"from\":\"node:5_3\"},{\"weight\":1,\"from\":\"node:5_6\",\"to\":\"node:7_7\",\"label\":\"\"},{\"to\":\"node:5_6\",\"from\":\"node:4_4\",\"weight\":1,\"label\":\"\"},{\"label\":\"\",\"to\":\"node:5_6\",\"from\":\"node:3_7\",\"weight\":1},{\"to\":\"node:2_6\",\"weight\":1,\"from\":\"node:0_5\",\"label\":\"\"},{\"from\":\"node:2_1\",\"to\":\"node:4_2\",\"label\":\"\",\"weight\":1},{\"weight\":1,\"label\":\"\",\"from\":\"node:1_0\",\"to\":\"node:3_1\"},{\"from\":\"node:1_4\",\"to\":\"node:3_5\",\"weight\":1,\"label\":\"\"},{\"weight\":1,\"label\":\"\",\"from\":\"node:4_1\",\"to\":\"node:6_2\"},{\"label\":\"\",\"weight\":1,\"to\":\"node:6_5\",\"from\":\"node:4_4\"},{\"label\":\"\",\"from\":\"node:1_2\",\"weight\":1,\"to\":\"node:3_3\"},{\"label\":\"\",\"weight\":1,\"from\":\"node:1_2\",\"to\":\"node:3_1\"},{\"from\":\"node:4_6\",\"to\":\"node:6_7\",\"weight\":1,\"label\":\"\"},{\"to\":\"node:3_6\",\"from\":\"node:1_5\",\"weight\":1,\"label\":\"\"},{\"from\":\"node:3_1\",\"label\":\"\",\"to\":\"node:5_2\",\"weight\":1},{\"label\":\"\",\"to\":\"node:6_3\",\"weight\":1,\"from\":\"node:4_2\"},{\"from\":\"node:3_5\",\"label\":\"\",\"to\":\"node:5_6\",\"weight\":1}];\n\nconst isDirected = false;\n\nconst vertexCoordinates = {\"node:4_2\":{\"y\":2,\"x\":4},\"node:5_6\":{\"y\":6,\"x\":5},\"node:1_5\":{\"x\":1,\"y\":5},\"node:4_5\":{\"y\":5,\"x\":4},\"node:2_3\":{\"y\":3,\"x\":2},\"node:5_3\":{\"y\":3,\"x\":5},\"node:2_6\":{\"y\":6,\"x\":2},\"node:1_6\":{\"y\":6,\"x\":1},\"node:5_7\":{\"y\":7,\"x\":5},\"node:1_3\":{\"x\":1,\"y\":3},\"node:0_3\":{\"x\":0,\"y\":3},\"node:3_4\":{\"x\":3,\"y\":4},\"node:1_1\":{\"x\":1,\"y\":1},\"node:7_6\":{\"y\":6,\"x\":7},\"node:6_2\":{\"y\":2,\"x\":6},\"node:7_2\":{\"y\":2,\"x\":7},\"node:3_0\":{\"y\":0,\"x\":3},\"node:0_4\":{\"x\":0,\"y\":4},\"node:5_2\":{\"y\":2,\"x\":5},\"node:2_0\":{\"y\":0,\"x\":2},\"node:4_7\":{\"y\":7,\"x\":4},\"node:3_6\":{\"x\":3,\"y\":6},\"node:5_5\":{\"y\":5,\"x\":5},\"node:4_0\":{\"y\":0,\"x\":4},\"node:6_0\":{\"x\":6,\"y\":0},\"node:6_4\":{\"y\":4,\"x\":6},\"node:0_2\":{\"x\":0,\"y\":2},\"node:5_1\":{\"y\":1,\"x\":5},\"node:3_5\":{\"y\":5,\"x\":3},\"node:2_5\":{\"x\":2,\"y\":5},\"node:7_5\":{\"x\":7,\"y\":5},\"node:1_7\":{\"y\":7,\"x\":1},\"node:7_0\":{\"y\":0,\"x\":7},\"node:3_3\":{\"x\":3,\"y\":3},\"node:6_3\":{\"y\":3,\"x\":6},\"node:0_7\":{\"x\":0,\"y\":7},\"node:6_5\":{\"y\":5,\"x\":6},\"node:7_3\":{\"x\":7,\"y\":3},\"node:5_0\":{\"y\":0,\"x\":5},\"node:4_3\":{\"x\":4,\"y\":3},\"node:3_1\":{\"x\":3,\"y\":1},\"node:7_1\":{\"y\":1,\"x\":7},\"node:0_5\":{\"x\":0,\"y\":5},\"node:3_2\":{\"y\":2,\"x\":3},\"node:4_1\":{\"y\":1,\"x\":4},\"node:2_2\":{\"y\":2,\"x\":2},\"node:7_7\":{\"y\":7,\"x\":7},\"node:4_4\":{\"y\":4,\"x\":4},\"node:3_7\":{\"x\":3,\"y\":7},\"node:6_6\":{\"x\":6,\"y\":6},\"node:6_7\":{\"x\":6,\"y\":7},\"node:0_1\":{\"y\":1,\"x\":0},\"node:0_6\":{\"x\":0,\"y\":6},\"node:4_6\":{\"y\":6,\"x\":4},\"node:2_1\":{\"y\":1,\"x\":2},\"node:0_0\":{\"y\":0,\"x\":0},\"node:6_1\":{\"y\":1,\"x\":6},\"node:7_4\":{\"x\":7,\"y\":4},\"node:5_4\":{\"y\":4,\"x\":5},\"node:2_4\":{\"x\":2,\"y\":4},\"node:1_4\":{\"x\":1,\"y\":4},\"node:1_2\":{\"y\":2,\"x\":1},\"node:1_0\":{\"y\":0,\"x\":1},\"node:2_7\":{\"y\":7,\"x\":2}};\n\nconst highlightSpecs = {};\n\nconst links = edges.map(e => ({\n  source: e.from,\n  target: e.to,\n  weight: e.weight,\n  label: e.label\n}));\n\nconst nodes = Object.keys(vertexCoordinates).map(key => ({\n  id: key,\n  x: vertexCoordinates[key].x,\n  y: vertexCoordinates[key].y\n}));\n\nvar xMin = Math.min.apply(Math, nodes.map(function(o) { return o.x; }))\nvar xMax = Math.max.apply(Math, nodes.map(function(o) { return o.x; }))\n\nvar yMin = Math.min.apply(Math, nodes.map(function(o) { return o.y; }))\nvar yMax = Math.max.apply(Math, nodes.map(function(o) { return o.y; }))\n\n// X scale and Axis\nvar xScale = d3.scaleLinear()\n    .domain([xMin, xMax])\n    .range([0, width]);\n\n// Y scale and Axis\nvar yScale = d3.scaleLinear()\n    .domain([yMin, yMax])\n    .range([height, 0]);\n\nnodes.forEach(node => {\n  node.x = xScale(node.x);\n  node.y = yScale(node.y);\n});\n\nconst link = svg.append(\"g\")\n    .attr(\"class\", \"links\")\n  .selectAll(\"line\")\n  .data(links)\n  .enter().append(\"line\")\n    .attr(\"class\", \"link\")\n    .attr(\"stroke\", d => {\n        for (const [color, items] of Object.entries(highlightSpecs)) {\n            if (items.some(item => Array.isArray(item) && item[0] === d.source && item[1] === d.target)) {\n                return color;\n            }\n        }\n        return \"SteelBlue\";\n    })\n    .attr(\"stroke-width\", 3)\n    .attr(\"x1\", d => nodes.find(n => n.id === d.source).x)\n    .attr(\"y1\", d => nodes.find(n => n.id === d.source).y)\n    .attr(\"x2\", d => nodes.find(n => n.id === d.target).x)\n    .attr(\"y2\", d => nodes.find(n => n.id === d.target).y);\n\nif (isDirected) {\n  link.attr(\"marker-end\", \"url(#arrow)\");\n  svg.append(\"defs\").append(\"marker\")\n    .attr(\"id\", \"arrow\")\n    .attr(\"viewBox\", \"0 -5 10 10\")\n    .attr(\"refX\", 16)\n    .attr(\"refY\", 0)\n    .attr(\"markerWidth\", 5)\n    .attr(\"markerHeight\", 5)\n    .attr(\"orient\", \"auto\")\n    .append(\"path\")\n    .attr(\"d\", \"M0,-5L10,0L0,5\")\n    .attr(\"fill\", \"SteelBlue\");\n}\n\nconst node = svg.append(\"g\")\n    .attr(\"class\", \"nodes\")\n  .selectAll(\"circle\")\n  .data(nodes)\n  .enter().append(\"circle\")\n    .attr(\"class\", \"node\")\n    .attr(\"r\", 6)\n    .attr(\"cx\", d => d.x)\n    .attr(\"cy\", d => d.y)\n    .attr(\"stroke\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .attr(\"fill\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .call(d3.drag()\n      .on(\"start\", dragstarted)\n      .on(\"drag\", dragged)\n      .on(\"end\", dragended));\n\nnode.append(\"title\")\n    .text(d => d.id);\n\nconst nodeLabel = svg.append(\"g\")\n    .attr(\"class\", \"node-labels\")\n  .selectAll(\"text\")\n  .data(nodes)\n  .enter().append(\"text\")\n    .attr(\"class\", \"node-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier New\")\n    .attr(\"font-weight\", 100)\n    .attr(\"dy\", -10)\n    .attr(\"x\", d => d.x)\n    .attr(\"y\", d => d.y)\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.id);\n\nconst linkLabel = svg.append(\"g\")\n    .attr(\"class\", \"link-labels\")\n  .selectAll(\"text\")\n  .data(links)\n  .enter().append(\"text\")\n    .filter(d => d.label !== \"\")\n    .attr(\"class\", \"link-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier New\")\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .attr(\"font-weight\", 100)\n    .attr(\"dy\", -10)\n    .attr(\"x\", d => xScale((vertexCoordinates[d.source].x + vertexCoordinates[d.target].x) / 2))\n    .attr(\"y\", d => yScale((vertexCoordinates[d.source].y + vertexCoordinates[d.target].y) / 2))\n    .text(d => d.label);\n\nfunction dragstarted(event, d) {\n  d3.select(this).raise().attr(\"stroke\", \"SteelBlue\");\n}\n\nfunction dragged(event, d) {\n  d.x = event.x;\n  d.y = event.y;\n  d3.select(this).attr(\"cx\", d.x).attr(\"cy\", d.y);\n  link\n    .attr(\"x1\", l => nodes.find(n => n.id === l.source).x)\n    .attr(\"y1\", l => nodes.find(n => n.id === l.source).y)\n    .attr(\"x2\", l => nodes.find(n => n.id === l.target).x)\n    .attr(\"y2\", l => nodes.find(n => n.id === l.target).y);\n}\n\nfunction dragended(event, d) {\n  d3.select(this).attr(\"stroke\", null);\n}\n\n}) })(element);\n"
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#%js\n",
    "my $g = Graph::KnightTour.new(rows => 4, columns => 6, prefix => 'node:');\n",
    "\n",
    "$g.edges(:dataset) \n",
    "==> js-d3-graph-plot(\n",
    "        vertex-coordinates => $g.vertex-coordinates,\n",
    "        :$background, \n",
    "        :$title-color, \n",
    "        width => 800, \n",
    "        :$edge-thickness, \n",
    "        :$vertex-size, \n",
    "        force => {x => {strength => .1}, y => {strength => .1}, charge => {strength => -300}, collision => {radius => 20}}\n",
    "    )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "</g>\n",
       "<!-- node:3_1&#45;&#45;node:4_3 -->\n",
       "<g id=\"edge13\" class=\"edge\">\n",
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       "<!-- node:6_6&#45;&#45;node:7_4 -->\n",
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       "</g>\n",
       "<!-- node:4_3&#45;&#45;node:6_4 -->\n",
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       "<!-- node:4_3&#45;&#45;node:5_1 -->\n",
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       "<title>node:4_3&#45;&#45;node:5_1</title>\n",
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       "<!-- node:5_1&#45;&#45;node:6_3 -->\n",
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       "<!-- node:5_1&#45;&#45;node:7_2 -->\n",
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       "</g>\n",
       "<!-- node:0_5 -->\n",
       "<g id=\"node62\" class=\"node\">\n",
       "<title>node:0_5</title>\n",
       "<ellipse fill=\"SteelBlue\" stroke=\"Black\" cx=\"10.8\" cy=\"-370.8\" rx=\"10.8\" ry=\"10.8\"/>\n",
       "<text text-anchor=\"middle\" x=\"10.8\" y=\"-366.53\" font-family=\"Times,serif\" font-size=\"12.00\" fill=\"White\">node:0_5</text>\n",
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       "<!-- node:0_5&#45;&#45;node:2_6 -->\n",
       "<g id=\"edge156\" class=\"edge\">\n",
       "<title>node:0_5&#45;&#45;node:2_6</title>\n",
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       "</g>\n",
       "<!-- node:0_5&#45;&#45;node:1_7 -->\n",
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       "<title>node:0_5&#45;&#45;node:1_7</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"2\" d=\"M15.75,-380.7C28.9,-407 64.62,-478.45 77.82,-504.83\"/>\n",
       "</g>\n",
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       "<title>node:4_6&#45;&#45;node:6_7</title>\n",
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       "<g id=\"edge81\" class=\"edge\">\n",
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       "</g>\n",
       "<!-- node:4_6&#45;&#45;node:6_5 -->\n",
       "<g id=\"edge87\" class=\"edge\">\n",
       "<title>node:4_6&#45;&#45;node:6_5</title>\n",
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       "</g>\n",
       "</g>\n",
       "</svg>\n"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#% html\n",
    "$g.&neato"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "-----\n",
    "\n",
    "## Path graph"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": "(function(element) { require(['d3'], function(d3) {\n\n// set the dimensions and margins of the graph\nvar margin = {\"bottom\":40,\"top\":40,\"left\":40,\"right\":40},\n    width = 500 - margin.left - margin.right,\n    height = 309 - margin.top - margin.bottom;\n\n// append the svg object to the body of the page\nvar svg = d3\n   .select(element.get(0))\n  .append(\"svg\")\n    .attr(\"width\", width + margin.left + margin.right)\n    .attr(\"height\", height + margin.top + margin.bottom)\n    .style(\"background\", \"#1F1F1F\")\n  .append(\"g\")\n    .attr(\"transform\",\n          \"translate(\" + margin.left + \",\" + margin.top + \")\")\n\n// Obtain title\nvar title = \"\"\nvar titleFontSize = 16\n\nif ( title.length > 0 ) {\n    svg.append(\"text\")\n        .attr(\"x\", (width / 2))\n        .attr(\"y\", 0 - (margin.top / 2))\n        .attr(\"text-anchor\", \"middle\")\n        .style(\"font-size\", titleFontSize.toString() + \"px\")\n        .style(\"fill\", \"Ivory\")\n        .text(title);\n}\n\nconst edges = [{\"weight\":1,\"to\":\"e\",\"from\":\"d\",\"label\":\"\"},{\"to\":\"c\",\"label\":\"\",\"from\":\"b\",\"weight\":1},{\"weight\":1,\"from\":\"a\",\"label\":\"\",\"to\":\"b\"},{\"label\":\"\",\"weight\":1,\"from\":\"c\",\"to\":\"d\"},{\"from\":\"f\",\"to\":\"g\",\"label\":\"\",\"weight\":1},{\"weight\":1,\"from\":\"g\",\"label\":\"\",\"to\":\"h\"},{\"from\":\"e\",\"to\":\"f\",\"weight\":1,\"label\":\"\"}];\n\nconst nodes = Array.from(new Set(edges.flatMap(e => [e.from, e.to])), id => ({id}));\n\nconst highlightSpecs = {};\n\nconst links = edges.map(e => ({\n  source: e.from,\n  target: e.to,\n  weight: e.weight,\n  label: e.label,\n}));\n\n//.force(\"link\", d3.forceLink(links).id(d => d.id).distance(d => Math.max(d.weight * 20, 6 * 4)))\nconst simulation = d3.forceSimulation(nodes)\n    .force(\"link\", d3.forceLink(links).id(d => d.id).iterations(1))\n    .force(\"charge\", d3.forceManyBody().strength(-600).distanceMin(1).distanceMax(2000))\n    .force(\"x\", d3.forceX())\n    .force(\"y\", d3.forceY())\n    .force(\"collision\", d3.forceCollide())\n    .force(\"center\", d3.forceCenter(width / 2, height / 2));\n\nsvg.append('defs').append('marker')\n    .attr(\"id\",'arrowhead')\n    .attr('viewBox','-0 -5 10 10') //the bound of the SVG viewport for the current SVG fragment. defines a coordinate system 10 wide and 10 high starting on (0,-5)\n     .attr('refX', 16) // x coordinate for the reference point of the marker. If circle is bigger, this need to be bigger.\n     .attr('refY',0)\n     .attr('orient','auto')\n        .attr('markerWidth', 5)\n        .attr('markerHeight', 5)\n        .attr('xoverflow','visible')\n    .append('svg:path')\n    .attr('d', 'M 0,-5 L 10 ,0 L 0,5')\n    .attr('fill', \"SteelBlue\")\n    .style('stroke','none');\n\nconst link = svg.append(\"g\")\n    .attr(\"class\", \"links\")\n  .selectAll(\"line\")\n  .data(links)\n  .enter().append(\"line\")\n    .attr(\"class\", \"link\")\n    .attr(\"stroke\", d => {\n        for (const [color, items] of Object.entries(highlightSpecs)) {\n            if (items.some(item => Array.isArray(item) && item[0] === d.source.id && item[1] === d.target.id)) {\n                return color;\n            }\n        }\n        return \"SteelBlue\";\n    })\n    .attr(\"stroke-width\", 3)\n    .attr('marker-end','url(#arrowhead)')\n\nconst node = svg.append(\"g\")\n    .attr(\"class\", \"nodes\")\n  .selectAll(\"circle\")\n  .data(nodes)\n  .enter().append(\"circle\")\n    .attr(\"class\", \"node\")\n    .attr(\"r\", 6)\n    .attr(\"stroke\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .attr(\"fill\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .call(drag(simulation));\n\nnode.append(\"title\")\n    .text(d => d.id);\n\nconst nodeLabel = svg.append(\"g\")\n    .attr(\"class\", \"node-labels\")\n  .selectAll(\"text\")\n  .data(nodes)\n  .enter().append(\"text\")\n    .attr(\"class\", \"node-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier New\")\n    .attr(\"font-weight\", 100)\n    .attr(\"dy\", -10)\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.id);\n\nconst linkLabel = svg.append(\"g\")\n    .attr(\"class\", \"link-labels\")\n  .selectAll(\"text\")\n  .data(links)\n  .enter().append(\"text\")\n    .filter(d => d.label !== \"\")\n    .attr(\"class\", \"link-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier\")\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.label);\n\nsimulation.on(\"tick\", () => {\n  link\n      .attr(\"x1\", d => d.source.x)\n      .attr(\"y1\", d => d.source.y)\n      .attr(\"x2\", d => d.target.x)\n      .attr(\"y2\", d => d.target.y);\n\n  node\n      .attr(\"cx\", d => d.x)\n      .attr(\"cy\", d => d.y);\n\n  nodeLabel\n      .attr(\"x\", d => d.x)\n      .attr(\"y\", d => d.y);\n\n  linkLabel\n      .attr(\"x\", d => (d.source.x + d.target.x) / 2)\n      .attr(\"y\", d => (d.source.y + d.target.y) / 2);\n});\n\nfunction drag(simulation) {\n  function dragstarted(event, d) {\n    if (!event.active) simulation.alphaTarget(0.3).restart();\n    d.fx = d.x;\n    d.fy = d.y;\n  }\n\n  function dragged(event, d) {\n    d.fx = event.x;\n    d.fy = event.y;\n  }\n\n  function dragended(event, d) {\n    if (!event.active) simulation.alphaTarget(0);\n    d.fx = null;\n    d.fy = null;\n  }\n\n  return d3.drag()\n      .on(\"start\", dragstarted)\n      .on(\"drag\", dragged)\n      .on(\"end\", dragended);\n}\n\n}) })(element);\n"
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#%js\n",
    "my $g = Graph::Path.new('a'..'h', prefix => '', :directed);\n",
    "\n",
    "$g.edges(:dataset) \n",
    "==> js-d3-graph-plot(\n",
    "        :$background, \n",
    "        :$title-color, \n",
    "        width => 500, \n",
    "        :$edge-thickness,\n",
    "        :$vertex-size,\n",
    "        directed => $g.directed,\n",
    "        force => {charge => {strength => -600}, link => {minDistance => 40}}\n",
    "    )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
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       "</svg>\n"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#% html\n",
    "$g.&sfdp"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "-----\n",
    "\n",
    "## Petersen graph"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": "(function(element) { require(['d3'], function(d3) {\n\n// set the dimensions and margins of the graph\nvar margin = {\"left\":40,\"bottom\":40,\"top\":40,\"right\":40},\n    width = 300 - margin.left - margin.right,\n    height = 300 - margin.top - margin.bottom;\n\n// append the svg object to the body of the page\nvar svg = d3\n   .select(element.get(0))\n  .append(\"svg\")\n    .attr(\"width\", width + margin.left + margin.right)\n    .attr(\"height\", height + margin.top + margin.bottom)\n    .style(\"background\", \"#1F1F1F\")\n  .append(\"g\")\n    .attr(\"transform\",\n          \"translate(\" + margin.left + \",\" + margin.top + \")\")\n\n// Obtain title\nvar title = \"\"\nvar titleFontSize = 16\n\nif ( title.length > 0 ) {\n    svg.append(\"text\")\n        .attr(\"x\", (width / 2))\n        .attr(\"y\", 0 - (margin.top / 2))\n        .attr(\"text-anchor\", \"middle\")\n        .style(\"font-size\", titleFontSize.toString() + \"px\")\n        .style(\"fill\", \"Ivory\")\n        .text(title);\n}\n\nconst edges = [{\"weight\":1,\"label\":\"\",\"to\":\"7\",\"from\":\"2\"},{\"to\":\"7\",\"label\":\"\",\"from\":\"6\",\"weight\":1},{\"label\":\"\",\"weight\":1,\"from\":\"7\",\"to\":\"8\"},{\"from\":\"0\",\"weight\":1,\"label\":\"\",\"to\":\"2\"},{\"to\":\"4\",\"weight\":1,\"label\":\"\",\"from\":\"2\"},{\"weight\":1,\"from\":\"4\",\"label\":\"\",\"to\":\"9\"},{\"label\":\"\",\"to\":\"9\",\"weight\":1,\"from\":\"8\"},{\"weight\":1,\"from\":\"5\",\"to\":\"9\",\"label\":\"\"},{\"weight\":1,\"label\":\"\",\"to\":\"3\",\"from\":\"1\"},{\"weight\":1,\"label\":\"\",\"from\":\"0\",\"to\":\"3\"},{\"weight\":1,\"to\":\"8\",\"label\":\"\",\"from\":\"3\"},{\"from\":\"0\",\"label\":\"\",\"weight\":1,\"to\":\"5\"},{\"from\":\"1\",\"label\":\"\",\"to\":\"6\",\"weight\":1},{\"label\":\"\",\"weight\":1,\"to\":\"4\",\"from\":\"1\"},{\"weight\":1,\"from\":\"5\",\"to\":\"6\",\"label\":\"\"}];\n\nconst isDirected = false;\n\nconst vertexCoordinates = {\"6\":{\"x\":-1.902113032590307e0,\"y\":0.618033988749895e0},\"3\":{\"x\":0.5877852522924729e0,\"y\":-0.8090169943749476e0},\"1\":{\"x\":-0.9510565162951535e0,\"y\":0.3090169943749475e0},\"8\":{\"y\":-1.6180339887498951e0,\"x\":1.1755705045849458e0},\"7\":{\"y\":-1.6180339887498947e0,\"x\":-1.1755705045849465e0},\"4\":{\"x\":0.9510565162951536e0,\"y\":0.3090169943749472e0},\"9\":{\"x\":1.9021130325903073e0,\"y\":0.6180339887498943e0},\"2\":{\"x\":-0.5877852522924732e0,\"y\":-0.8090169943749473e0},\"5\":{\"y\":2e0,\"x\":1.2246467991473532e-16},\"0\":{\"x\":6.123233995736766e-17,\"y\":1e0}};\n\nconst highlightSpecs = {};\n\nconst links = edges.map(e => ({\n  source: e.from,\n  target: e.to,\n  weight: e.weight,\n  label: e.label\n}));\n\nconst nodes = Object.keys(vertexCoordinates).map(key => ({\n  id: key,\n  x: vertexCoordinates[key].x,\n  y: vertexCoordinates[key].y\n}));\n\nvar xMin = Math.min.apply(Math, nodes.map(function(o) { return o.x; }))\nvar xMax = Math.max.apply(Math, nodes.map(function(o) { return o.x; }))\n\nvar yMin = Math.min.apply(Math, nodes.map(function(o) { return o.y; }))\nvar yMax = Math.max.apply(Math, nodes.map(function(o) { return o.y; }))\n\n// X scale and Axis\nvar xScale = d3.scaleLinear()\n    .domain([xMin, xMax])\n    .range([0, width]);\n\n// Y scale and Axis\nvar yScale = d3.scaleLinear()\n    .domain([yMin, yMax])\n    .range([height, 0]);\n\nnodes.forEach(node => {\n  node.x = xScale(node.x);\n  node.y = yScale(node.y);\n});\n\nconst link = svg.append(\"g\")\n    .attr(\"class\", \"links\")\n  .selectAll(\"line\")\n  .data(links)\n  .enter().append(\"line\")\n    .attr(\"class\", \"link\")\n    .attr(\"stroke\", d => {\n        for (const [color, items] of Object.entries(highlightSpecs)) {\n            if (items.some(item => Array.isArray(item) && item[0] === d.source && item[1] === d.target)) {\n                return color;\n            }\n        }\n        return \"SteelBlue\";\n    })\n    .attr(\"stroke-width\", 3)\n    .attr(\"x1\", d => nodes.find(n => n.id === d.source).x)\n    .attr(\"y1\", d => nodes.find(n => n.id === d.source).y)\n    .attr(\"x2\", d => nodes.find(n => n.id === d.target).x)\n    .attr(\"y2\", d => nodes.find(n => n.id === d.target).y);\n\nif (isDirected) {\n  link.attr(\"marker-end\", \"url(#arrow)\");\n  svg.append(\"defs\").append(\"marker\")\n    .attr(\"id\", \"arrow\")\n    .attr(\"viewBox\", \"0 -5 10 10\")\n    .attr(\"refX\", 16)\n    .attr(\"refY\", 0)\n    .attr(\"markerWidth\", 5)\n    .attr(\"markerHeight\", 5)\n    .attr(\"orient\", \"auto\")\n    .append(\"path\")\n    .attr(\"d\", \"M0,-5L10,0L0,5\")\n    .attr(\"fill\", \"SteelBlue\");\n}\n\nconst node = svg.append(\"g\")\n    .attr(\"class\", \"nodes\")\n  .selectAll(\"circle\")\n  .data(nodes)\n  .enter().append(\"circle\")\n    .attr(\"class\", \"node\")\n    .attr(\"r\", 6)\n    .attr(\"cx\", d => d.x)\n    .attr(\"cy\", d => d.y)\n    .attr(\"stroke\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .attr(\"fill\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .call(d3.drag()\n      .on(\"start\", dragstarted)\n      .on(\"drag\", dragged)\n      .on(\"end\", dragended));\n\nnode.append(\"title\")\n    .text(d => d.id);\n\nconst nodeLabel = svg.append(\"g\")\n    .attr(\"class\", \"node-labels\")\n  .selectAll(\"text\")\n  .data(nodes)\n  .enter().append(\"text\")\n    .attr(\"class\", \"node-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier New\")\n    .attr(\"font-weight\", 100)\n    .attr(\"dy\", -10)\n    .attr(\"x\", d => d.x)\n    .attr(\"y\", d => d.y)\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.id);\n\nconst linkLabel = svg.append(\"g\")\n    .attr(\"class\", \"link-labels\")\n  .selectAll(\"text\")\n  .data(links)\n  .enter().append(\"text\")\n    .filter(d => d.label !== \"\")\n    .attr(\"class\", \"link-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier New\")\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .attr(\"font-weight\", 100)\n    .attr(\"dy\", -10)\n    .attr(\"x\", d => xScale((vertexCoordinates[d.source].x + vertexCoordinates[d.target].x) / 2))\n    .attr(\"y\", d => yScale((vertexCoordinates[d.source].y + vertexCoordinates[d.target].y) / 2))\n    .text(d => d.label);\n\nfunction dragstarted(event, d) {\n  d3.select(this).raise().attr(\"stroke\", \"SteelBlue\");\n}\n\nfunction dragged(event, d) {\n  d.x = event.x;\n  d.y = event.y;\n  d3.select(this).attr(\"cx\", d.x).attr(\"cy\", d.y);\n  link\n    .attr(\"x1\", l => nodes.find(n => n.id === l.source).x)\n    .attr(\"y1\", l => nodes.find(n => n.id === l.source).y)\n    .attr(\"x2\", l => nodes.find(n => n.id === l.target).x)\n    .attr(\"y2\", l => nodes.find(n => n.id === l.target).y);\n}\n\nfunction dragended(event, d) {\n  d3.select(this).attr(\"stroke\", null);\n}\n\n}) })(element);\n"
     },
     "execution_count": 58,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#%js\n",
    "my $g = Graph::Petersen.new(prefix => '');\n",
    "\n",
    "$g.edges(:dataset) \n",
    "==> js-d3-graph-plot(\n",
    "        vertex-coordinates => $g.vertex-coordinates,\n",
    "        :$background, \n",
    "        :$title-color, \n",
    "        width => 300,\n",
    "        height => 300, \n",
    "        :$edge-thickness,\n",
    "        :$vertex-size,\n",
    "        directed => $g.directed,\n",
    "        force => {charge => {strength => -600}, link => {minDistance => 40}}\n",
    "    )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
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     "metadata": {},
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   ],
   "source": [
    "#% html\n",
    "$g.&neato"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Properties"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- Has radius 2 and diameter 2. It is the largest cubic graph with diameter 2."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(radius => 2 diameter => 2)\n"
     ]
    }
   ],
   "source": [
    "say <radius diameter>.map({ $_ => $g.\"$_\"() })"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- The Petersen graph has a Hamiltonian path but no Hamiltonian cycle. It is the smallest bridgeless cubic graph with no Hamiltonian cycle. It is hypohamiltonian, meaning that although it has no Hamiltonian cycle, deleting any vertex makes it Hamiltonian, and is the smallest hypohamiltonian graph.\n",
    "(See [[Wk-Petersen](https://en.wikipedia.org/wiki/Petersen_graph)].)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[0 3 1 4 2 7 8 9 5 6]"
      ]
     },
     "execution_count": 60,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "$g.find-hamiltonian-path('0','6')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0 => 3 3 => 1 1 => 4 4 => 2 2 => 7 7 => 8 8 => 9 9 => 5 5 => 6)"
      ]
     },
     "execution_count": 61,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "$g.find-hamiltonian-path('0', '6').rotor(2=>-1).map({$_.head => $_.tail })"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": "(function(element) { require(['d3'], function(d3) {\n\n// set the dimensions and margins of the graph\nvar margin = {\"top\":40,\"right\":40,\"left\":40,\"bottom\":40},\n    width = 300 - margin.left - margin.right,\n    height = 300 - margin.top - margin.bottom;\n\n// append the svg object to the body of the page\nvar svg = d3\n   .select(element.get(0))\n  .append(\"svg\")\n    .attr(\"width\", width + margin.left + margin.right)\n    .attr(\"height\", height + margin.top + margin.bottom)\n    .style(\"background\", \"#1F1F1F\")\n  .append(\"g\")\n    .attr(\"transform\",\n          \"translate(\" + margin.left + \",\" + margin.top + \")\")\n\n// Obtain title\nvar title = \"\"\nvar titleFontSize = 16\n\nif ( title.length > 0 ) {\n    svg.append(\"text\")\n        .attr(\"x\", (width / 2))\n        .attr(\"y\", 0 - (margin.top / 2))\n        .attr(\"text-anchor\", \"middle\")\n        .style(\"font-size\", titleFontSize.toString() + \"px\")\n        .style(\"fill\", \"Ivory\")\n        .text(title);\n}\n\nconst edges = [{\"to\":\"7\",\"from\":\"2\",\"weight\":1,\"label\":\"\"},{\"label\":\"\",\"to\":\"7\",\"weight\":1,\"from\":\"6\"},{\"weight\":1,\"from\":\"7\",\"label\":\"\",\"to\":\"8\"},{\"label\":\"\",\"from\":\"0\",\"weight\":1,\"to\":\"2\"},{\"from\":\"2\",\"label\":\"\",\"to\":\"4\",\"weight\":1},{\"to\":\"9\",\"from\":\"4\",\"weight\":1,\"label\":\"\"},{\"weight\":1,\"from\":\"8\",\"label\":\"\",\"to\":\"9\"},{\"label\":\"\",\"to\":\"9\",\"weight\":1,\"from\":\"5\"},{\"weight\":1,\"from\":\"1\",\"to\":\"3\",\"label\":\"\"},{\"to\":\"3\",\"label\":\"\",\"from\":\"0\",\"weight\":1},{\"from\":\"3\",\"label\":\"\",\"to\":\"8\",\"weight\":1},{\"from\":\"0\",\"label\":\"\",\"weight\":1,\"to\":\"5\"},{\"weight\":1,\"from\":\"1\",\"label\":\"\",\"to\":\"6\"},{\"label\":\"\",\"weight\":1,\"to\":\"4\",\"from\":\"1\"},{\"weight\":1,\"label\":\"\",\"from\":\"5\",\"to\":\"6\"}];\n\nconst isDirected = false;\n\nconst vertexCoordinates = {\"5\":{\"y\":2e0,\"x\":1.2246467991473532e-16},\"3\":{\"y\":-0.8090169943749476e0,\"x\":0.5877852522924729e0},\"4\":{\"x\":0.9510565162951536e0,\"y\":0.3090169943749472e0},\"2\":{\"x\":-0.5877852522924732e0,\"y\":-0.8090169943749473e0},\"6\":{\"y\":0.618033988749895e0,\"x\":-1.902113032590307e0},\"9\":{\"y\":0.6180339887498943e0,\"x\":1.9021130325903073e0},\"7\":{\"y\":-1.6180339887498947e0,\"x\":-1.1755705045849465e0},\"0\":{\"y\":1e0,\"x\":6.123233995736766e-17},\"8\":{\"y\":-1.6180339887498951e0,\"x\":1.1755705045849458e0},\"1\":{\"x\":-0.9510565162951535e0,\"y\":0.3090169943749475e0}};\n\nconst highlightSpecs = {\"Orange\":[[\"0\",\"3\"],[\"3\",\"1\"],[\"1\",\"4\"],[\"4\",\"2\"],[\"2\",\"7\"],[\"7\",\"8\"],[\"8\",\"9\"],[\"9\",\"5\"],[\"5\",\"6\"],[\"3\",\"0\"],[\"1\",\"3\"],[\"4\",\"1\"],[\"2\",\"4\"],[\"7\",\"2\"],[\"8\",\"7\"],[\"9\",\"8\"],[\"5\",\"9\"],[\"6\",\"5\"]]};\n\nconst links = edges.map(e => ({\n  source: e.from,\n  target: e.to,\n  weight: e.weight,\n  label: e.label\n}));\n\nconst nodes = Object.keys(vertexCoordinates).map(key => ({\n  id: key,\n  x: vertexCoordinates[key].x,\n  y: vertexCoordinates[key].y\n}));\n\nvar xMin = Math.min.apply(Math, nodes.map(function(o) { return o.x; }))\nvar xMax = Math.max.apply(Math, nodes.map(function(o) { return o.x; }))\n\nvar yMin = Math.min.apply(Math, nodes.map(function(o) { return o.y; }))\nvar yMax = Math.max.apply(Math, nodes.map(function(o) { return o.y; }))\n\n// X scale and Axis\nvar xScale = d3.scaleLinear()\n    .domain([xMin, xMax])\n    .range([0, width]);\n\n// Y scale and Axis\nvar yScale = d3.scaleLinear()\n    .domain([yMin, yMax])\n    .range([height, 0]);\n\nnodes.forEach(node => {\n  node.x = xScale(node.x);\n  node.y = yScale(node.y);\n});\n\nconst link = svg.append(\"g\")\n    .attr(\"class\", \"links\")\n  .selectAll(\"line\")\n  .data(links)\n  .enter().append(\"line\")\n    .attr(\"class\", \"link\")\n    .attr(\"stroke\", d => {\n        for (const [color, items] of Object.entries(highlightSpecs)) {\n            if (items.some(item => Array.isArray(item) && item[0] === d.source && item[1] === d.target)) {\n                return color;\n            }\n        }\n        return \"SteelBlue\";\n    })\n    .attr(\"stroke-width\", 3)\n    .attr(\"x1\", d => nodes.find(n => n.id === d.source).x)\n    .attr(\"y1\", d => nodes.find(n => n.id === d.source).y)\n    .attr(\"x2\", d => nodes.find(n => n.id === d.target).x)\n    .attr(\"y2\", d => nodes.find(n => n.id === d.target).y);\n\nif (isDirected) {\n  link.attr(\"marker-end\", \"url(#arrow)\");\n  svg.append(\"defs\").append(\"marker\")\n    .attr(\"id\", \"arrow\")\n    .attr(\"viewBox\", \"0 -5 10 10\")\n    .attr(\"refX\", 16)\n    .attr(\"refY\", 0)\n    .attr(\"markerWidth\", 5)\n    .attr(\"markerHeight\", 5)\n    .attr(\"orient\", \"auto\")\n    .append(\"path\")\n    .attr(\"d\", \"M0,-5L10,0L0,5\")\n    .attr(\"fill\", \"SteelBlue\");\n}\n\nconst node = svg.append(\"g\")\n    .attr(\"class\", \"nodes\")\n  .selectAll(\"circle\")\n  .data(nodes)\n  .enter().append(\"circle\")\n    .attr(\"class\", \"node\")\n    .attr(\"r\", 6)\n    .attr(\"cx\", d => d.x)\n    .attr(\"cy\", d => d.y)\n    .attr(\"stroke\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .attr(\"fill\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .call(d3.drag()\n      .on(\"start\", dragstarted)\n      .on(\"drag\", dragged)\n      .on(\"end\", dragended));\n\nnode.append(\"title\")\n    .text(d => d.id);\n\nconst nodeLabel = svg.append(\"g\")\n    .attr(\"class\", \"node-labels\")\n  .selectAll(\"text\")\n  .data(nodes)\n  .enter().append(\"text\")\n    .attr(\"class\", \"node-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier New\")\n    .attr(\"font-weight\", 100)\n    .attr(\"dy\", -10)\n    .attr(\"x\", d => d.x)\n    .attr(\"y\", d => d.y)\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.id);\n\nconst linkLabel = svg.append(\"g\")\n    .attr(\"class\", \"link-labels\")\n  .selectAll(\"text\")\n  .data(links)\n  .enter().append(\"text\")\n    .filter(d => d.label !== \"\")\n    .attr(\"class\", \"link-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier New\")\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .attr(\"font-weight\", 100)\n    .attr(\"dy\", -10)\n    .attr(\"x\", d => xScale((vertexCoordinates[d.source].x + vertexCoordinates[d.target].x) / 2))\n    .attr(\"y\", d => yScale((vertexCoordinates[d.source].y + vertexCoordinates[d.target].y) / 2))\n    .text(d => d.label);\n\nfunction dragstarted(event, d) {\n  d3.select(this).raise().attr(\"stroke\", \"SteelBlue\");\n}\n\nfunction dragged(event, d) {\n  d.x = event.x;\n  d.y = event.y;\n  d3.select(this).attr(\"cx\", d.x).attr(\"cy\", d.y);\n  link\n    .attr(\"x1\", l => nodes.find(n => n.id === l.source).x)\n    .attr(\"y1\", l => nodes.find(n => n.id === l.source).y)\n    .attr(\"x2\", l => nodes.find(n => n.id === l.target).x)\n    .attr(\"y2\", l => nodes.find(n => n.id === l.target).y);\n}\n\nfunction dragended(event, d) {\n  d3.select(this).attr(\"stroke\", null);\n}\n\n}) })(element);\n"
     },
     "execution_count": 62,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#%js\n",
    "$g.edges(:dataset) \n",
    "==> js-d3-graph-plot(\n",
    "        vertex-coordinates => $g.vertex-coordinates,\n",
    "        :$background, \n",
    "        :$title-color, \n",
    "        width => 300,\n",
    "        height => 300, \n",
    "        :$edge-thickness,\n",
    "        :$vertex-size,\n",
    "        highlight => $g.find-hamiltonian-path('0', '6').rotor(2=>-1).map({$_.head => $_.tail }).List,\n",
    "        force => {charge => {strength => -1400, iterations => 2}, collision => {radius => 1, iterations => 1}, link => {distance => 1}})"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Verify configuration"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To display with Mathematica:\n",
    "\n",
    "```raku\n",
    "Graph::Petersen.new.wl;\n",
    "```\n",
    "\n",
    "```mathematica\n",
    "aCoords = \n",
    " Join[\n",
    "  Table[ToString[i - 1] -> {Cos[i*2 Pi/5], -Sin[i*2 Pi/5]}, {i, 5}], \n",
    "  Table[ToString[i + 5 - 1] -> 2*{Cos[i*2 Pi/5], -Sin[i*2 Pi/5]}, {i, 5}]\n",
    "]\n",
    "\n",
    "gr = REPLACE\n",
    "GraphPlot[gr, VertexLabels -> \"Name\", VertexCoordinates -> aCoords]\n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "------\n",
    "\n",
    "## Random graph"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Create random graph with `600` vertexes and `500` edges:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Time to generate: 0.026498715\n",
      "Graph(vertexes => 130, edges => 232, directed => False)\n"
     ]
    }
   ],
   "source": [
    "my $tstart = now;\n",
    "\n",
    "my $gl = Graph::Random.new(130, 232, :!directed);\n",
    "\n",
    "my $tend = now;\n",
    "say \"Time to generate: {$tend - $tstart}\";\n",
    "say $gl;"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "+--------------------+\n",
      "| numerical          |\n",
      "+--------------------+\n",
      "| Min    => 0        |\n",
      "| 3rd-Qu => 5        |\n",
      "| Mean   => 3.569231 |\n",
      "| Median => 3        |\n",
      "| Max    => 11       |\n",
      "| 1st-Qu => 2        |\n",
      "+--------------------+\n"
     ]
    }
   ],
   "source": [
    "sink records-summary( $gl.vertex-list.map({ $gl.vertex-degree($_) }).List )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[14 86 72 43 30]"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "$gl.find-shortest-path('14', '30')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Visualize the random graph:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": "(function(element) { require(['d3'], function(d3) {\n\n// set the dimensions and margins of the graph\nvar margin = {\"bottom\":40,\"top\":40,\"left\":40,\"right\":40},\n    width = 1200 - margin.left - margin.right,\n    height = 742 - margin.top - margin.bottom;\n\n// append the svg object to the body of the page\nvar svg = d3\n   .select(element.get(0))\n  .append(\"svg\")\n    .attr(\"width\", width + margin.left + margin.right)\n    .attr(\"height\", height + margin.top + margin.bottom)\n    .style(\"background\", \"#1F1F1F\")\n  .append(\"g\")\n    .attr(\"transform\",\n          \"translate(\" + margin.left + \",\" + margin.top + \")\")\n\n// Obtain title\nvar title = \"\"\nvar titleFontSize = 16\n\nif ( title.length > 0 ) {\n    svg.append(\"text\")\n        .attr(\"x\", (width / 2))\n        .attr(\"y\", 0 - (margin.top / 2))\n        .attr(\"text-anchor\", \"middle\")\n        .style(\"font-size\", titleFontSize.toString() + \"px\")\n        .style(\"fill\", \"Ivory\")\n        .text(title);\n}\n\nconst edges = [{\"to\":\"82\",\"from\":\"121\",\"label\":\"\",\"weight\":1},{\"weight\":1,\"from\":\"121\",\"label\":\"\",\"to\":\"51\"},{\"from\":\"1\",\"to\":\"121\",\"label\":\"\",\"weight\":1},{\"label\":\"\",\"from\":\"121\",\"weight\":1,\"to\":\"84\"},{\"label\":\"\",\"from\":\"27\",\"to\":\"29\",\"weight\":1},{\"label\":\"\",\"weight\":1,\"from\":\"14\",\"to\":\"29\"},{\"from\":\"29\",\"weight\":1,\"label\":\"\",\"to\":\"95\"},{\"weight\":1,\"from\":\"29\",\"label\":\"\",\"to\":\"38\"},{\"label\":\"\",\"from\":\"122\",\"to\":\"29\",\"weight\":1},{\"to\":\"96\",\"weight\":1,\"label\":\"\",\"from\":\"93\"},{\"from\":\"72\",\"weight\":1,\"to\":\"96\",\"label\":\"\"},{\"label\":\"\",\"to\":\"96\",\"from\":\"35\",\"weight\":1},{\"from\":\"52\",\"to\":\"96\",\"label\":\"\",\"weight\":1},{\"weight\":1,\"label\":\"\",\"to\":\"96\",\"from\":\"24\"},{\"to\":\"96\",\"label\":\"\",\"from\":\"126\",\"weight\":1},{\"to\":\"95\",\"weight\":1,\"from\":\"84\",\"label\":\"\"},{\"from\":\"79\",\"label\":\"\",\"to\":\"95\",\"weight\":1},{\"to\":\"38\",\"weight\":1,\"from\":\"27\",\"label\":\"\"},{\"label\":\"\",\"from\":\"38\",\"to\":\"72\",\"weight\":1},{\"label\":\"\",\"weight\":1,\"to\":\"38\",\"from\":\"12\"},{\"to\":\"92\",\"label\":\"\",\"from\":\"38\",\"weight\":1},{\"from\":\"31\",\"to\":\"38\",\"label\":\"\",\"weight\":1},{\"to\":\"68\",\"from\":\"24\",\"label\":\"\",\"weight\":1},{\"label\":\"\",\"to\":\"60\",\"from\":\"24\",\"weight\":1},{\"label\":\"\",\"to\":\"83\",\"from\":\"70\",\"weight\":1},{\"label\":\"\",\"to\":\"83\",\"from\":\"105\",\"weight\":1},{\"from\":\"20\",\"label\":\"\",\"to\":\"83\",\"weight\":1},{\"from\":\"126\",\"to\":\"83\",\"weight\":1,\"label\":\"\"},{\"from\":\"5\",\"to\":\"83\",\"label\":\"\",\"weight\":1},{\"weight\":1,\"label\":\"\",\"from\":\"110\",\"to\":\"83\"},{\"weight\":1,\"to\":\"65\",\"from\":\"46\",\"label\":\"\"},{\"from\":\"103\",\"to\":\"33\",\"weight\":1,\"label\":\"\"},{\"from\":\"33\",\"weight\":1,\"to\":\"36\",\"label\":\"\"},{\"to\":\"33\",\"from\":\"129\",\"weight\":1,\"label\":\"\"},{\"to\":\"60\",\"weight\":1,\"from\":\"45\",\"label\":\"\"},{\"from\":\"45\",\"weight\":1,\"label\":\"\",\"to\":\"66\"},{\"to\":\"75\",\"weight\":1,\"from\":\"37\",\"label\":\"\"},{\"from\":\"58\",\"to\":\"75\",\"weight\":1,\"label\":\"\"},{\"weight\":1,\"label\":\"\",\"to\":\"75\",\"from\":\"25\"},{\"weight\":1,\"to\":\"66\",\"label\":\"\",\"from\":\"26\"},{\"label\":\"\",\"weight\":1,\"from\":\"26\",\"to\":\"64\"},{\"weight\":1,\"label\":\"\",\"from\":\"104\",\"to\":\"63\"},{\"label\":\"\",\"to\":\"118\",\"from\":\"104\",\"weight\":1},{\"to\":\"79\",\"weight\":1,\"label\":\"\",\"from\":\"104\"},{\"weight\":1,\"from\":\"100\",\"label\":\"\",\"to\":\"104\"},{\"to\":\"85\",\"label\":\"\",\"weight\":1,\"from\":\"17\"},{\"from\":\"11\",\"weight\":1,\"to\":\"85\",\"label\":\"\"},{\"weight\":1,\"to\":\"85\",\"label\":\"\",\"from\":\"78\"},{\"to\":\"85\",\"label\":\"\",\"weight\":1,\"from\":\"6\"},{\"label\":\"\",\"from\":\"70\",\"to\":\"85\",\"weight\":1},{\"to\":\"85\",\"from\":\"71\",\"weight\":1,\"label\":\"\"},{\"weight\":1,\"label\":\"\",\"from\":\"126\",\"to\":\"50\"},{\"from\":\"64\",\"label\":\"\",\"weight\":1,\"to\":\"8\"},{\"from\":\"8\",\"label\":\"\",\"weight\":1,\"to\":\"92\"},{\"label\":\"\",\"weight\":1,\"from\":\"49\",\"to\":\"8\"},{\"label\":\"\",\"from\":\"1\",\"to\":\"8\",\"weight\":1},{\"to\":\"97\",\"from\":\"47\",\"label\":\"\",\"weight\":1},{\"weight\":1,\"from\":\"62\",\"to\":\"97\",\"label\":\"\"},{\"to\":\"97\",\"from\":\"51\",\"label\":\"\",\"weight\":1},{\"to\":\"78\",\"weight\":1,\"from\":\"129\",\"label\":\"\"},{\"label\":\"\",\"from\":\"78\",\"weight\":1,\"to\":\"86\"},{\"label\":\"\",\"from\":\"20\",\"to\":\"56\",\"weight\":1},{\"to\":\"65\",\"label\":\"\",\"weight\":1,\"from\":\"20\"},{\"from\":\"20\",\"label\":\"\",\"weight\":1,\"to\":\"62\"},{\"label\":\"\",\"from\":\"20\",\"weight\":1,\"to\":\"44\"},{\"weight\":1,\"to\":\"89\",\"from\":\"20\",\"label\":\"\"},{\"to\":\"74\",\"label\":\"\",\"weight\":1,\"from\":\"20\"},{\"from\":\"106\",\"label\":\"\",\"to\":\"13\",\"weight\":1},{\"weight\":1,\"from\":\"106\",\"label\":\"\",\"to\":\"40\"},{\"from\":\"106\",\"to\":\"118\",\"weight\":1,\"label\":\"\"},{\"weight\":1,\"label\":\"\",\"from\":\"106\",\"to\":\"28\"},{\"weight\":1,\"to\":\"112\",\"label\":\"\",\"from\":\"106\"},{\"to\":\"54\",\"weight\":1,\"from\":\"37\",\"label\":\"\"},{\"to\":\"94\",\"from\":\"54\",\"weight\":1,\"label\":\"\"},{\"weight\":1,\"from\":\"2\",\"label\":\"\",\"to\":\"99\"},{\"to\":\"3\",\"from\":\"2\",\"weight\":1,\"label\":\"\"},{\"label\":\"\",\"from\":\"36\",\"to\":\"50\",\"weight\":1},{\"weight\":1,\"from\":\"50\",\"to\":\"71\",\"label\":\"\"},{\"to\":\"59\",\"label\":\"\",\"from\":\"50\",\"weight\":1},{\"label\":\"\",\"from\":\"19\",\"to\":\"50\",\"weight\":1},{\"label\":\"\",\"weight\":1,\"from\":\"124\",\"to\":\"50\"},{\"weight\":1,\"to\":\"50\",\"label\":\"\",\"from\":\"119\"},{\"label\":\"\",\"to\":\"93\",\"from\":\"102\",\"weight\":1},{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nodes = Array.from(new Set(edges.flatMap(e => [e.from, e.to])), id => ({id}));\n\nconst highlightSpecs = {};\n\nconst links = edges.map(e => ({\n  source: e.from,\n  target: e.to,\n  weight: e.weight,\n  label: e.label,\n}));\n\n//.force(\"link\", d3.forceLink(links).id(d => d.id).distance(d => Math.max(d.weight * 20, 6 * 4)))\nconst simulation = d3.forceSimulation(nodes)\n    .force(\"link\", d3.forceLink(links).id(d => d.id).distance(4).iterations(1))\n    .force(\"charge\", d3.forceManyBody().strength(-180).distanceMin(1).distanceMax(2000))\n    .force(\"x\", d3.forceX())\n    .force(\"y\", d3.forceY())\n    .force(\"collision\", d3.forceCollide().radius(6))\n    .force(\"center\", d3.forceCenter(width / 2, height / 2));\n\nsvg.append('defs').append('marker')\n    .attr(\"id\",'arrowhead')\n    .attr('viewBox','-0 -5 10 10') //the bound of the SVG viewport for the current SVG fragment. defines a coordinate system 10 wide and 10 high starting on (0,-5)\n     .attr('refX', 16) // x coordinate for the reference point of the marker. If circle is bigger, this need to be bigger.\n     .attr('refY',0)\n     .attr('orient','auto')\n        .attr('markerWidth', 5)\n        .attr('markerHeight', 5)\n        .attr('xoverflow','visible')\n    .append('svg:path')\n    .attr('d', 'M 0,-5 L 10 ,0 L 0,5')\n    .attr('fill', \"SteelBlue\")\n    .style('stroke','none');\n\nconst link = svg.append(\"g\")\n    .attr(\"class\", \"links\")\n  .selectAll(\"line\")\n  .data(links)\n  .enter().append(\"line\")\n    .attr(\"class\", \"link\")\n    .attr(\"stroke\", d => {\n        for (const [color, items] of Object.entries(highlightSpecs)) {\n            if (items.some(item => Array.isArray(item) && item[0] === d.source.id && item[1] === d.target.id)) {\n                return color;\n            }\n        }\n        return \"SteelBlue\";\n    })\n    .attr(\"stroke-width\", 3)\n    \n\nconst node = svg.append(\"g\")\n    .attr(\"class\", \"nodes\")\n  .selectAll(\"circle\")\n  .data(nodes)\n  .enter().append(\"circle\")\n    .attr(\"class\", \"node\")\n    .attr(\"r\", 6)\n    .attr(\"stroke\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .attr(\"fill\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .call(drag(simulation));\n\nnode.append(\"title\")\n    .text(d => d.id);\n\nconst nodeLabel = svg.append(\"g\")\n    .attr(\"class\", \"node-labels\")\n  .selectAll(\"text\")\n  .data(nodes)\n  .enter().append(\"text\")\n    .attr(\"class\", \"node-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier New\")\n    .attr(\"font-weight\", 100)\n    .attr(\"dy\", -10)\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.id);\n\nconst linkLabel = svg.append(\"g\")\n    .attr(\"class\", \"link-labels\")\n  .selectAll(\"text\")\n  .data(links)\n  .enter().append(\"text\")\n    .filter(d => d.label !== \"\")\n    .attr(\"class\", \"link-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier\")\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.label);\n\nsimulation.on(\"tick\", () => {\n  link\n      .attr(\"x1\", d => d.source.x)\n      .attr(\"y1\", d => d.source.y)\n      .attr(\"x2\", d => d.target.x)\n      .attr(\"y2\", d => d.target.y);\n\n  node\n      .attr(\"cx\", d => d.x)\n      .attr(\"cy\", d => d.y);\n\n  nodeLabel\n      .attr(\"x\", d => d.x)\n      .attr(\"y\", d => d.y);\n\n  linkLabel\n      .attr(\"x\", d => (d.source.x + d.target.x) / 2)\n      .attr(\"y\", d => (d.source.y + d.target.y) / 2);\n});\n\nfunction drag(simulation) {\n  function dragstarted(event, d) {\n    if (!event.active) simulation.alphaTarget(0.3).restart();\n    d.fx = d.x;\n    d.fy = d.y;\n  }\n\n  function dragged(event, d) {\n    d.fx = event.x;\n    d.fy = event.y;\n  }\n\n  function dragended(event, d) {\n    if (!event.active) simulation.alphaTarget(0);\n    d.fx = null;\n    d.fy = null;\n  }\n\n  return d3.drag()\n      .on(\"start\", dragstarted)\n      .on(\"drag\", dragged)\n      .on(\"end\", dragended);\n}\n\n}) })(element);\n"
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#%js\n",
    "$gl.edges(:dataset) \n",
    "==> js-d3-graph-plot(\n",
    "    :$background, \n",
    "    :$title-color, \n",
    "    width => 1200, \n",
    "    :$vertex-size, \n",
    "    :$edge-thickness, \n",
    "    force => {charge => {strength => -180, iterations => 2}, collision => {radius => 6, iterations => 10}, link => {distance => 4}}\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Vertex degree distribution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "+--------------------+\n",
      "| numerical          |\n",
      "+--------------------+\n",
      "| Min    => 0        |\n",
      "| Max    => 11       |\n",
      "| 1st-Qu => 2        |\n",
      "| Median => 3        |\n",
      "| Mean   => 3.569231 |\n",
      "| 3rd-Qu => 5        |\n",
      "+--------------------+\n"
     ]
    }
   ],
   "source": [
    "my %degrees = $gl.vertex-list.map({ $_ => $gl.vertex-degree($_) });\n",
    "\n",
    "sink records-summary(%degrees.values.List)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": "(function(element) { require(['d3'], function(d3) {\n\n// set the dimensions and margins of the graph\nvar margin = {\"top\":40,\"left\":40,\"bottom\":40,\"right\":40},\n    width = 600 - margin.left - margin.right,\n    height = 400 - margin.top - margin.bottom;\n\n// append the svg object to the body of the page\nvar svg = d3\n   .select(element.get(0))\n  .append(\"svg\")\n    .attr(\"width\", width + margin.left + margin.right)\n    .attr(\"height\", height + margin.top + margin.bottom)\n    .style(\"background\", \"#1F1F1F\")\n  .append(\"g\")\n    .attr(\"transform\",\n          \"translate(\" + margin.left + \",\" + margin.top + \")\")\n\n// Obtain title\nvar title = \"\"\nvar titleFontSize = 16\n\nif ( title.length > 0 ) {\n    svg.append(\"text\")\n        .attr(\"x\", (width / 2))\n        .attr(\"y\", 0 - (margin.top / 2))\n        .attr(\"text-anchor\", \"middle\")\n        .style(\"font-size\", titleFontSize.toString() + \"px\")\n        .style(\"fill\", \"Black\")\n        .text(title);\n}\n\n// Obtain x-axis label\nvar xAxisLabel = \"\"\nvar xAxisLabelFontSize = 12\n\nif ( xAxisLabel.length > 0 ) {\n    svg.append(\"text\")\n        .attr(\"x\", (width / 2))\n        .attr(\"y\", height + margin.bottom - xAxisLabelFontSize/2)\n        .attr(\"text-anchor\", \"middle\")\n        .style(\"font-size\", xAxisLabelFontSize.toString() + \"px\")\n        .style(\"fill\", \"Black\")\n        .text(xAxisLabel);\n}\n\n// Obtain y-axis label\nvar yAxisLabel = \"\"\nvar yAxisLabelFontSize = 12\n\nif ( yAxisLabel.length > 0 ) {\n    svg.append(\"text\")\n        .attr(\"transform\", \"rotate(-90)\")\n        .attr(\"x\", - (height / 2))\n        .attr(\"y\", 0 - margin.left + yAxisLabelFontSize)\n        .attr(\"text-anchor\", \"middle\")\n        .style(\"font-size\", yAxisLabelFontSize.toString() + \"px\")\n        .style(\"fill\", \"Black\")\n        .text(yAxisLabel);\n}\n\n// Obtain data\nvar data = [5,5,2,2,5,5,5,4,4,3,5,6,2,1,4,3,6,0,4,6,3,4,2,3,4,2,2,2,4,2,11,3,2,5,1,4,3,4,4,3,3,6,5,5,5,6,4,2,8,10,6,2,3,1,3,3,5,2,6,7,5,3,5,4,3,2,2,3,0,5,1,4,4,0,2,6,3,3,7,3,4,7,1,3,6,3,0,4,0,7,3,3,0,3,3,3,5,2,4,3,3,5,4,2,4,3,4,3,6,2,3,3,5,4,3,5,6,0,2,2,0,3,5,3,3,1,2,5,4,3]\n\nvar valueMin = Math.min.apply(Math, data)\nvar valueMax = Math.max.apply(Math, data)\n\n// X axis: scale and draw:\nvar x = d3.scaleLinear()\n      .domain([valueMin, valueMax])\n      .range([0, width]);\nsvg.append(\"g\")\n      .attr(\"transform\", \"translate(0,\" + height + \")\")\n      .call(d3.axisBottom(x));\n\n// set the parameters for the histogram\nvar histogram = d3.histogram()\n      .value(function(d) { return d; })  // I need to give the vector of value\n      .domain(x.domain())  // then the domain of the graphic\n      .thresholds(x.ticks(20)); // then the numbers of bins\n\n// And apply this function to data to get the bins\nvar bins = histogram(data);\n\n// Y axis: scale and draw:\nvar y = d3.scaleLinear()\n      .range([height, 0]);\n      y.domain([0, d3.max(bins, function(d) { return d.length; })]);   // d3.hist has to be called before the Y axis obviously\nsvg.append(\"g\")\n      .call(d3.axisLeft(y));\n\n// append the bar rectangles to the svg element\nsvg.selectAll(\"rect\")\n      .data(bins)\n      .enter()\n      .append(\"rect\")\n        .attr(\"x\", 1)\n        .attr(\"transform\", function(d) { return \"translate(\" + x(d.x0) + \",\" + y(d.length) + \")\"; })\n        .attr(\"width\", function(d) { return x(d.x1) - x(d.x0) -1 ; })\n        .attr(\"height\", function(d) { return height - y(d.length); })\n        .style(\"fill\", \"steelblue\")\n\n}) })(element);\n"
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#%js\n",
    "js-d3-histogram(%degrees.values, :$background)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "-----\n",
    "\n",
    "## Random graphs by distribution specs"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here we use graph distribution specifications:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[Graph::Distribution::Uniform.new(vertex-count => 22, edges-count => 100) Graph::Distribution::Uniform.new(vertex-count => 26, edges-count => 72) Graph::Distribution::BarabasiAlbert.new(vertex-count => 30, edges-count => 2) Graph::Distribution::Bernoulli.new(vertex-count => 16, p => 0.6) Graph::Distribution::Bernoulli.new(vertex-count => 20, p => 0.3) Graph::Distribution::WattsStrogatz.new(vertex-count => 20, p => 0.07) Graph::Distribution::Price.new(vertex-count => 20, edges-count => 2, attractiveness => 1) Graph::Distribution::Spatial.new(vertex-count => 20, radius => 0.25, dimension => 2)]"
      ]
     },
     "execution_count": 45,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "my @dists =\n",
    "    |(Graph::Distribution::Uniform.new((10..40).pick, (20..100).pick) xx 2), \n",
    "    Graph::Distribution::BarabasiAlbert.new(30,2),\n",
    "    Graph::Distribution::Bernoulli.new(16,0.6),\n",
    "    Graph::Distribution::Bernoulli.new(20,0.3),\n",
    "    Graph::Distribution::WattsStrogatz.new(20,0.07),\n",
    "    Graph::Distribution::Price.new(20, 2, 1),\n",
    "    Graph::Distribution::Spatial.new(20, 0.25);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": "(function(element) { require(['d3'], function(d3) {\n\n// set the dimensions and margins of the graph\nvar margin = {\"top\":40,\"right\":40,\"left\":40,\"bottom\":40},\n    width = 600 - margin.left - margin.right,\n    height = 371 - margin.top - margin.bottom;\n\n// append the svg object to the body of the page\nvar svg = d3\n   .select(element.get(0))\n  .append(\"svg\")\n    .attr(\"width\", width + margin.left + margin.right)\n    .attr(\"height\", height + margin.top + margin.bottom)\n    .style(\"background\", \"#1F1F1F\")\n  .append(\"g\")\n    .attr(\"transform\",\n          \"translate(\" + margin.left + \",\" + margin.top + \")\")\n\n// Obtain title\nvar title = \"Graph::Distribution::Uniform.new(vertex-count => 22, edges-count => 100)\"\nvar titleFontSize = 16\n\nif ( title.length > 0 ) {\n    svg.append(\"text\")\n        .attr(\"x\", (width / 2))\n        .attr(\"y\", 0 - (margin.top / 2))\n        .attr(\"text-anchor\", \"middle\")\n        .style(\"font-size\", titleFontSize.toString() + \"px\")\n        .style(\"fill\", \"Ivory\")\n        .text(title);\n}\n\nconst edges = [{\"weight\":1,\"from\":\"13\",\"label\":\"\",\"to\":\"20\"},{\"label\":\"\",\"to\":\"22\",\"weight\":1,\"from\":\"20\"},{\"weight\":1,\"from\":\"15\",\"label\":\"\",\"to\":\"20\"},{\"label\":\"\",\"to\":\"3\",\"weight\":1,\"from\":\"20\"},{\"to\":\"20\",\"from\":\"2\",\"weight\":1,\"label\":\"\"},{\"from\":\"19\",\"to\":\"20\",\"weight\":1,\"label\":\"\"},{\"to\":\"20\",\"weight\":1,\"from\":\"12\",\"label\":\"\"},{\"weight\":1,\"label\":\"\",\"from\":\"20\",\"to\":\"8\"},{\"label\":\"\",\"from\":\"20\",\"to\":\"6\",\"weight\":1},{\"from\":\"13\",\"label\":\"\",\"weight\":1,\"to\":\"21\"},{\"weight\":1,\"label\":\"\",\"from\":\"21\",\"to\":\"5\"},{\"from\":\"21\",\"to\":\"3\",\"weight\":1,\"label\":\"\"},{\"from\":\"19\",\"to\":\"21\",\"label\":\"\",\"weight\":1},{\"from\":\"11\",\"weight\":1,\"label\":\"\",\"to\":\"21\"},{\"label\":\"\",\"from\":\"21\",\"to\":\"9\",\"weight\":1},{\"from\":\"2\",\"to\":\"21\",\"label\":\"\",\"weight\":1},{\"to\":\"21\",\"weight\":1,\"label\":\"\",\"from\":\"16\"},{\"to\":\"4\",\"from\":\"21\",\"label\":\"\",\"weight\":1},{\"weight\":1,\"label\":\"\",\"to\":\"21\",\"from\":\"1\"},{\"to\":\"7\",\"from\":\"6\",\"weight\":1,\"label\":\"\"},{\"label\":\"\",\"to\":\"6\",\"weight\":1,\"from\":\"22\"},{\"label\":\"\",\"to\":\"6\",\"from\":\"13\",\"weight\":1},{\"weight\":1,\"from\":\"14\",\"to\":\"6\",\"label\":\"\"},{\"weight\":1,\"label\":\"\",\"from\":\"12\",\"to\":\"6\"},{\"weight\":1,\"to\":\"18\",\"from\":\"10\",\"label\":\"\"},{\"label\":\"\",\"to\":\"18\",\"from\":\"13\",\"weight\":1},{\"label\":\"\",\"from\":\"17\",\"to\":\"18\",\"weight\":1},{\"to\":\"19\",\"weight\":1,\"label\":\"\",\"from\":\"18\"},{\"to\":\"18\",\"from\":\"15\",\"weight\":1,\"label\":\"\"},{\"label\":\"\",\"to\":\"5\",\"from\":\"18\",\"weight\":1},{\"weight\":1,\"label\":\"\",\"to\":\"18\",\"from\":\"12\"},{\"weight\":1,\"to\":\"3\",\"label\":\"\",\"from\":\"18\"},{\"weight\":1,\"to\":\"4\",\"label\":\"\",\"from\":\"18\"},{\"from\":\"14\",\"to\":\"18\",\"weight\":1,\"label\":\"\"},{\"weight\":1,\"from\":\"16\",\"label\":\"\",\"to\":\"4\"},{\"from\":\"16\",\"to\":\"7\",\"label\":\"\",\"weight\":1},{\"from\":\"16\",\"label\":\"\",\"to\":\"3\",\"weight\":1},{\"from\":\"12\",\"label\":\"\",\"to\":\"16\",\"weight\":1},{\"label\":\"\",\"to\":\"5\",\"from\":\"16\",\"weight\":1},{\"weight\":1,\"to\":\"22\",\"from\":\"16\",\"label\":\"\"},{\"label\":\"\",\"to\":\"12\",\"from\":\"11\",\"weight\":1},{\"from\":\"12\",\"label\":\"\",\"weight\":1,\"to\":\"4\"},{\"from\":\"12\",\"weight\":1,\"label\":\"\",\"to\":\"17\"},{\"weight\":1,\"label\":\"\",\"to\":\"7\",\"from\":\"12\"},{\"from\":\"22\",\"label\":\"\",\"weight\":1,\"to\":\"5\"},{\"label\":\"\",\"weight\":1,\"from\":\"13\",\"to\":\"5\"},{\"to\":\"5\",\"label\":\"\",\"weight\":1,\"from\":\"14\"},{\"from\":\"19\",\"to\":\"5\",\"weight\":1,\"label\":\"\"},{\"from\":\"11\",\"label\":\"\",\"weight\":1,\"to\":\"5\"},{\"weight\":1,\"to\":\"5\",\"from\":\"2\",\"label\":\"\"},{\"weight\":1,\"label\":\"\",\"to\":\"5\",\"from\":\"1\"},{\"to\":\"7\",\"from\":\"11\",\"label\":\"\",\"weight\":1},{\"weight\":1,\"to\":\"7\",\"from\":\"15\",\"label\":\"\"},{\"from\":\"10\",\"to\":\"7\",\"weight\":1,\"label\":\"\"},{\"to\":\"7\",\"weight\":1,\"from\":\"19\",\"label\":\"\"},{\"from\":\"3\",\"label\":\"\",\"to\":\"7\",\"weight\":1},{\"from\":\"17\",\"label\":\"\",\"to\":\"2\",\"weight\":1},{\"weight\":1,\"to\":\"17\",\"from\":\"13\",\"label\":\"\"},{\"weight\":1,\"label\":\"\",\"from\":\"17\",\"to\":\"22\"},{\"label\":\"\",\"weight\":1,\"from\":\"17\",\"to\":\"19\"},{\"from\":\"11\",\"weight\":1,\"label\":\"\",\"to\":\"17\"},{\"weight\":1,\"from\":\"17\",\"to\":\"3\",\"label\":\"\"},{\"from\":\"10\",\"to\":\"14\",\"label\":\"\",\"weight\":1},{\"from\":\"13\",\"to\":\"14\",\"label\":\"\",\"weight\":1},{\"weight\":1,\"from\":\"14\",\"label\":\"\",\"to\":\"15\"},{\"from\":\"1\",\"label\":\"\",\"weight\":1,\"to\":\"15\"},{\"label\":\"\",\"to\":\"15\",\"weight\":1,\"from\":\"11\"},{\"label\":\"\",\"from\":\"15\",\"to\":\"3\",\"weight\":1},{\"from\":\"13\",\"label\":\"\",\"weight\":1,\"to\":\"15\"},{\"weight\":1,\"from\":\"15\",\"label\":\"\",\"to\":\"4\"},{\"from\":\"10\",\"weight\":1,\"to\":\"15\",\"label\":\"\"},{\"label\":\"\",\"to\":\"19\",\"from\":\"15\",\"weight\":1},{\"label\":\"\",\"weight\":1,\"from\":\"15\",\"to\":\"9\"},{\"weight\":1,\"to\":\"22\",\"from\":\"15\",\"label\":\"\"},{\"label\":\"\",\"weight\":1,\"from\":\"10\",\"to\":\"4\"},{\"to\":\"9\",\"weight\":1,\"from\":\"10\",\"label\":\"\"},{\"to\":\"10\",\"weight\":1,\"from\":\"1\",\"label\":\"\"},{\"from\":\"10\",\"label\":\"\",\"weight\":1,\"to\":\"2\"},{\"from\":\"10\",\"weight\":1,\"to\":\"22\",\"label\":\"\"},{\"weight\":1,\"label\":\"\",\"from\":\"10\",\"to\":\"3\"},{\"label\":\"\",\"to\":\"4\",\"from\":\"1\",\"weight\":1},{\"label\":\"\",\"to\":\"2\",\"from\":\"1\",\"weight\":1},{\"weight\":1,\"label\":\"\",\"to\":\"9\",\"from\":\"1\"},{\"to\":\"11\",\"from\":\"1\",\"label\":\"\",\"weight\":1},{\"weight\":1,\"from\":\"13\",\"label\":\"\",\"to\":\"3\"},{\"to\":\"3\",\"label\":\"\",\"weight\":1,\"from\":\"19\"},{\"to\":\"3\",\"weight\":1,\"label\":\"\",\"from\":\"2\"},{\"to\":\"3\",\"label\":\"\",\"weight\":1,\"from\":\"11\"},{\"to\":\"4\",\"from\":\"11\",\"label\":\"\",\"weight\":1},{\"from\":\"11\",\"to\":\"19\",\"label\":\"\",\"weight\":1},{\"weight\":1,\"label\":\"\",\"to\":\"13\",\"from\":\"11\"},{\"weight\":1,\"from\":\"11\",\"to\":\"2\",\"label\":\"\"},{\"to\":\"2\",\"weight\":1,\"label\":\"\",\"from\":\"13\"},{\"from\":\"13\",\"label\":\"\",\"weight\":1,\"to\":\"9\"},{\"from\":\"19\",\"weight\":1,\"label\":\"\",\"to\":\"4\"},{\"to\":\"4\",\"label\":\"\",\"from\":\"2\",\"weight\":1},{\"to\":\"22\",\"from\":\"2\",\"label\":\"\",\"weight\":1},{\"label\":\"\",\"to\":\"9\",\"weight\":1,\"from\":\"22\"},{\"to\":\"9\",\"from\":\"2\",\"weight\":1,\"label\":\"\"},{\"label\":\"\",\"to\":\"2\",\"from\":\"19\",\"weight\":1}];\n\nconst nodes = Array.from(new Set(edges.flatMap(e => [e.from, e.to])), id => ({id}));\n\nconst highlightSpecs = {};\n\nconst links = edges.map(e => ({\n  source: e.from,\n  target: e.to,\n  weight: e.weight,\n  label: e.label,\n}));\n\n//.force(\"link\", d3.forceLink(links).id(d => d.id).distance(d => Math.max(d.weight * 20, 2 * 4)))\nconst simulation = d3.forceSimulation(nodes)\n    .force(\"link\", d3.forceLink(links).id(d => d.id).iterations(1))\n    .force(\"charge\", d3.forceManyBody().strength(-120).distanceMin(1).distanceMax(2000))\n    .force(\"x\", d3.forceX())\n    .force(\"y\", d3.forceY())\n    .force(\"collision\", d3.forceCollide())\n    .force(\"center\", d3.forceCenter(width / 2, height / 2));\n\nsvg.append('defs').append('marker')\n    .attr(\"id\",'arrowhead')\n    .attr('viewBox','-0 -5 10 10') //the bound of the SVG viewport for the current SVG fragment. defines a coordinate system 10 wide and 10 high starting on (0,-5)\n     .attr('refX', 8) // x coordinate for the reference point of the marker. If circle is bigger, this need to be bigger.\n     .attr('refY',0)\n     .attr('orient','auto')\n        .attr('markerWidth', 3)\n        .attr('markerHeight', 3)\n        .attr('xoverflow','visible')\n    .append('svg:path')\n    .attr('d', 'M 0,-5 L 10 ,0 L 0,5')\n    .attr('fill', \"SteelBlue\")\n    .style('stroke','none');\n\nconst link = svg.append(\"g\")\n    .attr(\"class\", \"links\")\n  .selectAll(\"line\")\n  .data(links)\n  .enter().append(\"line\")\n    .attr(\"class\", \"link\")\n    .attr(\"stroke\", d => {\n        for (const [color, items] of Object.entries(highlightSpecs)) {\n            if (items.some(item => Array.isArray(item) && item[0] === d.source.id && item[1] === d.target.id)) {\n                return color;\n            }\n        }\n        return \"SteelBlue\";\n    })\n    .attr(\"stroke-width\", 1)\n    \n\nconst node = svg.append(\"g\")\n    .attr(\"class\", \"nodes\")\n  .selectAll(\"circle\")\n  .data(nodes)\n  .enter().append(\"circle\")\n    .attr(\"class\", \"node\")\n    .attr(\"r\", 2)\n    .attr(\"stroke\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .attr(\"fill\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .call(drag(simulation));\n\nnode.append(\"title\")\n    .text(d => d.id);\n\nconst nodeLabel = svg.append(\"g\")\n    .attr(\"class\", \"node-labels\")\n  .selectAll(\"text\")\n  .data(nodes)\n  .enter().append(\"text\")\n    .attr(\"class\", \"node-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier New\")\n    .attr(\"font-weight\", 100)\n    .attr(\"dy\", -10)\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.id);\n\nconst linkLabel = svg.append(\"g\")\n    .attr(\"class\", \"link-labels\")\n  .selectAll(\"text\")\n  .data(links)\n  .enter().append(\"text\")\n    .filter(d => d.label !== \"\")\n    .attr(\"class\", \"link-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier\")\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.label);\n\nsimulation.on(\"tick\", () => {\n  link\n      .attr(\"x1\", d => d.source.x)\n      .attr(\"y1\", d => d.source.y)\n      .attr(\"x2\", d => d.target.x)\n      .attr(\"y2\", d => d.target.y);\n\n  node\n      .attr(\"cx\", d => d.x)\n      .attr(\"cy\", d => d.y);\n\n  nodeLabel\n      .attr(\"x\", d => d.x)\n      .attr(\"y\", d => d.y);\n\n  linkLabel\n      .attr(\"x\", d => (d.source.x + d.target.x) / 2)\n      .attr(\"y\", d => (d.source.y + d.target.y) / 2);\n});\n\nfunction drag(simulation) {\n  function dragstarted(event, d) {\n    if (!event.active) simulation.alphaTarget(0.3).restart();\n    d.fx = d.x;\n    d.fy = d.y;\n  }\n\n  function dragged(event, d) {\n    d.fx = event.x;\n    d.fy = event.y;\n  }\n\n  function dragended(event, d) {\n    if (!event.active) simulation.alphaTarget(0);\n    d.fx = null;\n    d.fy = null;\n  }\n\n  return d3.drag()\n      .on(\"start\", dragstarted)\n      .on(\"drag\", dragged)\n      .on(\"end\", dragended);\n}\n\n}) })(element);\n\n(function(element) { require(['d3'], function(d3) {\n\n// set the dimensions and margins of the graph\nvar margin = {\"left\":40,\"right\":40,\"bottom\":40,\"top\":40},\n    width = 600 - margin.left - margin.right,\n    height = 371 - margin.top - margin.bottom;\n\n// append the svg object to the body of the page\nvar svg = d3\n   .select(element.get(0))\n  .append(\"svg\")\n    .attr(\"width\", width + margin.left + margin.right)\n    .attr(\"height\", height + margin.top + margin.bottom)\n    .style(\"background\", \"#1F1F1F\")\n  .append(\"g\")\n    .attr(\"transform\",\n          \"translate(\" + margin.left + \",\" + margin.top + \")\")\n\n// Obtain title\nvar title = \"Graph::Distribution::Uniform.new(vertex-count => 26, edges-count => 72)\"\nvar titleFontSize = 16\n\nif ( title.length > 0 ) {\n    svg.append(\"text\")\n        .attr(\"x\", (width / 2))\n        .attr(\"y\", 0 - (margin.top / 2))\n        .attr(\"text-anchor\", \"middle\")\n        .style(\"font-size\", titleFontSize.toString() + \"px\")\n        .style(\"fill\", \"Ivory\")\n        .text(title);\n}\n\nconst edges = [{\"to\":\"9\",\"from\":\"3\",\"label\":\"\",\"weight\":1},{\"weight\":1,\"label\":\"\",\"from\":\"12\",\"to\":\"3\"},{\"label\":\"\",\"weight\":1,\"to\":\"3\",\"from\":\"2\"},{\"label\":\"\",\"weight\":1,\"to\":\"3\",\"from\":\"15\"},{\"from\":\"14\",\"weight\":1,\"to\":\"3\",\"label\":\"\"},{\"label\":\"\",\"to\":\"3\",\"from\":\"20\",\"weight\":1},{\"to\":\"3\",\"from\":\"17\",\"label\":\"\",\"weight\":1},{\"weight\":1,\"label\":\"\",\"to\":\"21\",\"from\":\"2\"},{\"label\":\"\",\"from\":\"2\",\"to\":\"7\",\"weight\":1},{\"weight\":1,\"from\":\"13\",\"label\":\"\",\"to\":\"2\"},{\"from\":\"2\",\"to\":\"5\",\"weight\":1,\"label\":\"\"},{\"from\":\"2\",\"to\":\"6\",\"weight\":1,\"label\":\"\"},{\"weight\":1,\"to\":\"26\",\"from\":\"2\",\"label\":\"\"},{\"label\":\"\",\"to\":\"22\",\"from\":\"13\",\"weight\":1},{\"label\":\"\",\"weight\":1,\"to\":\"13\",\"from\":\"10\"},{\"from\":\"13\",\"to\":\"23\",\"weight\":1,\"label\":\"\"},{\"weight\":1,\"to\":\"4\",\"label\":\"\",\"from\":\"13\"},{\"to\":\"17\",\"label\":\"\",\"weight\":1,\"from\":\"13\"},{\"to\":\"13\",\"label\":\"\",\"from\":\"11\",\"weight\":1},{\"weight\":1,\"to\":\"8\",\"label\":\"\",\"from\":\"13\"},{\"label\":\"\",\"weight\":1,\"from\":\"13\",\"to\":\"24\"},{\"weight\":1,\"to\":\"7\",\"from\":\"6\",\"label\":\"\"},{\"label\":\"\",\"to\":\"6\",\"weight\":1,\"from\":\"16\"},{\"label\":\"\",\"weight\":1,\"to\":\"6\",\"from\":\"21\"},{\"from\":\"12\",\"label\":\"\",\"weight\":1,\"to\":\"6\"},{\"from\":\"5\",\"label\":\"\",\"to\":\"6\",\"weight\":1},{\"weight\":1,\"from\":\"19\",\"label\":\"\",\"to\":\"26\"},{\"from\":\"26\",\"weight\":1,\"to\":\"4\",\"label\":\"\"},{\"weight\":1,\"to\":\"26\",\"from\":\"17\",\"label\":\"\"},{\"weight\":1,\"to\":\"8\",\"from\":\"22\",\"label\":\"\"},{\"from\":\"22\",\"weight\":1,\"to\":\"5\",\"label\":\"\"},{\"from\":\"22\",\"to\":\"24\",\"label\":\"\",\"weight\":1},{\"label\":\"\",\"to\":\"22\",\"from\":\"18\",\"weight\":1},{\"from\":\"22\",\"to\":\"25\",\"label\":\"\",\"weight\":1},{\"to\":\"7\",\"weight\":1,\"from\":\"25\",\"label\":\"\"},{\"to\":\"25\",\"from\":\"20\",\"label\":\"\",\"weight\":1},{\"weight\":1,\"from\":\"21\",\"to\":\"25\",\"label\":\"\"},{\"weight\":1,\"label\":\"\",\"to\":\"5\",\"from\":\"25\"},{\"weight\":1,\"to\":\"25\",\"label\":\"\",\"from\":\"19\"},{\"weight\":1,\"from\":\"1\",\"label\":\"\",\"to\":\"15\"},{\"to\":\"17\",\"weight\":1,\"label\":\"\",\"from\":\"1\"},{\"to\":\"9\",\"from\":\"21\",\"weight\":1,\"label\":\"\"},{\"weight\":1,\"label\":\"\",\"from\":\"21\",\"to\":\"23\"},{\"label\":\"\",\"to\":\"18\",\"weight\":1,\"from\":\"16\"},{\"weight\":1,\"from\":\"12\",\"to\":\"16\",\"label\":\"\"},{\"from\":\"11\",\"label\":\"\",\"to\":\"16\",\"weight\":1},{\"weight\":1,\"from\":\"16\",\"to\":\"24\",\"label\":\"\"},{\"to\":\"4\",\"from\":\"23\",\"weight\":1,\"label\":\"\"},{\"from\":\"12\",\"to\":\"23\",\"label\":\"\",\"weight\":1},{\"to\":\"23\",\"label\":\"\",\"from\":\"19\",\"weight\":1},{\"from\":\"14\",\"to\":\"23\",\"weight\":1,\"label\":\"\"},{\"to\":\"20\",\"from\":\"15\",\"label\":\"\",\"weight\":1},{\"label\":\"\",\"to\":\"9\",\"weight\":1,\"from\":\"20\"},{\"to\":\"24\",\"label\":\"\",\"from\":\"18\",\"weight\":1},{\"to\":\"4\",\"weight\":1,\"from\":\"18\",\"label\":\"\"},{\"weight\":1,\"to\":\"24\",\"from\":\"15\",\"label\":\"\"},{\"from\":\"10\",\"label\":\"\",\"weight\":1,\"to\":\"9\"},{\"to\":\"7\",\"label\":\"\",\"from\":\"4\",\"weight\":1},{\"weight\":1,\"to\":\"8\",\"label\":\"\",\"from\":\"17\"},{\"from\":\"11\",\"label\":\"\",\"to\":\"17\",\"weight\":1},{\"from\":\"24\",\"weight\":1,\"label\":\"\",\"to\":\"9\"},{\"to\":\"9\",\"from\":\"14\",\"label\":\"\",\"weight\":1},{\"from\":\"14\",\"label\":\"\",\"weight\":1,\"to\":\"5\"},{\"from\":\"11\",\"label\":\"\",\"to\":\"5\",\"weight\":1},{\"to\":\"5\",\"from\":\"24\",\"label\":\"\",\"weight\":1},{\"weight\":1,\"from\":\"11\",\"label\":\"\",\"to\":\"19\"},{\"from\":\"19\",\"label\":\"\",\"weight\":1,\"to\":\"4\"},{\"label\":\"\",\"to\":\"8\",\"from\":\"12\",\"weight\":1},{\"weight\":1,\"from\":\"24\",\"label\":\"\",\"to\":\"8\"},{\"to\":\"8\",\"from\":\"4\",\"label\":\"\",\"weight\":1},{\"label\":\"\",\"from\":\"14\",\"to\":\"4\",\"weight\":1},{\"to\":\"24\",\"weight\":1,\"label\":\"\",\"from\":\"14\"}];\n\nconst nodes = Array.from(new Set(edges.flatMap(e => [e.from, e.to])), id => ({id}));\n\nconst highlightSpecs = {};\n\nconst links = edges.map(e => ({\n  source: e.from,\n  target: e.to,\n  weight: e.weight,\n  label: e.label,\n}));\n\n//.force(\"link\", d3.forceLink(links).id(d => d.id).distance(d => Math.max(d.weight * 20, 2 * 4)))\nconst simulation = d3.forceSimulation(nodes)\n    .force(\"link\", d3.forceLink(links).id(d => d.id).iterations(1))\n    .force(\"charge\", d3.forceManyBody().strength(-120).distanceMin(1).distanceMax(2000))\n    .force(\"x\", d3.forceX())\n    .force(\"y\", d3.forceY())\n    .force(\"collision\", d3.forceCollide())\n    .force(\"center\", d3.forceCenter(width / 2, height / 2));\n\nsvg.append('defs').append('marker')\n    .attr(\"id\",'arrowhead')\n    .attr('viewBox','-0 -5 10 10') //the bound of the SVG viewport for the current SVG fragment. defines a coordinate system 10 wide and 10 high starting on (0,-5)\n     .attr('refX', 8) // x coordinate for the reference point of the marker. If circle is bigger, this need to be bigger.\n     .attr('refY',0)\n     .attr('orient','auto')\n        .attr('markerWidth', 3)\n        .attr('markerHeight', 3)\n        .attr('xoverflow','visible')\n    .append('svg:path')\n    .attr('d', 'M 0,-5 L 10 ,0 L 0,5')\n    .attr('fill', \"SteelBlue\")\n    .style('stroke','none');\n\nconst link = svg.append(\"g\")\n    .attr(\"class\", \"links\")\n  .selectAll(\"line\")\n  .data(links)\n  .enter().append(\"line\")\n    .attr(\"class\", \"link\")\n    .attr(\"stroke\", d => {\n        for (const [color, items] of Object.entries(highlightSpecs)) {\n            if (items.some(item => Array.isArray(item) && item[0] === d.source.id && item[1] === d.target.id)) {\n                return color;\n            }\n        }\n        return \"SteelBlue\";\n    })\n    .attr(\"stroke-width\", 1)\n    \n\nconst node = svg.append(\"g\")\n    .attr(\"class\", \"nodes\")\n  .selectAll(\"circle\")\n  .data(nodes)\n  .enter().append(\"circle\")\n    .attr(\"class\", \"node\")\n    .attr(\"r\", 2)\n    .attr(\"stroke\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .attr(\"fill\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .call(drag(simulation));\n\nnode.append(\"title\")\n    .text(d => d.id);\n\nconst nodeLabel = svg.append(\"g\")\n    .attr(\"class\", \"node-labels\")\n  .selectAll(\"text\")\n  .data(nodes)\n  .enter().append(\"text\")\n    .attr(\"class\", \"node-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier New\")\n    .attr(\"font-weight\", 100)\n    .attr(\"dy\", -10)\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.id);\n\nconst linkLabel = svg.append(\"g\")\n    .attr(\"class\", \"link-labels\")\n  .selectAll(\"text\")\n  .data(links)\n  .enter().append(\"text\")\n    .filter(d => d.label !== \"\")\n    .attr(\"class\", \"link-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier\")\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.label);\n\nsimulation.on(\"tick\", () => {\n  link\n      .attr(\"x1\", d => d.source.x)\n      .attr(\"y1\", d => d.source.y)\n      .attr(\"x2\", d => d.target.x)\n      .attr(\"y2\", d => d.target.y);\n\n  node\n      .attr(\"cx\", d => d.x)\n      .attr(\"cy\", d => d.y);\n\n  nodeLabel\n      .attr(\"x\", d => d.x)\n      .attr(\"y\", d => d.y);\n\n  linkLabel\n      .attr(\"x\", d => (d.source.x + d.target.x) / 2)\n      .attr(\"y\", d => (d.source.y + d.target.y) / 2);\n});\n\nfunction drag(simulation) {\n  function dragstarted(event, d) {\n    if (!event.active) simulation.alphaTarget(0.3).restart();\n    d.fx = d.x;\n    d.fy = d.y;\n  }\n\n  function dragged(event, d) {\n    d.fx = event.x;\n    d.fy = event.y;\n  }\n\n  function dragended(event, d) {\n    if (!event.active) simulation.alphaTarget(0);\n    d.fx = null;\n    d.fy = null;\n  }\n\n  return d3.drag()\n      .on(\"start\", dragstarted)\n      .on(\"drag\", dragged)\n      .on(\"end\", dragended);\n}\n\n}) })(element);\n\n(function(element) { require(['d3'], function(d3) {\n\n// set the dimensions and margins of the graph\nvar margin = {\"top\":40,\"bottom\":40,\"left\":40,\"right\":40},\n    width = 600 - margin.left - margin.right,\n    height = 371 - margin.top - margin.bottom;\n\n// append the svg object to the body of the page\nvar svg = d3\n   .select(element.get(0))\n  .append(\"svg\")\n    .attr(\"width\", width + margin.left + margin.right)\n    .attr(\"height\", height + margin.top + margin.bottom)\n    .style(\"background\", \"#1F1F1F\")\n  .append(\"g\")\n    .attr(\"transform\",\n          \"translate(\" + margin.left + \",\" + margin.top + \")\")\n\n// Obtain title\nvar title = \"Graph::Distribution::BarabasiAlbert.new(vertex-count => 30, edges-count => 2)\"\nvar titleFontSize = 16\n\nif ( title.length > 0 ) {\n    svg.append(\"text\")\n        .attr(\"x\", (width / 2))\n        .attr(\"y\", 0 - (margin.top / 2))\n        .attr(\"text-anchor\", \"middle\")\n        .style(\"font-size\", titleFontSize.toString() + \"px\")\n        .style(\"fill\", \"Ivory\")\n        .text(title);\n}\n\nconst edges = [{\"from\":\"1\",\"weight\":1,\"label\":\"\",\"to\":\"10\"},{\"weight\":1,\"label\":\"\",\"to\":\"12\",\"from\":\"1\"},{\"weight\":1,\"to\":\"16\",\"from\":\"1\",\"label\":\"\"},{\"label\":\"\",\"weight\":1,\"from\":\"1\",\"to\":\"17\"},{\"weight\":1,\"from\":\"1\",\"to\":\"7\",\"label\":\"\"},{\"weight\":1,\"label\":\"\",\"to\":\"24\",\"from\":\"1\"},{\"weight\":1,\"to\":\"2\",\"label\":\"\",\"from\":\"1\"},{\"to\":\"1\",\"label\":\"\",\"weight\":1,\"from\":\"0\"},{\"to\":\"4\",\"from\":\"1\",\"label\":\"\",\"weight\":1},{\"label\":\"\",\"weight\":1,\"to\":\"3\",\"from\":\"1\"},{\"from\":\"1\",\"label\":\"\",\"to\":\"15\",\"weight\":1},{\"label\":\"\",\"to\":\"23\",\"from\":\"1\",\"weight\":1},{\"label\":\"\",\"from\":\"2\",\"weight\":1,\"to\":\"22\"},{\"from\":\"10\",\"weight\":1,\"to\":\"22\",\"label\":\"\"},{\"weight\":1,\"label\":\"\",\"to\":\"28\",\"from\":\"14\"},{\"from\":\"10\",\"weight\":1,\"to\":\"14\",\"label\":\"\"},{\"from\":\"14\",\"label\":\"\",\"to\":\"2\",\"weight\":1},{\"weight\":1,\"to\":\"27\",\"from\":\"0\",\"label\":\"\"},{\"weight\":1,\"label\":\"\",\"from\":\"0\",\"to\":\"2\"},{\"label\":\"\",\"to\":\"9\",\"from\":\"0\",\"weight\":1},{\"label\":\"\",\"from\":\"20\",\"to\":\"27\",\"weight\":1},{\"label\":\"\",\"weight\":1,\"to\":\"25\",\"from\":\"13\"},{\"from\":\"12\",\"to\":\"13\",\"weight\":1,\"label\":\"\"},{\"from\":\"11\",\"weight\":1,\"label\":\"\",\"to\":\"13\"},{\"from\":\"2\",\"weight\":1,\"to\":\"29\",\"label\":\"\"},{\"from\":\"29\",\"label\":\"\",\"weight\":1,\"to\":\"3\"},{\"from\":\"2\",\"weight\":1,\"to\":\"20\",\"label\":\"\"},{\"label\":\"\",\"from\":\"20\",\"weight\":1,\"to\":\"21\"},{\"weight\":1,\"to\":\"9\",\"from\":\"20\",\"label\":\"\"},{\"to\":\"8\",\"weight\":1,\"label\":\"\",\"from\":\"18\"},{\"weight\":1,\"label\":\"\",\"from\":\"12\",\"to\":\"18\"},{\"from\":\"24\",\"weight\":1,\"label\":\"\",\"to\":\"4\"},{\"to\":\"5\",\"from\":\"19\",\"label\":\"\",\"weight\":1},{\"from\":\"10\",\"to\":\"19\",\"label\":\"\",\"weight\":1},{\"label\":\"\",\"to\":\"8\",\"from\":\"21\",\"weight\":1},{\"to\":\"8\",\"weight\":1,\"from\":\"3\",\"label\":\"\"},{\"label\":\"\",\"to\":\"8\",\"from\":\"7\",\"weight\":1},{\"weight\":1,\"to\":\"3\",\"from\":\"2\",\"label\":\"\"},{\"to\":\"5\",\"label\":\"\",\"from\":\"2\",\"weight\":1},{\"weight\":1,\"to\":\"23\",\"from\":\"2\",\"label\":\"\"},{\"label\":\"\",\"to\":\"9\",\"from\":\"2\",\"weight\":1},{\"to\":\"6\",\"from\":\"2\",\"weight\":1,\"label\":\"\"},{\"weight\":1,\"to\":\"5\",\"label\":\"\",\"from\":\"26\"},{\"label\":\"\",\"weight\":1,\"from\":\"26\",\"to\":\"3\"},{\"to\":\"9\",\"label\":\"\",\"from\":\"16\",\"weight\":1},{\"to\":\"25\",\"from\":\"12\",\"label\":\"\",\"weight\":1},{\"weight\":1,\"to\":\"3\",\"label\":\"\",\"from\":\"12\"},{\"from\":\"10\",\"weight\":1,\"label\":\"\",\"to\":\"3\"},{\"to\":\"17\",\"label\":\"\",\"from\":\"10\",\"weight\":1},{\"from\":\"11\",\"weight\":1,\"label\":\"\",\"to\":\"4\"},{\"label\":\"\",\"weight\":1,\"to\":\"5\",\"from\":\"11\"},{\"from\":\"11\",\"label\":\"\",\"weight\":1,\"to\":\"28\"},{\"weight\":1,\"from\":\"3\",\"label\":\"\",\"to\":\"4\"},{\"weight\":1,\"to\":\"5\",\"label\":\"\",\"from\":\"4\"},{\"to\":\"7\",\"from\":\"4\",\"label\":\"\",\"weight\":1},{\"from\":\"4\",\"label\":\"\",\"weight\":1,\"to\":\"6\"}];\n\nconst nodes = Array.from(new Set(edges.flatMap(e => [e.from, e.to])), id => ({id}));\n\nconst highlightSpecs = {};\n\nconst links = edges.map(e => ({\n  source: e.from,\n  target: e.to,\n  weight: e.weight,\n  label: e.label,\n}));\n\n//.force(\"link\", d3.forceLink(links).id(d => d.id).distance(d => Math.max(d.weight * 20, 2 * 4)))\nconst simulation = d3.forceSimulation(nodes)\n    .force(\"link\", d3.forceLink(links).id(d => d.id).iterations(1))\n    .force(\"charge\", d3.forceManyBody().strength(-120).distanceMin(1).distanceMax(2000))\n    .force(\"x\", d3.forceX())\n    .force(\"y\", d3.forceY())\n    .force(\"collision\", d3.forceCollide())\n    .force(\"center\", d3.forceCenter(width / 2, height / 2));\n\nsvg.append('defs').append('marker')\n    .attr(\"id\",'arrowhead')\n    .attr('viewBox','-0 -5 10 10') //the bound of the SVG viewport for the current SVG fragment. defines a coordinate system 10 wide and 10 high starting on (0,-5)\n     .attr('refX', 8) // x coordinate for the reference point of the marker. If circle is bigger, this need to be bigger.\n     .attr('refY',0)\n     .attr('orient','auto')\n        .attr('markerWidth', 3)\n        .attr('markerHeight', 3)\n        .attr('xoverflow','visible')\n    .append('svg:path')\n    .attr('d', 'M 0,-5 L 10 ,0 L 0,5')\n    .attr('fill', \"SteelBlue\")\n    .style('stroke','none');\n\nconst link = svg.append(\"g\")\n    .attr(\"class\", \"links\")\n  .selectAll(\"line\")\n  .data(links)\n  .enter().append(\"line\")\n    .attr(\"class\", \"link\")\n    .attr(\"stroke\", d => {\n        for (const [color, items] of Object.entries(highlightSpecs)) {\n            if (items.some(item => Array.isArray(item) && item[0] === d.source.id && item[1] === d.target.id)) {\n                return color;\n            }\n        }\n        return \"SteelBlue\";\n    })\n    .attr(\"stroke-width\", 1)\n    \n\nconst node = svg.append(\"g\")\n    .attr(\"class\", \"nodes\")\n  .selectAll(\"circle\")\n  .data(nodes)\n  .enter().append(\"circle\")\n    .attr(\"class\", \"node\")\n    .attr(\"r\", 2)\n    .attr(\"stroke\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .attr(\"fill\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .call(drag(simulation));\n\nnode.append(\"title\")\n    .text(d => d.id);\n\nconst nodeLabel = svg.append(\"g\")\n    .attr(\"class\", \"node-labels\")\n  .selectAll(\"text\")\n  .data(nodes)\n  .enter().append(\"text\")\n    .attr(\"class\", \"node-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier New\")\n    .attr(\"font-weight\", 100)\n    .attr(\"dy\", -10)\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.id);\n\nconst linkLabel = svg.append(\"g\")\n    .attr(\"class\", \"link-labels\")\n  .selectAll(\"text\")\n  .data(links)\n  .enter().append(\"text\")\n    .filter(d => d.label !== \"\")\n    .attr(\"class\", \"link-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier\")\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.label);\n\nsimulation.on(\"tick\", () => {\n  link\n      .attr(\"x1\", d => d.source.x)\n      .attr(\"y1\", d => d.source.y)\n      .attr(\"x2\", d => d.target.x)\n      .attr(\"y2\", d => d.target.y);\n\n  node\n      .attr(\"cx\", d => d.x)\n      .attr(\"cy\", d => d.y);\n\n  nodeLabel\n      .attr(\"x\", d => d.x)\n      .attr(\"y\", d => d.y);\n\n  linkLabel\n      .attr(\"x\", d => (d.source.x + d.target.x) / 2)\n      .attr(\"y\", d => (d.source.y + d.target.y) / 2);\n});\n\nfunction drag(simulation) {\n  function dragstarted(event, d) {\n    if (!event.active) simulation.alphaTarget(0.3).restart();\n    d.fx = d.x;\n    d.fy = d.y;\n  }\n\n  function dragged(event, d) {\n    d.fx = event.x;\n    d.fy = event.y;\n  }\n\n  function dragended(event, d) {\n    if (!event.active) simulation.alphaTarget(0);\n    d.fx = null;\n    d.fy = null;\n  }\n\n  return d3.drag()\n      .on(\"start\", dragstarted)\n      .on(\"drag\", dragged)\n      .on(\"end\", dragended);\n}\n\n}) })(element);\n\n(function(element) { require(['d3'], function(d3) {\n\n// set the dimensions and margins of the graph\nvar margin = {\"top\":40,\"bottom\":40,\"right\":40,\"left\":40},\n    width = 600 - margin.left - margin.right,\n    height = 371 - margin.top - margin.bottom;\n\n// append the svg object to the body of the page\nvar svg = d3\n   .select(element.get(0))\n  .append(\"svg\")\n    .attr(\"width\", width + margin.left + margin.right)\n    .attr(\"height\", height + margin.top + margin.bottom)\n    .style(\"background\", \"#1F1F1F\")\n  .append(\"g\")\n    .attr(\"transform\",\n          \"translate(\" + margin.left + \",\" + margin.top + \")\")\n\n// Obtain title\nvar title = \"Graph::Distribution::Bernoulli.new(vertex-count => 16, p => 0.6)\"\nvar titleFontSize = 16\n\nif ( title.length > 0 ) {\n    svg.append(\"text\")\n        .attr(\"x\", (width / 2))\n        .attr(\"y\", 0 - (margin.top / 2))\n        .attr(\"text-anchor\", \"middle\")\n        .style(\"font-size\", titleFontSize.toString() + \"px\")\n        .style(\"fill\", \"Ivory\")\n        .text(title);\n}\n\nconst edges = [{\"weight\":1,\"label\":\"\",\"from\":\"12\",\"to\":\"7\"},{\"from\":\"5\",\"label\":\"\",\"weight\":1,\"to\":\"7\"},{\"weight\":1,\"from\":\"2\",\"label\":\"\",\"to\":\"7\"},{\"to\":\"7\",\"label\":\"\",\"from\":\"13\",\"weight\":1},{\"weight\":1,\"to\":\"7\",\"from\":\"10\",\"label\":\"\"},{\"label\":\"\",\"weight\":1,\"from\":\"15\",\"to\":\"7\"},{\"weight\":1,\"to\":\"7\",\"label\":\"\",\"from\":\"16\"},{\"from\":\"7\",\"to\":\"9\",\"label\":\"\",\"weight\":1},{\"to\":\"4\",\"weight\":1,\"from\":\"11\",\"label\":\"\"},{\"label\":\"\",\"from\":\"11\",\"weight\":1,\"to\":\"3\"},{\"label\":\"\",\"to\":\"8\",\"weight\":1,\"from\":\"11\"},{\"from\":\"11\",\"to\":\"5\",\"label\":\"\",\"weight\":1},{\"to\":\"12\",\"from\":\"11\",\"weight\":1,\"label\":\"\"},{\"weight\":1,\"from\":\"11\",\"label\":\"\",\"to\":\"15\"},{\"from\":\"10\",\"to\":\"3\",\"weight\":1,\"label\":\"\"},{\"from\":\"1\",\"to\":\"10\",\"weight\":1,\"label\":\"\"},{\"weight\":1,\"from\":\"10\",\"to\":\"13\",\"label\":\"\"},{\"from\":\"10\",\"weight\":1,\"to\":\"5\",\"label\":\"\"},{\"label\":\"\",\"from\":\"10\",\"to\":\"15\",\"weight\":1},{\"from\":\"10\",\"weight\":1,\"label\":\"\",\"to\":\"14\"},{\"label\":\"\",\"from\":\"10\",\"weight\":1,\"to\":\"9\"},{\"weight\":1,\"from\":\"13\",\"label\":\"\",\"to\":\"15\"},{\"label\":\"\",\"to\":\"9\",\"from\":\"13\",\"weight\":1},{\"label\":\"\",\"from\":\"13\",\"weight\":1,\"to\":\"5\"},{\"to\":\"8\",\"from\":\"13\",\"label\":\"\",\"weight\":1},{\"from\":\"1\",\"weight\":1,\"to\":\"13\",\"label\":\"\"},{\"from\":\"3\",\"to\":\"4\",\"label\":\"\",\"weight\":1},{\"to\":\"5\",\"weight\":1,\"label\":\"\",\"from\":\"4\"},{\"to\":\"4\",\"weight\":1,\"label\":\"\",\"from\":\"14\"},{\"label\":\"\",\"to\":\"4\",\"from\":\"2\",\"weight\":1},{\"weight\":1,\"to\":\"9\",\"from\":\"4\",\"label\":\"\"},{\"weight\":1,\"label\":\"\",\"to\":\"6\",\"from\":\"4\"},{\"weight\":1,\"to\":\"5\",\"from\":\"14\",\"label\":\"\"},{\"to\":\"5\",\"from\":\"15\",\"weight\":1,\"label\":\"\"},{\"weight\":1,\"from\":\"2\",\"to\":\"5\",\"label\":\"\"},{\"from\":\"3\",\"label\":\"\",\"weight\":1,\"to\":\"5\"},{\"to\":\"8\",\"label\":\"\",\"from\":\"5\",\"weight\":1},{\"from\":\"1\",\"weight\":1,\"to\":\"5\",\"label\":\"\"},{\"label\":\"\",\"from\":\"3\",\"to\":\"9\",\"weight\":1},{\"weight\":1,\"label\":\"\",\"to\":\"9\",\"from\":\"1\"},{\"to\":\"9\",\"from\":\"8\",\"label\":\"\",\"weight\":1},{\"from\":\"2\",\"weight\":1,\"label\":\"\",\"to\":\"9\"},{\"weight\":1,\"label\":\"\",\"from\":\"6\",\"to\":\"9\"},{\"weight\":1,\"to\":\"8\",\"from\":\"3\",\"label\":\"\"},{\"label\":\"\",\"from\":\"16\",\"weight\":1,\"to\":\"3\"},{\"to\":\"3\",\"from\":\"2\",\"label\":\"\",\"weight\":1},{\"label\":\"\",\"to\":\"16\",\"weight\":1,\"from\":\"1\"},{\"to\":\"2\",\"from\":\"16\",\"label\":\"\",\"weight\":1},{\"from\":\"16\",\"label\":\"\",\"weight\":1,\"to\":\"8\"},{\"label\":\"\",\"weight\":1,\"from\":\"12\",\"to\":\"16\"},{\"to\":\"8\",\"weight\":1,\"from\":\"14\",\"label\":\"\"},{\"to\":\"8\",\"weight\":1,\"label\":\"\",\"from\":\"12\"},{\"from\":\"15\",\"weight\":1,\"label\":\"\",\"to\":\"8\"},{\"weight\":1,\"to\":\"14\",\"label\":\"\",\"from\":\"12\"},{\"weight\":1,\"to\":\"14\",\"label\":\"\",\"from\":\"1\"},{\"weight\":1,\"label\":\"\",\"from\":\"14\",\"to\":\"2\"},{\"weight\":1,\"to\":\"15\",\"from\":\"14\",\"label\":\"\"},{\"from\":\"12\",\"weight\":1,\"label\":\"\",\"to\":\"2\"},{\"weight\":1,\"label\":\"\",\"to\":\"6\",\"from\":\"2\"},{\"label\":\"\",\"from\":\"1\",\"to\":\"12\",\"weight\":1},{\"weight\":1,\"to\":\"6\",\"label\":\"\",\"from\":\"1\"},{\"to\":\"6\",\"label\":\"\",\"from\":\"12\",\"weight\":1},{\"from\":\"12\",\"weight\":1,\"to\":\"15\",\"label\":\"\"},{\"to\":\"6\",\"label\":\"\",\"from\":\"15\",\"weight\":1}];\n\nconst nodes = Array.from(new Set(edges.flatMap(e => [e.from, e.to])), id => ({id}));\n\nconst highlightSpecs = {};\n\nconst links = edges.map(e => ({\n  source: e.from,\n  target: e.to,\n  weight: e.weight,\n  label: e.label,\n}));\n\n//.force(\"link\", d3.forceLink(links).id(d => d.id).distance(d => Math.max(d.weight * 20, 2 * 4)))\nconst simulation = d3.forceSimulation(nodes)\n    .force(\"link\", d3.forceLink(links).id(d => d.id).iterations(1))\n    .force(\"charge\", d3.forceManyBody().strength(-120).distanceMin(1).distanceMax(2000))\n    .force(\"x\", d3.forceX())\n    .force(\"y\", d3.forceY())\n    .force(\"collision\", d3.forceCollide())\n    .force(\"center\", d3.forceCenter(width / 2, height / 2));\n\nsvg.append('defs').append('marker')\n    .attr(\"id\",'arrowhead')\n    .attr('viewBox','-0 -5 10 10') //the bound of the SVG viewport for the current SVG fragment. defines a coordinate system 10 wide and 10 high starting on (0,-5)\n     .attr('refX', 8) // x coordinate for the reference point of the marker. If circle is bigger, this need to be bigger.\n     .attr('refY',0)\n     .attr('orient','auto')\n        .attr('markerWidth', 3)\n        .attr('markerHeight', 3)\n        .attr('xoverflow','visible')\n    .append('svg:path')\n    .attr('d', 'M 0,-5 L 10 ,0 L 0,5')\n    .attr('fill', \"SteelBlue\")\n    .style('stroke','none');\n\nconst link = svg.append(\"g\")\n    .attr(\"class\", \"links\")\n  .selectAll(\"line\")\n  .data(links)\n  .enter().append(\"line\")\n    .attr(\"class\", \"link\")\n    .attr(\"stroke\", d => {\n        for (const [color, items] of Object.entries(highlightSpecs)) {\n            if (items.some(item => Array.isArray(item) && item[0] === d.source.id && item[1] === d.target.id)) {\n                return color;\n            }\n        }\n        return \"SteelBlue\";\n    })\n    .attr(\"stroke-width\", 1)\n    \n\nconst node = svg.append(\"g\")\n    .attr(\"class\", \"nodes\")\n  .selectAll(\"circle\")\n  .data(nodes)\n  .enter().append(\"circle\")\n    .attr(\"class\", \"node\")\n    .attr(\"r\", 2)\n    .attr(\"stroke\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .attr(\"fill\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .call(drag(simulation));\n\nnode.append(\"title\")\n    .text(d => d.id);\n\nconst nodeLabel = svg.append(\"g\")\n    .attr(\"class\", \"node-labels\")\n  .selectAll(\"text\")\n  .data(nodes)\n  .enter().append(\"text\")\n    .attr(\"class\", \"node-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier New\")\n    .attr(\"font-weight\", 100)\n    .attr(\"dy\", -10)\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.id);\n\nconst linkLabel = svg.append(\"g\")\n    .attr(\"class\", \"link-labels\")\n  .selectAll(\"text\")\n  .data(links)\n  .enter().append(\"text\")\n    .filter(d => d.label !== \"\")\n    .attr(\"class\", \"link-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier\")\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.label);\n\nsimulation.on(\"tick\", () => {\n  link\n      .attr(\"x1\", d => d.source.x)\n      .attr(\"y1\", d => d.source.y)\n      .attr(\"x2\", d => d.target.x)\n      .attr(\"y2\", d => d.target.y);\n\n  node\n      .attr(\"cx\", d => d.x)\n      .attr(\"cy\", d => d.y);\n\n  nodeLabel\n      .attr(\"x\", d => d.x)\n      .attr(\"y\", d => d.y);\n\n  linkLabel\n      .attr(\"x\", d => (d.source.x + d.target.x) / 2)\n      .attr(\"y\", d => (d.source.y + d.target.y) / 2);\n});\n\nfunction drag(simulation) {\n  function dragstarted(event, d) {\n    if (!event.active) simulation.alphaTarget(0.3).restart();\n    d.fx = d.x;\n    d.fy = d.y;\n  }\n\n  function dragged(event, d) {\n    d.fx = event.x;\n    d.fy = event.y;\n  }\n\n  function dragended(event, d) {\n    if (!event.active) simulation.alphaTarget(0);\n    d.fx = null;\n    d.fy = null;\n  }\n\n  return d3.drag()\n      .on(\"start\", dragstarted)\n      .on(\"drag\", dragged)\n      .on(\"end\", dragended);\n}\n\n}) })(element);\n\n(function(element) { require(['d3'], function(d3) {\n\n// set the dimensions and margins of the graph\nvar margin = {\"right\":40,\"left\":40,\"bottom\":40,\"top\":40},\n    width = 600 - margin.left - margin.right,\n    height = 371 - margin.top - margin.bottom;\n\n// append the svg object to the body of the page\nvar svg = d3\n   .select(element.get(0))\n  .append(\"svg\")\n    .attr(\"width\", width + margin.left + margin.right)\n    .attr(\"height\", height + margin.top + margin.bottom)\n    .style(\"background\", \"#1F1F1F\")\n  .append(\"g\")\n    .attr(\"transform\",\n          \"translate(\" + margin.left + \",\" + margin.top + \")\")\n\n// Obtain title\nvar title = \"Graph::Distribution::Bernoulli.new(vertex-count => 20, p => 0.3)\"\nvar titleFontSize = 16\n\nif ( title.length > 0 ) {\n    svg.append(\"text\")\n        .attr(\"x\", (width / 2))\n        .attr(\"y\", 0 - (margin.top / 2))\n        .attr(\"text-anchor\", \"middle\")\n        .style(\"font-size\", titleFontSize.toString() + \"px\")\n        .style(\"fill\", \"Ivory\")\n        .text(title);\n}\n\nconst edges = [{\"from\":\"16\",\"weight\":1,\"label\":\"\",\"to\":\"20\"},{\"from\":\"13\",\"weight\":1,\"label\":\"\",\"to\":\"20\"},{\"label\":\"\",\"weight\":1,\"to\":\"9\",\"from\":\"17\"},{\"weight\":1,\"from\":\"17\",\"to\":\"6\",\"label\":\"\"},{\"label\":\"\",\"to\":\"17\",\"from\":\"1\",\"weight\":1},{\"from\":\"15\",\"label\":\"\",\"to\":\"17\",\"weight\":1},{\"label\":\"\",\"from\":\"14\",\"weight\":1,\"to\":\"17\"},{\"weight\":1,\"from\":\"14\",\"label\":\"\",\"to\":\"5\"},{\"to\":\"5\",\"weight\":1,\"from\":\"11\",\"label\":\"\"},{\"label\":\"\",\"from\":\"2\",\"to\":\"5\",\"weight\":1},{\"label\":\"\",\"to\":\"9\",\"from\":\"5\",\"weight\":1},{\"from\":\"5\",\"label\":\"\",\"weight\":1,\"to\":\"8\"},{\"from\":\"18\",\"label\":\"\",\"weight\":1,\"to\":\"5\"},{\"weight\":1,\"to\":\"5\",\"from\":\"13\",\"label\":\"\"},{\"from\":\"1\",\"label\":\"\",\"weight\":1,\"to\":\"19\"},{\"weight\":1,\"to\":\"12\",\"from\":\"1\",\"label\":\"\"},{\"to\":\"15\",\"label\":\"\",\"from\":\"1\",\"weight\":1},{\"from\":\"1\",\"weight\":1,\"label\":\"\",\"to\":\"8\"},{\"from\":\"1\",\"to\":\"4\",\"label\":\"\",\"weight\":1},{\"to\":\"9\",\"label\":\"\",\"weight\":1,\"from\":\"1\"},{\"weight\":1,\"from\":\"10\",\"label\":\"\",\"to\":\"16\"},{\"weight\":1,\"from\":\"10\",\"label\":\"\",\"to\":\"19\"},{\"from\":\"10\",\"to\":\"11\",\"label\":\"\",\"weight\":1},{\"weight\":1,\"label\":\"\",\"to\":\"4\",\"from\":\"10\"},{\"to\":\"14\",\"label\":\"\",\"weight\":1,\"from\":\"10\"},{\"weight\":1,\"to\":\"2\",\"label\":\"\",\"from\":\"10\"},{\"weight\":1,\"to\":\"9\",\"label\":\"\",\"from\":\"6\"},{\"to\":\"9\",\"weight\":1,\"label\":\"\",\"from\":\"11\"},{\"from\":\"15\",\"to\":\"9\",\"label\":\"\",\"weight\":1},{\"weight\":1,\"from\":\"18\",\"label\":\"\",\"to\":\"9\"},{\"label\":\"\",\"from\":\"3\",\"to\":\"9\",\"weight\":1},{\"label\":\"\",\"from\":\"16\",\"weight\":1,\"to\":\"9\"},{\"from\":\"11\",\"weight\":1,\"to\":\"15\",\"label\":\"\"},{\"to\":\"14\",\"from\":\"11\",\"label\":\"\",\"weight\":1},{\"label\":\"\",\"from\":\"11\",\"weight\":1,\"to\":\"2\"},{\"to\":\"3\",\"from\":\"11\",\"label\":\"\",\"weight\":1},{\"to\":\"16\",\"label\":\"\",\"weight\":1,\"from\":\"11\"},{\"label\":\"\",\"weight\":1,\"to\":\"6\",\"from\":\"18\"},{\"from\":\"14\",\"to\":\"6\",\"label\":\"\",\"weight\":1},{\"weight\":1,\"from\":\"13\",\"to\":\"6\",\"label\":\"\"},{\"weight\":1,\"from\":\"6\",\"label\":\"\",\"to\":\"8\"},{\"weight\":1,\"to\":\"6\",\"label\":\"\",\"from\":\"12\"},{\"to\":\"14\",\"from\":\"12\",\"weight\":1,\"label\":\"\"},{\"weight\":1,\"from\":\"14\",\"label\":\"\",\"to\":\"16\"},{\"to\":\"18\",\"weight\":1,\"label\":\"\",\"from\":\"12\"},{\"to\":\"19\",\"weight\":1,\"label\":\"\",\"from\":\"18\"},{\"from\":\"18\",\"to\":\"3\",\"weight\":1,\"label\":\"\"},{\"label\":\"\",\"weight\":1,\"from\":\"18\",\"to\":\"4\"},{\"weight\":1,\"from\":\"12\",\"label\":\"\",\"to\":\"19\"},{\"to\":\"8\",\"weight\":1,\"from\":\"12\",\"label\":\"\"},{\"from\":\"12\",\"label\":\"\",\"to\":\"7\",\"weight\":1},{\"from\":\"12\",\"weight\":1,\"label\":\"\",\"to\":\"16\"},{\"weight\":1,\"from\":\"13\",\"to\":\"15\",\"label\":\"\"},{\"weight\":1,\"to\":\"3\",\"label\":\"\",\"from\":\"15\"},{\"to\":\"7\",\"weight\":1,\"from\":\"15\",\"label\":\"\"},{\"from\":\"15\",\"to\":\"16\",\"weight\":1,\"label\":\"\"},{\"from\":\"16\",\"to\":\"2\",\"weight\":1,\"label\":\"\"},{\"to\":\"3\",\"label\":\"\",\"from\":\"13\",\"weight\":1},{\"to\":\"7\",\"label\":\"\",\"weight\":1,\"from\":\"3\"},{\"label\":\"\",\"from\":\"16\",\"weight\":1,\"to\":\"8\"},{\"label\":\"\",\"weight\":1,\"from\":\"16\",\"to\":\"7\"},{\"to\":\"8\",\"from\":\"7\",\"label\":\"\",\"weight\":1}];\n\nconst nodes = Array.from(new Set(edges.flatMap(e => [e.from, e.to])), id => ({id}));\n\nconst highlightSpecs = {};\n\nconst links = edges.map(e => ({\n  source: e.from,\n  target: e.to,\n  weight: e.weight,\n  label: e.label,\n}));\n\n//.force(\"link\", d3.forceLink(links).id(d => d.id).distance(d => Math.max(d.weight * 20, 2 * 4)))\nconst simulation = d3.forceSimulation(nodes)\n    .force(\"link\", d3.forceLink(links).id(d => d.id).iterations(1))\n    .force(\"charge\", d3.forceManyBody().strength(-120).distanceMin(1).distanceMax(2000))\n    .force(\"x\", d3.forceX())\n    .force(\"y\", d3.forceY())\n    .force(\"collision\", d3.forceCollide())\n    .force(\"center\", d3.forceCenter(width / 2, height / 2));\n\nsvg.append('defs').append('marker')\n    .attr(\"id\",'arrowhead')\n    .attr('viewBox','-0 -5 10 10') //the bound of the SVG viewport for the current SVG fragment. defines a coordinate system 10 wide and 10 high starting on (0,-5)\n     .attr('refX', 8) // x coordinate for the reference point of the marker. If circle is bigger, this need to be bigger.\n     .attr('refY',0)\n     .attr('orient','auto')\n        .attr('markerWidth', 3)\n        .attr('markerHeight', 3)\n        .attr('xoverflow','visible')\n    .append('svg:path')\n    .attr('d', 'M 0,-5 L 10 ,0 L 0,5')\n    .attr('fill', \"SteelBlue\")\n    .style('stroke','none');\n\nconst link = svg.append(\"g\")\n    .attr(\"class\", \"links\")\n  .selectAll(\"line\")\n  .data(links)\n  .enter().append(\"line\")\n    .attr(\"class\", \"link\")\n    .attr(\"stroke\", d => {\n        for (const [color, items] of Object.entries(highlightSpecs)) {\n            if (items.some(item => Array.isArray(item) && item[0] === d.source.id && item[1] === d.target.id)) {\n                return color;\n            }\n        }\n        return \"SteelBlue\";\n    })\n    .attr(\"stroke-width\", 1)\n    \n\nconst node = svg.append(\"g\")\n    .attr(\"class\", \"nodes\")\n  .selectAll(\"circle\")\n  .data(nodes)\n  .enter().append(\"circle\")\n    .attr(\"class\", \"node\")\n    .attr(\"r\", 2)\n    .attr(\"stroke\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .attr(\"fill\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .call(drag(simulation));\n\nnode.append(\"title\")\n    .text(d => d.id);\n\nconst nodeLabel = svg.append(\"g\")\n    .attr(\"class\", \"node-labels\")\n  .selectAll(\"text\")\n  .data(nodes)\n  .enter().append(\"text\")\n    .attr(\"class\", \"node-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier New\")\n    .attr(\"font-weight\", 100)\n    .attr(\"dy\", -10)\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.id);\n\nconst linkLabel = svg.append(\"g\")\n    .attr(\"class\", \"link-labels\")\n  .selectAll(\"text\")\n  .data(links)\n  .enter().append(\"text\")\n    .filter(d => d.label !== \"\")\n    .attr(\"class\", \"link-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier\")\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.label);\n\nsimulation.on(\"tick\", () => {\n  link\n      .attr(\"x1\", d => d.source.x)\n      .attr(\"y1\", d => d.source.y)\n      .attr(\"x2\", d => d.target.x)\n      .attr(\"y2\", d => d.target.y);\n\n  node\n      .attr(\"cx\", d => d.x)\n      .attr(\"cy\", d => d.y);\n\n  nodeLabel\n      .attr(\"x\", d => d.x)\n      .attr(\"y\", d => d.y);\n\n  linkLabel\n      .attr(\"x\", d => (d.source.x + d.target.x) / 2)\n      .attr(\"y\", d => (d.source.y + d.target.y) / 2);\n});\n\nfunction drag(simulation) {\n  function dragstarted(event, d) {\n    if (!event.active) simulation.alphaTarget(0.3).restart();\n    d.fx = d.x;\n    d.fy = d.y;\n  }\n\n  function dragged(event, d) {\n    d.fx = event.x;\n    d.fy = event.y;\n  }\n\n  function dragended(event, d) {\n    if (!event.active) simulation.alphaTarget(0);\n    d.fx = null;\n    d.fy = null;\n  }\n\n  return d3.drag()\n      .on(\"start\", dragstarted)\n      .on(\"drag\", dragged)\n      .on(\"end\", dragended);\n}\n\n}) })(element);\n\n(function(element) { require(['d3'], function(d3) {\n\n// set the dimensions and margins of the graph\nvar margin = {\"right\":40,\"top\":40,\"bottom\":40,\"left\":40},\n    width = 600 - margin.left - margin.right,\n    height = 371 - margin.top - margin.bottom;\n\n// append the svg object to the body of the page\nvar svg = d3\n   .select(element.get(0))\n  .append(\"svg\")\n    .attr(\"width\", width + margin.left + margin.right)\n    .attr(\"height\", height + margin.top + margin.bottom)\n    .style(\"background\", \"#1F1F1F\")\n  .append(\"g\")\n    .attr(\"transform\",\n          \"translate(\" + margin.left + \",\" + margin.top + \")\")\n\n// Obtain title\nvar title = \"Graph::Distribution::WattsStrogatz.new(vertex-count => 20, p => 0.07)\"\nvar titleFontSize = 16\n\nif ( title.length > 0 ) {\n    svg.append(\"text\")\n        .attr(\"x\", (width / 2))\n        .attr(\"y\", 0 - (margin.top / 2))\n        .attr(\"text-anchor\", \"middle\")\n        .style(\"font-size\", titleFontSize.toString() + \"px\")\n        .style(\"fill\", \"Ivory\")\n        .text(title);\n}\n\nconst edges = [{\"to\":\"7\",\"from\":\"6\",\"label\":\"\",\"weight\":1},{\"from\":\"7\",\"to\":\"9\",\"weight\":1,\"label\":\"\"},{\"label\":\"\",\"weight\":1,\"to\":\"8\",\"from\":\"7\"},{\"weight\":1,\"label\":\"\",\"from\":\"5\",\"to\":\"7\"},{\"weight\":1,\"to\":\"5\",\"label\":\"\",\"from\":\"4\"},{\"from\":\"3\",\"label\":\"\",\"weight\":1,\"to\":\"4\"},{\"weight\":1,\"from\":\"4\",\"to\":\"6\",\"label\":\"\"},{\"from\":\"2\",\"weight\":1,\"label\":\"\",\"to\":\"4\"},{\"weight\":1,\"label\":\"\",\"to\":\"8\",\"from\":\"6\"},{\"label\":\"\",\"from\":\"8\",\"weight\":1,\"to\":\"9\"},{\"to\":\"8\",\"from\":\"10\",\"weight\":1,\"label\":\"\"},{\"weight\":1,\"from\":\"0\",\"label\":\"\",\"to\":\"2\"},{\"weight\":1,\"label\":\"\",\"to\":\"2\",\"from\":\"10\"},{\"from\":\"1\",\"to\":\"2\",\"label\":\"\",\"weight\":1},{\"label\":\"\",\"from\":\"2\",\"weight\":1,\"to\":\"3\"},{\"to\":\"9\",\"label\":\"\",\"weight\":1,\"from\":\"10\"},{\"label\":\"\",\"to\":\"9\",\"weight\":1,\"from\":\"11\"},{\"from\":\"13\",\"to\":\"14\",\"weight\":1,\"label\":\"\"},{\"to\":\"15\",\"from\":\"14\",\"label\":\"\",\"weight\":1},{\"to\":\"16\",\"from\":\"14\",\"label\":\"\",\"weight\":1},{\"label\":\"\",\"to\":\"14\",\"weight\":1,\"from\":\"12\"},{\"label\":\"\",\"from\":\"13\",\"to\":\"15\",\"weight\":1},{\"weight\":1,\"label\":\"\",\"to\":\"17\",\"from\":\"13\"},{\"to\":\"13\",\"weight\":1,\"label\":\"\",\"from\":\"11\"},{\"to\":\"13\",\"from\":\"12\",\"label\":\"\",\"weight\":1},{\"label\":\"\",\"weight\":1,\"from\":\"10\",\"to\":\"11\"},{\"to\":\"12\",\"label\":\"\",\"from\":\"11\",\"weight\":1},{\"label\":\"\",\"to\":\"16\",\"from\":\"15\",\"weight\":1},{\"label\":\"\",\"from\":\"15\",\"to\":\"17\",\"weight\":1},{\"to\":\"18\",\"weight\":1,\"label\":\"\",\"from\":\"17\"},{\"weight\":1,\"to\":\"17\",\"from\":\"16\",\"label\":\"\"},{\"to\":\"19\",\"label\":\"\",\"weight\":1,\"from\":\"17\"},{\"from\":\"10\",\"to\":\"12\",\"weight\":1,\"label\":\"\"},{\"weight\":1,\"label\":\"\",\"from\":\"5\",\"to\":\"6\"},{\"weight\":1,\"to\":\"19\",\"label\":\"\",\"from\":\"0\"},{\"label\":\"\",\"weight\":1,\"to\":\"1\",\"from\":\"0\"},{\"from\":\"0\",\"label\":\"\",\"weight\":1,\"to\":\"18\"},{\"from\":\"16\",\"weight\":1,\"label\":\"\",\"to\":\"18\"},{\"weight\":1,\"to\":\"19\",\"label\":\"\",\"from\":\"1\"},{\"to\":\"19\",\"label\":\"\",\"from\":\"18\",\"weight\":1},{\"to\":\"5\",\"from\":\"3\",\"label\":\"\",\"weight\":1},{\"label\":\"\",\"weight\":1,\"to\":\"3\",\"from\":\"1\"}];\n\nconst nodes = Array.from(new Set(edges.flatMap(e => [e.from, e.to])), id => ({id}));\n\nconst highlightSpecs = {};\n\nconst links = edges.map(e => ({\n  source: e.from,\n  target: e.to,\n  weight: e.weight,\n  label: e.label,\n}));\n\n//.force(\"link\", d3.forceLink(links).id(d => d.id).distance(d => Math.max(d.weight * 20, 2 * 4)))\nconst simulation = d3.forceSimulation(nodes)\n    .force(\"link\", d3.forceLink(links).id(d => d.id).iterations(1))\n    .force(\"charge\", d3.forceManyBody().strength(-120).distanceMin(1).distanceMax(2000))\n    .force(\"x\", d3.forceX())\n    .force(\"y\", d3.forceY())\n    .force(\"collision\", d3.forceCollide())\n    .force(\"center\", d3.forceCenter(width / 2, height / 2));\n\nsvg.append('defs').append('marker')\n    .attr(\"id\",'arrowhead')\n    .attr('viewBox','-0 -5 10 10') //the bound of the SVG viewport for the current SVG fragment. defines a coordinate system 10 wide and 10 high starting on (0,-5)\n     .attr('refX', 8) // x coordinate for the reference point of the marker. If circle is bigger, this need to be bigger.\n     .attr('refY',0)\n     .attr('orient','auto')\n        .attr('markerWidth', 3)\n        .attr('markerHeight', 3)\n        .attr('xoverflow','visible')\n    .append('svg:path')\n    .attr('d', 'M 0,-5 L 10 ,0 L 0,5')\n    .attr('fill', \"SteelBlue\")\n    .style('stroke','none');\n\nconst link = svg.append(\"g\")\n    .attr(\"class\", \"links\")\n  .selectAll(\"line\")\n  .data(links)\n  .enter().append(\"line\")\n    .attr(\"class\", \"link\")\n    .attr(\"stroke\", d => {\n        for (const [color, items] of Object.entries(highlightSpecs)) {\n            if (items.some(item => Array.isArray(item) && item[0] === d.source.id && item[1] === d.target.id)) {\n                return color;\n            }\n        }\n        return \"SteelBlue\";\n    })\n    .attr(\"stroke-width\", 1)\n    \n\nconst node = svg.append(\"g\")\n    .attr(\"class\", \"nodes\")\n  .selectAll(\"circle\")\n  .data(nodes)\n  .enter().append(\"circle\")\n    .attr(\"class\", \"node\")\n    .attr(\"r\", 2)\n    .attr(\"stroke\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .attr(\"fill\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .call(drag(simulation));\n\nnode.append(\"title\")\n    .text(d => d.id);\n\nconst nodeLabel = svg.append(\"g\")\n    .attr(\"class\", \"node-labels\")\n  .selectAll(\"text\")\n  .data(nodes)\n  .enter().append(\"text\")\n    .attr(\"class\", \"node-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier New\")\n    .attr(\"font-weight\", 100)\n    .attr(\"dy\", -10)\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.id);\n\nconst linkLabel = svg.append(\"g\")\n    .attr(\"class\", \"link-labels\")\n  .selectAll(\"text\")\n  .data(links)\n  .enter().append(\"text\")\n    .filter(d => d.label !== \"\")\n    .attr(\"class\", \"link-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier\")\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.label);\n\nsimulation.on(\"tick\", () => {\n  link\n      .attr(\"x1\", d => d.source.x)\n      .attr(\"y1\", d => d.source.y)\n      .attr(\"x2\", d => d.target.x)\n      .attr(\"y2\", d => d.target.y);\n\n  node\n      .attr(\"cx\", d => d.x)\n      .attr(\"cy\", d => d.y);\n\n  nodeLabel\n      .attr(\"x\", d => d.x)\n      .attr(\"y\", d => d.y);\n\n  linkLabel\n      .attr(\"x\", d => (d.source.x + d.target.x) / 2)\n      .attr(\"y\", d => (d.source.y + d.target.y) / 2);\n});\n\nfunction drag(simulation) {\n  function dragstarted(event, d) {\n    if (!event.active) simulation.alphaTarget(0.3).restart();\n    d.fx = d.x;\n    d.fy = d.y;\n  }\n\n  function dragged(event, d) {\n    d.fx = event.x;\n    d.fy = event.y;\n  }\n\n  function dragended(event, d) {\n    if (!event.active) simulation.alphaTarget(0);\n    d.fx = null;\n    d.fy = null;\n  }\n\n  return d3.drag()\n      .on(\"start\", dragstarted)\n      .on(\"drag\", dragged)\n      .on(\"end\", dragended);\n}\n\n}) })(element);\n\n(function(element) { require(['d3'], function(d3) {\n\n// set the dimensions and margins of the graph\nvar margin = {\"bottom\":40,\"top\":40,\"right\":40,\"left\":40},\n    width = 600 - margin.left - margin.right,\n    height = 371 - margin.top - margin.bottom;\n\n// append the svg object to the body of the page\nvar svg = d3\n   .select(element.get(0))\n  .append(\"svg\")\n    .attr(\"width\", width + margin.left + margin.right)\n    .attr(\"height\", height + margin.top + margin.bottom)\n    .style(\"background\", \"#1F1F1F\")\n  .append(\"g\")\n    .attr(\"transform\",\n          \"translate(\" + margin.left + \",\" + margin.top + \")\")\n\n// Obtain title\nvar title = \"Graph::Distribution::Price.new(vertex-count => 20, edges-count => 2, attractiveness => 1)\"\nvar titleFontSize = 16\n\nif ( title.length > 0 ) {\n    svg.append(\"text\")\n        .attr(\"x\", (width / 2))\n        .attr(\"y\", 0 - (margin.top / 2))\n        .attr(\"text-anchor\", \"middle\")\n        .style(\"font-size\", titleFontSize.toString() + \"px\")\n        .style(\"fill\", \"Ivory\")\n        .text(title);\n}\n\nconst edges = [{\"to\":\"6\",\"from\":\"10\",\"label\":\"\",\"weight\":1},{\"weight\":1,\"from\":\"10\",\"to\":\"9\",\"label\":\"\"},{\"to\":\"11\",\"label\":\"\",\"from\":\"16\",\"weight\":1},{\"label\":\"\",\"to\":\"10\",\"from\":\"16\",\"weight\":1},{\"label\":\"\",\"to\":\"4\",\"weight\":1,\"from\":\"14\"},{\"weight\":1,\"from\":\"14\",\"to\":\"9\",\"label\":\"\"},{\"label\":\"\",\"from\":\"15\",\"to\":\"5\",\"weight\":1},{\"to\":\"4\",\"label\":\"\",\"from\":\"15\",\"weight\":1},{\"from\":\"6\",\"to\":\"2\",\"label\":\"\",\"weight\":1},{\"weight\":1,\"to\":\"2\",\"from\":\"18\",\"label\":\"\"},{\"weight\":1,\"from\":\"18\",\"label\":\"\",\"to\":\"9\"},{\"label\":\"\",\"weight\":1,\"from\":\"4\",\"to\":\"2\"},{\"to\":\"0\",\"from\":\"4\",\"label\":\"\",\"weight\":1},{\"weight\":1,\"label\":\"\",\"to\":\"0\",\"from\":\"5\"},{\"from\":\"5\",\"to\":\"2\",\"label\":\"\",\"weight\":1},{\"from\":\"12\",\"weight\":1,\"label\":\"\",\"to\":\"5\"},{\"from\":\"12\",\"label\":\"\",\"to\":\"6\",\"weight\":1},{\"label\":\"\",\"from\":\"17\",\"to\":\"0\",\"weight\":1},{\"weight\":1,\"to\":\"5\",\"label\":\"\",\"from\":\"9\"},{\"to\":\"4\",\"weight\":1,\"from\":\"9\",\"label\":\"\"},{\"to\":\"0\",\"label\":\"\",\"weight\":1,\"from\":\"3\"},{\"from\":\"8\",\"label\":\"\",\"weight\":1,\"to\":\"2\"},{\"weight\":1,\"from\":\"8\",\"to\":\"6\",\"label\":\"\"},{\"to\":\"4\",\"label\":\"\",\"weight\":1,\"from\":\"11\"},{\"label\":\"\",\"from\":\"11\",\"to\":\"8\",\"weight\":1},{\"weight\":1,\"from\":\"19\",\"label\":\"\",\"to\":\"9\"},{\"weight\":1,\"from\":\"19\",\"label\":\"\",\"to\":\"2\"},{\"label\":\"\",\"from\":\"7\",\"weight\":1,\"to\":\"4\"},{\"to\":\"5\",\"from\":\"7\",\"label\":\"\",\"weight\":1},{\"label\":\"\",\"to\":\"0\",\"from\":\"13\",\"weight\":1},{\"from\":\"13\",\"label\":\"\",\"to\":\"5\",\"weight\":1},{\"from\":\"20\",\"label\":\"\",\"weight\":1,\"to\":\"6\"},{\"weight\":1,\"from\":\"20\",\"to\":\"2\",\"label\":\"\"},{\"from\":\"2\",\"weight\":1,\"label\":\"\",\"to\":\"0\"}];\n\nconst nodes = Array.from(new Set(edges.flatMap(e => [e.from, e.to])), id => ({id}));\n\nconst highlightSpecs = {};\n\nconst links = edges.map(e => ({\n  source: e.from,\n  target: e.to,\n  weight: e.weight,\n  label: e.label,\n}));\n\n//.force(\"link\", d3.forceLink(links).id(d => d.id).distance(d => Math.max(d.weight * 20, 2 * 4)))\nconst simulation = d3.forceSimulation(nodes)\n    .force(\"link\", d3.forceLink(links).id(d => d.id).iterations(1))\n    .force(\"charge\", d3.forceManyBody().strength(-120).distanceMin(1).distanceMax(2000))\n    .force(\"x\", d3.forceX())\n    .force(\"y\", d3.forceY())\n    .force(\"collision\", d3.forceCollide())\n    .force(\"center\", d3.forceCenter(width / 2, height / 2));\n\nsvg.append('defs').append('marker')\n    .attr(\"id\",'arrowhead')\n    .attr('viewBox','-0 -5 10 10') //the bound of the SVG viewport for the current SVG fragment. defines a coordinate system 10 wide and 10 high starting on (0,-5)\n     .attr('refX', 8) // x coordinate for the reference point of the marker. If circle is bigger, this need to be bigger.\n     .attr('refY',0)\n     .attr('orient','auto')\n        .attr('markerWidth', 3)\n        .attr('markerHeight', 3)\n        .attr('xoverflow','visible')\n    .append('svg:path')\n    .attr('d', 'M 0,-5 L 10 ,0 L 0,5')\n    .attr('fill', \"SteelBlue\")\n    .style('stroke','none');\n\nconst link = svg.append(\"g\")\n    .attr(\"class\", \"links\")\n  .selectAll(\"line\")\n  .data(links)\n  .enter().append(\"line\")\n    .attr(\"class\", \"link\")\n    .attr(\"stroke\", d => {\n        for (const [color, items] of Object.entries(highlightSpecs)) {\n            if (items.some(item => Array.isArray(item) && item[0] === d.source.id && item[1] === d.target.id)) {\n                return color;\n            }\n        }\n        return \"SteelBlue\";\n    })\n    .attr(\"stroke-width\", 1)\n    .attr('marker-end','url(#arrowhead)')\n\nconst node = svg.append(\"g\")\n    .attr(\"class\", \"nodes\")\n  .selectAll(\"circle\")\n  .data(nodes)\n  .enter().append(\"circle\")\n    .attr(\"class\", \"node\")\n    .attr(\"r\", 2)\n    .attr(\"stroke\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .attr(\"fill\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .call(drag(simulation));\n\nnode.append(\"title\")\n    .text(d => d.id);\n\nconst nodeLabel = svg.append(\"g\")\n    .attr(\"class\", \"node-labels\")\n  .selectAll(\"text\")\n  .data(nodes)\n  .enter().append(\"text\")\n    .attr(\"class\", \"node-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier New\")\n    .attr(\"font-weight\", 100)\n    .attr(\"dy\", -10)\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.id);\n\nconst linkLabel = svg.append(\"g\")\n    .attr(\"class\", \"link-labels\")\n  .selectAll(\"text\")\n  .data(links)\n  .enter().append(\"text\")\n    .filter(d => d.label !== \"\")\n    .attr(\"class\", \"link-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier\")\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.label);\n\nsimulation.on(\"tick\", () => {\n  link\n      .attr(\"x1\", d => d.source.x)\n      .attr(\"y1\", d => d.source.y)\n      .attr(\"x2\", d => d.target.x)\n      .attr(\"y2\", d => d.target.y);\n\n  node\n      .attr(\"cx\", d => d.x)\n      .attr(\"cy\", d => d.y);\n\n  nodeLabel\n      .attr(\"x\", d => d.x)\n      .attr(\"y\", d => d.y);\n\n  linkLabel\n      .attr(\"x\", d => (d.source.x + d.target.x) / 2)\n      .attr(\"y\", d => (d.source.y + d.target.y) / 2);\n});\n\nfunction drag(simulation) {\n  function dragstarted(event, d) {\n    if (!event.active) simulation.alphaTarget(0.3).restart();\n    d.fx = d.x;\n    d.fy = d.y;\n  }\n\n  function dragged(event, d) {\n    d.fx = event.x;\n    d.fy = event.y;\n  }\n\n  function dragended(event, d) {\n    if (!event.active) simulation.alphaTarget(0);\n    d.fx = null;\n    d.fy = null;\n  }\n\n  return d3.drag()\n      .on(\"start\", dragstarted)\n      .on(\"drag\", dragged)\n      .on(\"end\", dragended);\n}\n\n}) })(element);\n\n(function(element) { require(['d3'], function(d3) {\n\n// set the dimensions and margins of the graph\nvar margin = {\"top\":40,\"left\":40,\"right\":40,\"bottom\":40},\n    width = 600 - margin.left - margin.right,\n    height = 371 - margin.top - margin.bottom;\n\n// append the svg object to the body of the page\nvar svg = d3\n   .select(element.get(0))\n  .append(\"svg\")\n    .attr(\"width\", width + margin.left + margin.right)\n    .attr(\"height\", height + margin.top + margin.bottom)\n    .style(\"background\", \"#1F1F1F\")\n  .append(\"g\")\n    .attr(\"transform\",\n          \"translate(\" + margin.left + \",\" + margin.top + \")\")\n\n// Obtain title\nvar title = \"Graph::Distribution::Spatial.new(vertex-count => 20, radius => 0.25, dimension => 2)\"\nvar titleFontSize = 16\n\nif ( title.length > 0 ) {\n    svg.append(\"text\")\n        .attr(\"x\", (width / 2))\n        .attr(\"y\", 0 - (margin.top / 2))\n        .attr(\"text-anchor\", \"middle\")\n        .style(\"font-size\", titleFontSize.toString() + \"px\")\n        .style(\"fill\", \"Ivory\")\n        .text(title);\n}\n\nconst edges = [{\"from\":\"16\",\"label\":\"\",\"to\":\"19\",\"weight\":1},{\"label\":\"\",\"to\":\"16\",\"from\":\"14\",\"weight\":1},{\"to\":\"5\",\"weight\":1,\"from\":\"16\",\"label\":\"\"},{\"from\":\"16\",\"label\":\"\",\"to\":\"9\",\"weight\":1},{\"from\":\"16\",\"to\":\"7\",\"label\":\"\",\"weight\":1},{\"to\":\"9\",\"weight\":1,\"label\":\"\",\"from\":\"7\"},{\"weight\":1,\"from\":\"19\",\"label\":\"\",\"to\":\"7\"},{\"label\":\"\",\"to\":\"7\",\"weight\":1,\"from\":\"5\"},{\"to\":\"7\",\"from\":\"14\",\"weight\":1,\"label\":\"\"},{\"from\":\"10\",\"label\":\"\",\"to\":\"3\",\"weight\":1},{\"weight\":1,\"label\":\"\",\"to\":\"4\",\"from\":\"3\"},{\"label\":\"\",\"to\":\"8\",\"weight\":1,\"from\":\"17\"},{\"label\":\"\",\"to\":\"8\",\"weight\":1,\"from\":\"0\"},{\"to\":\"13\",\"weight\":1,\"from\":\"0\",\"label\":\"\"},{\"label\":\"\",\"weight\":1,\"from\":\"14\",\"to\":\"9\"},{\"weight\":1,\"from\":\"12\",\"to\":\"9\",\"label\":\"\"},{\"to\":\"6\",\"from\":\"18\",\"weight\":1,\"label\":\"\"},{\"weight\":1,\"to\":\"18\",\"from\":\"1\",\"label\":\"\"},{\"weight\":1,\"to\":\"4\",\"label\":\"\",\"from\":\"18\"},{\"label\":\"\",\"to\":\"4\",\"weight\":1,\"from\":\"1\"},{\"from\":\"12\",\"to\":\"15\",\"weight\":1,\"label\":\"\"},{\"weight\":1,\"label\":\"\",\"to\":\"5\",\"from\":\"14\"},{\"to\":\"8\",\"label\":\"\",\"weight\":1,\"from\":\"5\"},{\"to\":\"5\",\"from\":\"19\",\"label\":\"\",\"weight\":1},{\"to\":\"8\",\"label\":\"\",\"from\":\"13\",\"weight\":1},{\"weight\":1,\"from\":\"19\",\"to\":\"2\",\"label\":\"\"}];\n\nconst nodes = Array.from(new Set(edges.flatMap(e => [e.from, e.to])), id => ({id}));\n\nconst highlightSpecs = {};\n\nconst links = edges.map(e => ({\n  source: e.from,\n  target: e.to,\n  weight: e.weight,\n  label: e.label,\n}));\n\n//.force(\"link\", d3.forceLink(links).id(d => d.id).distance(d => Math.max(d.weight * 20, 2 * 4)))\nconst simulation = d3.forceSimulation(nodes)\n    .force(\"link\", d3.forceLink(links).id(d => d.id).iterations(1))\n    .force(\"charge\", d3.forceManyBody().strength(-120).distanceMin(1).distanceMax(2000))\n    .force(\"x\", d3.forceX())\n    .force(\"y\", d3.forceY())\n    .force(\"collision\", d3.forceCollide())\n    .force(\"center\", d3.forceCenter(width / 2, height / 2));\n\nsvg.append('defs').append('marker')\n    .attr(\"id\",'arrowhead')\n    .attr('viewBox','-0 -5 10 10') //the bound of the SVG viewport for the current SVG fragment. defines a coordinate system 10 wide and 10 high starting on (0,-5)\n     .attr('refX', 8) // x coordinate for the reference point of the marker. If circle is bigger, this need to be bigger.\n     .attr('refY',0)\n     .attr('orient','auto')\n        .attr('markerWidth', 3)\n        .attr('markerHeight', 3)\n        .attr('xoverflow','visible')\n    .append('svg:path')\n    .attr('d', 'M 0,-5 L 10 ,0 L 0,5')\n    .attr('fill', \"SteelBlue\")\n    .style('stroke','none');\n\nconst link = svg.append(\"g\")\n    .attr(\"class\", \"links\")\n  .selectAll(\"line\")\n  .data(links)\n  .enter().append(\"line\")\n    .attr(\"class\", \"link\")\n    .attr(\"stroke\", d => {\n        for (const [color, items] of Object.entries(highlightSpecs)) {\n            if (items.some(item => Array.isArray(item) && item[0] === d.source.id && item[1] === d.target.id)) {\n                return color;\n            }\n        }\n        return \"SteelBlue\";\n    })\n    .attr(\"stroke-width\", 1)\n    \n\nconst node = svg.append(\"g\")\n    .attr(\"class\", \"nodes\")\n  .selectAll(\"circle\")\n  .data(nodes)\n  .enter().append(\"circle\")\n    .attr(\"class\", \"node\")\n    .attr(\"r\", 2)\n    .attr(\"stroke\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .attr(\"fill\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .call(drag(simulation));\n\nnode.append(\"title\")\n    .text(d => d.id);\n\nconst nodeLabel = svg.append(\"g\")\n    .attr(\"class\", \"node-labels\")\n  .selectAll(\"text\")\n  .data(nodes)\n  .enter().append(\"text\")\n    .attr(\"class\", \"node-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier New\")\n    .attr(\"font-weight\", 100)\n    .attr(\"dy\", -10)\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.id);\n\nconst linkLabel = svg.append(\"g\")\n    .attr(\"class\", \"link-labels\")\n  .selectAll(\"text\")\n  .data(links)\n  .enter().append(\"text\")\n    .filter(d => d.label !== \"\")\n    .attr(\"class\", \"link-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier\")\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.label);\n\nsimulation.on(\"tick\", () => {\n  link\n      .attr(\"x1\", d => d.source.x)\n      .attr(\"y1\", d => d.source.y)\n      .attr(\"x2\", d => d.target.x)\n      .attr(\"y2\", d => d.target.y);\n\n  node\n      .attr(\"cx\", d => d.x)\n      .attr(\"cy\", d => d.y);\n\n  nodeLabel\n      .attr(\"x\", d => d.x)\n      .attr(\"y\", d => d.y);\n\n  linkLabel\n      .attr(\"x\", d => (d.source.x + d.target.x) / 2)\n      .attr(\"y\", d => (d.source.y + d.target.y) / 2);\n});\n\nfunction drag(simulation) {\n  function dragstarted(event, d) {\n    if (!event.active) simulation.alphaTarget(0.3).restart();\n    d.fx = d.x;\n    d.fy = d.y;\n  }\n\n  function dragged(event, d) {\n    d.fx = event.x;\n    d.fy = event.y;\n  }\n\n  function dragended(event, d) {\n    if (!event.active) simulation.alphaTarget(0);\n    d.fx = null;\n    d.fy = null;\n  }\n\n  return d3.drag()\n      .on(\"start\", dragstarted)\n      .on(\"drag\", dragged)\n      .on(\"end\", dragended);\n}\n\n}) })(element);\n"
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#% js\n",
    "my %opts = :$title-color, :$background, force => {charge => {strength => -120}, link => {minDistance => 10}}, width => 600;\n",
    "@dists\n",
    "    .map({Graph::Random.new($_)})\n",
    "    .map({ js-d3-graph-plot($_.edges(:dataset), |%opts, directed => $_.directed, title => $_.dist.gist) }).join(\"\\n\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "-----\n",
    "\n",
    "## Star"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": "(function(element) { require(['d3'], function(d3) {\n\n// set the dimensions and margins of the graph\nvar margin = {\"right\":40,\"bottom\":40,\"left\":40,\"top\":40},\n    width = 400 - margin.left - margin.right,\n    height = 400 - margin.top - margin.bottom;\n\n// append the svg object to the body of the page\nvar svg = d3\n   .select(element.get(0))\n  .append(\"svg\")\n    .attr(\"width\", width + margin.left + margin.right)\n    .attr(\"height\", height + margin.top + margin.bottom)\n    .style(\"background\", \"#1F1F1F\")\n  .append(\"g\")\n    .attr(\"transform\",\n          \"translate(\" + margin.left + \",\" + margin.top + \")\")\n\n// Obtain title\nvar title = \"\"\nvar titleFontSize = 16\n\nif ( title.length > 0 ) {\n    svg.append(\"text\")\n        .attr(\"x\", (width / 2))\n        .attr(\"y\", 0 - (margin.top / 2))\n        .attr(\"text-anchor\", \"middle\")\n        .style(\"font-size\", titleFontSize.toString() + \"px\")\n        .style(\"fill\", \"Ivory\")\n        .text(title);\n}\n\nconst edges = [{\"to\":\"s:4\",\"from\":\"hub\",\"label\":\"\",\"weight\":1},{\"from\":\"hub\",\"to\":\"s:1\",\"label\":\"\",\"weight\":1},{\"label\":\"\",\"to\":\"s:7\",\"weight\":1,\"from\":\"hub\"},{\"weight\":1,\"label\":\"\",\"from\":\"hub\",\"to\":\"s:3\"},{\"label\":\"\",\"to\":\"s:2\",\"weight\":1,\"from\":\"hub\"},{\"weight\":1,\"from\":\"hub\",\"to\":\"s:6\",\"label\":\"\"},{\"weight\":1,\"to\":\"s:5\",\"from\":\"hub\",\"label\":\"\"}];\n\nconst isDirected = true;\n\nconst vertexCoordinates = {\"s:2\":{\"x\":0.6234898018587336e0,\"y\":0.7818314824680298e0},\"s:4\":{\"x\":-0.900968867902419e0,\"y\":0.43388373911755823e0},\"s:3\":{\"x\":-0.22252093395631434e0,\"y\":0.9749279121818236e0},\"s:1\":{\"x\":1e0,\"y\":0e0},\"s:5\":{\"x\":-0.9009688679024191e0,\"y\":-0.433883739117558e0},\"s:6\":{\"x\":-0.2225209339563146e0,\"y\":-0.9749279121818236e0},\"hub\":{\"y\":0,\"x\":0},\"s:7\":{\"y\":-0.7818314824680299e0,\"x\":0.6234898018587334e0}};\n\nconst highlightSpecs = {};\n\nconst links = edges.map(e => ({\n  source: e.from,\n  target: e.to,\n  weight: e.weight,\n  label: e.label\n}));\n\nconst nodes = Object.keys(vertexCoordinates).map(key => ({\n  id: key,\n  x: vertexCoordinates[key].x,\n  y: vertexCoordinates[key].y\n}));\n\nvar xMin = Math.min.apply(Math, nodes.map(function(o) { return o.x; }))\nvar xMax = Math.max.apply(Math, nodes.map(function(o) { return o.x; }))\n\nvar yMin = Math.min.apply(Math, nodes.map(function(o) { return o.y; }))\nvar yMax = Math.max.apply(Math, nodes.map(function(o) { return o.y; }))\n\n// X scale and Axis\nvar xScale = d3.scaleLinear()\n    .domain([xMin, xMax])\n    .range([0, width]);\n\n// Y scale and Axis\nvar yScale = d3.scaleLinear()\n    .domain([yMin, yMax])\n    .range([height, 0]);\n\nnodes.forEach(node => {\n  node.x = xScale(node.x);\n  node.y = yScale(node.y);\n});\n\nconst link = svg.append(\"g\")\n    .attr(\"class\", \"links\")\n  .selectAll(\"line\")\n  .data(links)\n  .enter().append(\"line\")\n    .attr(\"class\", \"link\")\n    .attr(\"stroke\", d => {\n        for (const [color, items] of Object.entries(highlightSpecs)) {\n            if (items.some(item => Array.isArray(item) && item[0] === d.source && item[1] === d.target)) {\n                return color;\n            }\n        }\n        return \"SteelBlue\";\n    })\n    .attr(\"stroke-width\", 3)\n    .attr(\"x1\", d => nodes.find(n => n.id === d.source).x)\n    .attr(\"y1\", d => nodes.find(n => n.id === d.source).y)\n    .attr(\"x2\", d => nodes.find(n => n.id === d.target).x)\n    .attr(\"y2\", d => nodes.find(n => n.id === d.target).y);\n\nif (isDirected) {\n  link.attr(\"marker-end\", \"url(#arrow)\");\n  svg.append(\"defs\").append(\"marker\")\n    .attr(\"id\", \"arrow\")\n    .attr(\"viewBox\", \"0 -5 10 10\")\n    .attr(\"refX\", 16)\n    .attr(\"refY\", 0)\n    .attr(\"markerWidth\", 5)\n    .attr(\"markerHeight\", 5)\n    .attr(\"orient\", \"auto\")\n    .append(\"path\")\n    .attr(\"d\", \"M0,-5L10,0L0,5\")\n    .attr(\"fill\", \"SteelBlue\");\n}\n\nconst node = svg.append(\"g\")\n    .attr(\"class\", \"nodes\")\n  .selectAll(\"circle\")\n  .data(nodes)\n  .enter().append(\"circle\")\n    .attr(\"class\", \"node\")\n    .attr(\"r\", 6)\n    .attr(\"cx\", d => d.x)\n    .attr(\"cy\", d => d.y)\n    .attr(\"stroke\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .attr(\"fill\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .call(d3.drag()\n      .on(\"start\", dragstarted)\n      .on(\"drag\", dragged)\n      .on(\"end\", dragended));\n\nnode.append(\"title\")\n    .text(d => d.id);\n\nconst nodeLabel = svg.append(\"g\")\n    .attr(\"class\", \"node-labels\")\n  .selectAll(\"text\")\n  .data(nodes)\n  .enter().append(\"text\")\n    .attr(\"class\", \"node-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier New\")\n    .attr(\"font-weight\", 100)\n    .attr(\"dy\", -10)\n    .attr(\"x\", d => d.x)\n    .attr(\"y\", d => d.y)\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.id);\n\nconst linkLabel = svg.append(\"g\")\n    .attr(\"class\", \"link-labels\")\n  .selectAll(\"text\")\n  .data(links)\n  .enter().append(\"text\")\n    .filter(d => d.label !== \"\")\n    .attr(\"class\", \"link-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier New\")\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .attr(\"font-weight\", 100)\n    .attr(\"dy\", -10)\n    .attr(\"x\", d => xScale((vertexCoordinates[d.source].x + vertexCoordinates[d.target].x) / 2))\n    .attr(\"y\", d => yScale((vertexCoordinates[d.source].y + vertexCoordinates[d.target].y) / 2))\n    .text(d => d.label);\n\nfunction dragstarted(event, d) {\n  d3.select(this).raise().attr(\"stroke\", \"SteelBlue\");\n}\n\nfunction dragged(event, d) {\n  d.x = event.x;\n  d.y = event.y;\n  d3.select(this).attr(\"cx\", d.x).attr(\"cy\", d.y);\n  link\n    .attr(\"x1\", l => nodes.find(n => n.id === l.source).x)\n    .attr(\"y1\", l => nodes.find(n => n.id === l.source).y)\n    .attr(\"x2\", l => nodes.find(n => n.id === l.target).x)\n    .attr(\"y2\", l => nodes.find(n => n.id === l.target).y);\n}\n\nfunction dragended(event, d) {\n  d3.select(this).attr(\"stroke\", null);\n}\n\n}) })(element);\n"
     },
     "execution_count": 47,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#%js\n",
    "my $g = Graph::Star.new(rays => 7, center => 'hub', prefix => 's:', :directed);\n",
    "\n",
    "$g.edges(:dataset) \n",
    "==> js-d3-graph-plot(\n",
    "        vertex-coordinates => $g.vertex-coordinates,\n",
    "        :$background, \n",
    "        :$title-color, \n",
    "        width => 400, \n",
    "        height => 400, \n",
    "        :$edge-thickness,\n",
    "        :$vertex-size,\n",
    "        directed => $g.directed,\n",
    "        force => {charge => {strength => -1800, iterations => 2}, collision => {radius => 10, iterations => 1}, link => {minDistance => 30}}\n",
    "    )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<?xml version=\"1.0\" encoding=\"UTF-8\" standalone=\"no\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       " \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<!-- Generated by graphviz version 11.0.0 (20240428.1522)\n",
       " -->\n",
       "<!-- Pages: 1 -->\n",
       "<svg width=\"166pt\" height=\"170pt\"\n",
       " viewBox=\"0.00 0.00 166.47 169.99\" xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\">\n",
       "<g id=\"graph0\" class=\"graph\" transform=\"scale(1 1) rotate(0) translate(4 165.99)\">\n",
       "<polygon fill=\"#1f1f1f\" stroke=\"none\" points=\"-4,4 -4,-165.99 162.47,-165.99 162.47,4 -4,4\"/>\n",
       "<!-- s:1 -->\n",
       "<g id=\"node1\" class=\"node\">\n",
       "<title>s:1</title>\n",
       "<ellipse fill=\"SteelBlue\" stroke=\"Black\" cx=\"147.67\" cy=\"-80.99\" rx=\"10.8\" ry=\"10.8\"/>\n",
       "<text text-anchor=\"middle\" x=\"147.67\" y=\"-76.72\" font-family=\"Times,serif\" font-size=\"12.00\" fill=\"White\">s:1</text>\n",
       "</g>\n",
       "<!-- hub -->\n",
       "<g id=\"node2\" class=\"node\">\n",
       "<title>hub</title>\n",
       "<ellipse fill=\"SteelBlue\" stroke=\"Black\" cx=\"75.67\" cy=\"-80.99\" rx=\"10.8\" ry=\"10.8\"/>\n",
       "<text text-anchor=\"middle\" x=\"75.67\" y=\"-76.72\" font-family=\"Times,serif\" font-size=\"12.00\" fill=\"White\">hub</text>\n",
       "</g>\n",
       "<!-- hub&#45;&gt;s:1 -->\n",
       "<g id=\"edge2\" class=\"edge\">\n",
       "<title>hub&#45;&gt;s:1</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"2\" d=\"M86.92,-80.99C96.8,-80.99 111.52,-80.99 123.99,-80.99\"/>\n",
       "<polygon fill=\"SteelBlue\" stroke=\"SteelBlue\" stroke-width=\"2\" points=\"123.71,-84.49 133.71,-80.99 123.71,-77.49 123.71,-84.49\"/>\n",
       "</g>\n",
       "<!-- s:5 -->\n",
       "<g id=\"node3\" class=\"node\">\n",
       "<title>s:5</title>\n",
       "<ellipse fill=\"SteelBlue\" stroke=\"Black\" cx=\"10.8\" cy=\"-49.76\" rx=\"10.8\" ry=\"10.8\"/>\n",
       "<text text-anchor=\"middle\" x=\"10.8\" y=\"-45.48\" font-family=\"Times,serif\" font-size=\"12.00\" fill=\"White\">s:5</text>\n",
       "</g>\n",
       "<!-- hub&#45;&gt;s:5 -->\n",
       "<g id=\"edge7\" class=\"edge\">\n",
       "<title>hub&#45;&gt;s:5</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"2\" d=\"M65.53,-76.11C56.63,-71.82 43.37,-65.44 32.14,-60.03\"/>\n",
       "<polygon fill=\"SteelBlue\" stroke=\"SteelBlue\" stroke-width=\"2\" points=\"33.91,-57 23.38,-55.81 30.87,-63.31 33.91,-57\"/>\n",
       "</g>\n",
       "<!-- s:7 -->\n",
       "<g id=\"node4\" class=\"node\">\n",
       "<title>s:7</title>\n",
       "<ellipse fill=\"SteelBlue\" stroke=\"Black\" cx=\"120.56\" cy=\"-24.7\" rx=\"10.8\" ry=\"10.8\"/>\n",
       "<text text-anchor=\"middle\" x=\"120.56\" y=\"-20.43\" font-family=\"Times,serif\" font-size=\"12.00\" fill=\"White\">s:7</text>\n",
       "</g>\n",
       "<!-- hub&#45;&gt;s:7 -->\n",
       "<g id=\"edge3\" class=\"edge\">\n",
       "<title>hub&#45;&gt;s:7</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"2\" d=\"M82.68,-72.2C88.85,-64.47 98.02,-52.97 105.79,-43.22\"/>\n",
       "<polygon fill=\"SteelBlue\" stroke=\"SteelBlue\" stroke-width=\"2\" points=\"108.36,-45.62 111.86,-35.62 102.88,-41.26 108.36,-45.62\"/>\n",
       "</g>\n",
       "<!-- s:3 -->\n",
       "<g id=\"node5\" class=\"node\">\n",
       "<title>s:3</title>\n",
       "<ellipse fill=\"SteelBlue\" stroke=\"Black\" cx=\"59.65\" cy=\"-151.19\" rx=\"10.8\" ry=\"10.8\"/>\n",
       "<text text-anchor=\"middle\" x=\"59.65\" y=\"-146.91\" font-family=\"Times,serif\" font-size=\"12.00\" fill=\"White\">s:3</text>\n",
       "</g>\n",
       "<!-- hub&#45;&gt;s:3 -->\n",
       "<g id=\"edge4\" class=\"edge\">\n",
       "<title>hub&#45;&gt;s:3</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"2\" d=\"M73.17,-91.96C70.97,-101.6 67.69,-115.94 64.92,-128.1\"/>\n",
       "<polygon fill=\"SteelBlue\" stroke=\"SteelBlue\" stroke-width=\"2\" points=\"61.57,-127.05 62.76,-137.58 68.39,-128.61 61.57,-127.05\"/>\n",
       "</g>\n",
       "<!-- s:2 -->\n",
       "<g id=\"node6\" class=\"node\">\n",
       "<title>s:2</title>\n",
       "<ellipse fill=\"SteelBlue\" stroke=\"Black\" cx=\"120.56\" cy=\"-137.29\" rx=\"10.8\" ry=\"10.8\"/>\n",
       "<text text-anchor=\"middle\" x=\"120.56\" y=\"-133.01\" font-family=\"Times,serif\" font-size=\"12.00\" fill=\"White\">s:2</text>\n",
       "</g>\n",
       "<!-- hub&#45;&gt;s:2 -->\n",
       "<g id=\"edge5\" class=\"edge\">\n",
       "<title>hub&#45;&gt;s:2</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"2\" d=\"M82.68,-89.79C88.85,-97.52 98.02,-109.02 105.79,-118.77\"/>\n",
       "<polygon fill=\"SteelBlue\" stroke=\"SteelBlue\" stroke-width=\"2\" points=\"102.88,-120.73 111.86,-126.37 108.36,-116.37 102.88,-120.73\"/>\n",
       "</g>\n",
       "<!-- s:4 -->\n",
       "<g id=\"node7\" class=\"node\">\n",
       "<title>s:4</title>\n",
       "<ellipse fill=\"SteelBlue\" stroke=\"Black\" cx=\"10.8\" cy=\"-112.23\" rx=\"10.8\" ry=\"10.8\"/>\n",
       "<text text-anchor=\"middle\" x=\"10.8\" y=\"-107.96\" font-family=\"Times,serif\" font-size=\"12.00\" fill=\"White\">s:4</text>\n",
       "</g>\n",
       "<!-- hub&#45;&gt;s:4 -->\n",
       "<g id=\"edge1\" class=\"edge\">\n",
       "<title>hub&#45;&gt;s:4</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"2\" d=\"M65.53,-85.88C56.63,-90.17 43.37,-96.55 32.14,-101.96\"/>\n",
       "<polygon fill=\"SteelBlue\" stroke=\"SteelBlue\" stroke-width=\"2\" points=\"30.87,-98.68 23.38,-106.18 33.91,-104.99 30.87,-98.68\"/>\n",
       "</g>\n",
       "<!-- s:6 -->\n",
       "<g id=\"node8\" class=\"node\">\n",
       "<title>s:6</title>\n",
       "<ellipse fill=\"SteelBlue\" stroke=\"Black\" cx=\"59.65\" cy=\"-10.8\" rx=\"10.8\" ry=\"10.8\"/>\n",
       "<text text-anchor=\"middle\" x=\"59.65\" y=\"-6.52\" font-family=\"Times,serif\" font-size=\"12.00\" fill=\"White\">s:6</text>\n",
       "</g>\n",
       "<!-- hub&#45;&gt;s:6 -->\n",
       "<g id=\"edge6\" class=\"edge\">\n",
       "<title>hub&#45;&gt;s:6</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"2\" d=\"M73.17,-70.03C70.97,-60.39 67.69,-46.05 64.92,-33.89\"/>\n",
       "<polygon fill=\"SteelBlue\" stroke=\"SteelBlue\" stroke-width=\"2\" points=\"68.39,-33.38 62.76,-24.41 61.57,-34.94 68.39,-33.38\"/>\n",
       "</g>\n",
       "</g>\n",
       "</svg>\n"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#% html\n",
    "$g.&neato"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "-----\n",
    "\n",
    "## Triangular grid"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": "(function(element) { require(['d3'], function(d3) {\n\n// set the dimensions and margins of the graph\nvar margin = {\"left\":40,\"bottom\":40,\"top\":40,\"right\":40},\n    width = 800 - margin.left - margin.right,\n    height = 400 - margin.top - margin.bottom;\n\n// append the svg object to the body of the page\nvar svg = d3\n   .select(element.get(0))\n  .append(\"svg\")\n    .attr(\"width\", width + margin.left + margin.right)\n    .attr(\"height\", height + margin.top + margin.bottom)\n    .style(\"background\", \"#1F1F1F\")\n  .append(\"g\")\n    .attr(\"transform\",\n          \"translate(\" + margin.left + \",\" + margin.top + \")\")\n\n// Obtain title\nvar title = \"\"\nvar titleFontSize = 16\n\nif ( title.length > 0 ) {\n    svg.append(\"text\")\n        .attr(\"x\", (width / 2))\n        .attr(\"y\", 0 - (margin.top / 2))\n        .attr(\"text-anchor\", \"middle\")\n        .style(\"font-size\", titleFontSize.toString() + \"px\")\n        .style(\"fill\", \"Ivory\")\n        .text(title);\n}\n\nconst edges = [{\"from\":\"11\",\"to\":\"15\",\"weight\":1,\"label\":\"\"},{\"weight\":1,\"from\":\"15\",\"label\":\"\",\"to\":\"17\"},{\"weight\":1,\"to\":\"15\",\"label\":\"\",\"from\":\"12\"},{\"weight\":1,\"from\":\"13\",\"label\":\"\",\"to\":\"15\"},{\"label\":\"\",\"weight\":1,\"from\":\"15\",\"to\":\"19\"},{\"from\":\"15\",\"to\":\"16\",\"label\":\"\",\"weight\":1},{\"label\":\"\",\"to\":\"5\",\"from\":\"3\",\"weight\":1},{\"to\":\"4\",\"from\":\"3\",\"label\":\"\",\"weight\":1},{\"to\":\"7\",\"label\":\"\",\"weight\":1,\"from\":\"3\"},{\"from\":\"1\",\"weight\":1,\"label\":\"\",\"to\":\"3\"},{\"weight\":1,\"to\":\"17\",\"from\":\"13\",\"label\":\"\"},{\"from\":\"11\",\"to\":\"13\",\"label\":\"\",\"weight\":1},{\"to\":\"9\",\"weight\":1,\"label\":\"\",\"from\":\"13\"},{\"weight\":1,\"from\":\"16\",\"to\":\"20\",\"label\":\"\"},{\"to\":\"16\",\"from\":\"14\",\"label\":\"\",\"weight\":1},{\"from\":\"16\",\"weight\":1,\"label\":\"\",\"to\":\"18\"},{\"label\":\"\",\"weight\":1,\"to\":\"16\",\"from\":\"12\"},{\"from\":\"16\",\"weight\":1,\"label\":\"\",\"to\":\"19\"},{\"to\":\"8\",\"label\":\"\",\"from\":\"6\",\"weight\":1},{\"to\":\"8\",\"label\":\"\",\"from\":\"7\",\"weight\":1},{\"label\":\"\",\"weight\":1,\"to\":\"8\",\"from\":\"11\"},{\"from\":\"4\",\"label\":\"\",\"weight\":1,\"to\":\"8\"},{\"from\":\"10\",\"to\":\"8\",\"label\":\"\",\"weight\":1},{\"to\":\"8\",\"from\":\"12\",\"label\":\"\",\"weight\":1},{\"to\":\"2\",\"from\":\"1\",\"weight\":1,\"label\":\"\"},{\"to\":\"4\",\"from\":\"1\",\"label\":\"\",\"weight\":1},{\"weight\":1,\"to\":\"1\",\"label\":\"\",\"from\":\"0\"},{\"label\":\"\",\"from\":\"7\",\"to\":\"9\",\"weight\":1},{\"to\":\"9\",\"label\":\"\",\"weight\":1,\"from\":\"11\"},{\"weight\":1,\"to\":\"9\",\"from\":\"5\",\"label\":\"\"},{\"label\":\"\",\"weight\":1,\"from\":\"2\",\"to\":\"6\"},{\"to\":\"2\",\"weight\":1,\"label\":\"\",\"from\":\"0\"},{\"weight\":1,\"label\":\"\",\"to\":\"4\",\"from\":\"2\"},{\"label\":\"\",\"from\":\"12\",\"to\":\"14\",\"weight\":1},{\"from\":\"11\",\"weight\":1,\"label\":\"\",\"to\":\"12\"},{\"label\":\"\",\"from\":\"10\",\"to\":\"12\",\"weight\":1},{\"weight\":1,\"from\":\"17\",\"label\":\"\",\"to\":\"21\"},{\"weight\":1,\"label\":\"\",\"from\":\"17\",\"to\":\"19\"},{\"weight\":1,\"from\":\"4\",\"label\":\"\",\"to\":\"6\"},{\"label\":\"\",\"to\":\"7\",\"from\":\"4\",\"weight\":1},{\"weight\":1,\"to\":\"20\",\"label\":\"\",\"from\":\"18\"},{\"weight\":1,\"to\":\"18\",\"from\":\"14\",\"label\":\"\"},{\"from\":\"11\",\"to\":\"7\",\"weight\":1,\"label\":\"\"},{\"weight\":1,\"label\":\"\",\"to\":\"22\",\"from\":\"19\"},{\"weight\":1,\"from\":\"21\",\"label\":\"\",\"to\":\"22\"},{\"to\":\"22\",\"weight\":1,\"label\":\"\",\"from\":\"20\"},{\"label\":\"\",\"to\":\"23\",\"weight\":1,\"from\":\"22\"},{\"to\":\"14\",\"label\":\"\",\"from\":\"10\",\"weight\":1},{\"weight\":1,\"to\":\"7\",\"from\":\"5\",\"label\":\"\"},{\"weight\":1,\"from\":\"19\",\"label\":\"\",\"to\":\"20\"},{\"label\":\"\",\"to\":\"21\",\"from\":\"19\",\"weight\":1},{\"from\":\"21\",\"to\":\"23\",\"label\":\"\",\"weight\":1},{\"label\":\"\",\"to\":\"6\",\"from\":\"10\",\"weight\":1}];\n\nconst isDirected = false;\n\nconst vertexCoordinates = {\"7\":{\"y\":1.2e0,\"x\":0.692820323028e0},\"12\":{\"x\":2.77128129211e0,\"y\":0e0},\"13\":{\"x\":2.77128129211e0,\"y\":2.4e0},\"8\":{\"y\":0e0,\"x\":1.385640646055e0},\"19\":{\"x\":4.849742261193e0,\"y\":1.2e0},\"2\":{\"y\":-1.2e0,\"x\":-0.692820323028e0},\"20\":{\"x\":5.54256258422e0,\"y\":0e0},\"17\":{\"x\":4.1569219381649996e0,\"y\":2.4e0},\"9\":{\"y\":2.4e0,\"x\":1.385640646055e0},\"11\":{\"y\":1.2e0,\"x\":2.078460969083e0},\"23\":{\"x\":6.928203230275e0,\"y\":2.4e0},\"3\":{\"x\":-0.692820323028e0,\"y\":1.2e0},\"5\":{\"x\":0e0,\"y\":2.4e0},\"15\":{\"y\":1.2e0,\"x\":3.464101615138e0},\"1\":{\"y\":0e0,\"x\":-1.385640646055e0},\"6\":{\"y\":-1.2e0,\"x\":0.692820323028e0},\"4\":{\"y\":0e0,\"x\":0e0},\"10\":{\"y\":-1.2e0,\"x\":2.078460969083e0},\"22\":{\"y\":1.2e0,\"x\":6.235382907248e0},\"16\":{\"x\":4.1569219381649996e0,\"y\":0e0},\"0\":{\"x\":-2.078460969083e0,\"y\":-1.2e0},\"18\":{\"x\":4.849742261193e0,\"y\":-1.2e0},\"14\":{\"x\":3.464101615138e0,\"y\":-1.2e0},\"21\":{\"y\":2.4e0,\"x\":5.54256258422e0}};\n\nconst highlightSpecs = {};\n\nconst links = edges.map(e => ({\n  source: e.from,\n  target: e.to,\n  weight: e.weight,\n  label: e.label\n}));\n\nconst nodes = Object.keys(vertexCoordinates).map(key => ({\n  id: key,\n  x: vertexCoordinates[key].x,\n  y: vertexCoordinates[key].y\n}));\n\nvar xMin = Math.min.apply(Math, nodes.map(function(o) { return o.x; }))\nvar xMax = Math.max.apply(Math, nodes.map(function(o) { return o.x; }))\n\nvar yMin = Math.min.apply(Math, nodes.map(function(o) { return o.y; }))\nvar yMax = Math.max.apply(Math, nodes.map(function(o) { return o.y; }))\n\n// X scale and Axis\nvar xScale = d3.scaleLinear()\n    .domain([xMin, xMax])\n    .range([0, width]);\n\n// Y scale and Axis\nvar yScale = d3.scaleLinear()\n    .domain([yMin, yMax])\n    .range([height, 0]);\n\nnodes.forEach(node => {\n  node.x = xScale(node.x);\n  node.y = yScale(node.y);\n});\n\nconst link = svg.append(\"g\")\n    .attr(\"class\", \"links\")\n  .selectAll(\"line\")\n  .data(links)\n  .enter().append(\"line\")\n    .attr(\"class\", \"link\")\n    .attr(\"stroke\", d => {\n        for (const [color, items] of Object.entries(highlightSpecs)) {\n            if (items.some(item => Array.isArray(item) && item[0] === d.source && item[1] === d.target)) {\n                return color;\n            }\n        }\n        return \"SteelBlue\";\n    })\n    .attr(\"stroke-width\", 3)\n    .attr(\"x1\", d => nodes.find(n => n.id === d.source).x)\n    .attr(\"y1\", d => nodes.find(n => n.id === d.source).y)\n    .attr(\"x2\", d => nodes.find(n => n.id === d.target).x)\n    .attr(\"y2\", d => nodes.find(n => n.id === d.target).y);\n\nif (isDirected) {\n  link.attr(\"marker-end\", \"url(#arrow)\");\n  svg.append(\"defs\").append(\"marker\")\n    .attr(\"id\", \"arrow\")\n    .attr(\"viewBox\", \"0 -5 10 10\")\n    .attr(\"refX\", 16)\n    .attr(\"refY\", 0)\n    .attr(\"markerWidth\", 5)\n    .attr(\"markerHeight\", 5)\n    .attr(\"orient\", \"auto\")\n    .append(\"path\")\n    .attr(\"d\", \"M0,-5L10,0L0,5\")\n    .attr(\"fill\", \"SteelBlue\");\n}\n\nconst node = svg.append(\"g\")\n    .attr(\"class\", \"nodes\")\n  .selectAll(\"circle\")\n  .data(nodes)\n  .enter().append(\"circle\")\n    .attr(\"class\", \"node\")\n    .attr(\"r\", 6)\n    .attr(\"cx\", d => d.x)\n    .attr(\"cy\", d => d.y)\n    .attr(\"stroke\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .attr(\"fill\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .call(d3.drag()\n      .on(\"start\", dragstarted)\n      .on(\"drag\", dragged)\n      .on(\"end\", dragended));\n\nnode.append(\"title\")\n    .text(d => d.id);\n\nconst nodeLabel = svg.append(\"g\")\n    .attr(\"class\", \"node-labels\")\n  .selectAll(\"text\")\n  .data(nodes)\n  .enter().append(\"text\")\n    .attr(\"class\", \"node-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier New\")\n    .attr(\"font-weight\", 100)\n    .attr(\"dy\", -10)\n    .attr(\"x\", d => d.x)\n    .attr(\"y\", d => d.y)\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.id);\n\nconst linkLabel = svg.append(\"g\")\n    .attr(\"class\", \"link-labels\")\n  .selectAll(\"text\")\n  .data(links)\n  .enter().append(\"text\")\n    .filter(d => d.label !== \"\")\n    .attr(\"class\", \"link-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier New\")\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .attr(\"font-weight\", 100)\n    .attr(\"dy\", -10)\n    .attr(\"x\", d => xScale((vertexCoordinates[d.source].x + vertexCoordinates[d.target].x) / 2))\n    .attr(\"y\", d => yScale((vertexCoordinates[d.source].y + vertexCoordinates[d.target].y) / 2))\n    .text(d => d.label);\n\nfunction dragstarted(event, d) {\n  d3.select(this).raise().attr(\"stroke\", \"SteelBlue\");\n}\n\nfunction dragged(event, d) {\n  d.x = event.x;\n  d.y = event.y;\n  d3.select(this).attr(\"cx\", d.x).attr(\"cy\", d.y);\n  link\n    .attr(\"x1\", l => nodes.find(n => n.id === l.source).x)\n    .attr(\"y1\", l => nodes.find(n => n.id === l.source).y)\n    .attr(\"x2\", l => nodes.find(n => n.id === l.target).x)\n    .attr(\"y2\", l => nodes.find(n => n.id === l.target).y);\n}\n\nfunction dragended(event, d) {\n  d3.select(this).attr(\"stroke\", null);\n}\n\n}) })(element);\n"
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#%js\n",
    "my $g = Graph::TriangularGrid.new(3, 5, scale => 0.4);\n",
    "\n",
    "$g.edges(:dataset) \n",
    "==> js-d3-graph-plot(\n",
    "    vertex-coordinates => $g.vertex-coordinates,\n",
    "    :$background, \n",
    "    :$title-color, \n",
    "    width => 800, \n",
    "    height => 400, \n",
    "    :$edge-thickness,\n",
    "    :$vertex-size,\n",
    "    directed => $g.directed,\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Graph(vertexes => 24, edges => 53, directed => False)"
      ]
     },
     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "$g"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
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      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#% html\n",
    "$g.dot(\n",
    "    :$background,\n",
    "    :node-labels,\n",
    "    node-width => .3,\n",
    "    node-height => .3,\n",
    "    node-shape => 'hexagon',\n",
    "    node-color => 'Ivory',\n",
    "    node-penwidth => 1,\n",
    "    node-fill-color => 'SlateBlue',\n",
    "    node-font-size => 10,\n",
    "    edge-thickness => 4,\n",
    "    :$engine, \n",
    "    graph-size => (8,8)\n",
    "):svg"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "------\n",
    "## Wheel graph"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": "(function(element) { require(['d3'], function(d3) {\n\n// set the dimensions and margins of the graph\nvar margin = {\"right\":40,\"left\":40,\"top\":40,\"bottom\":40},\n    width = 400 - margin.left - margin.right,\n    height = 400 - margin.top - margin.bottom;\n\n// append the svg object to the body of the page\nvar svg = d3\n   .select(element.get(0))\n  .append(\"svg\")\n    .attr(\"width\", width + margin.left + margin.right)\n    .attr(\"height\", height + margin.top + margin.bottom)\n    .style(\"background\", \"#1F1F1F\")\n  .append(\"g\")\n    .attr(\"transform\",\n          \"translate(\" + margin.left + \",\" + margin.top + \")\")\n\n// Obtain title\nvar title = \"\"\nvar titleFontSize = 16\n\nif ( title.length > 0 ) {\n    svg.append(\"text\")\n        .attr(\"x\", (width / 2))\n        .attr(\"y\", 0 - (margin.top / 2))\n        .attr(\"text-anchor\", \"middle\")\n        .style(\"font-size\", titleFontSize.toString() + \"px\")\n        .style(\"fill\", \"Ivory\")\n        .text(title);\n}\n\nconst edges = [{\"label\":\"\",\"to\":\"s:9\",\"from\":\"s:8\",\"weight\":1},{\"to\":\"s:4\",\"weight\":1,\"label\":\"\",\"from\":\"s:3\"},{\"weight\":1,\"label\":\"\",\"to\":\"s:6\",\"from\":\"s:5\"},{\"label\":\"\",\"weight\":1,\"from\":\"s:2\",\"to\":\"s:3\"},{\"label\":\"\",\"to\":\"s:5\",\"weight\":1,\"from\":\"s:4\"},{\"from\":\"s:9\",\"to\":\"s:1\",\"label\":\"\",\"weight\":1},{\"label\":\"\",\"to\":\"s:3\",\"from\":\"hub\",\"weight\":1},{\"from\":\"hub\",\"to\":\"s:5\",\"label\":\"\",\"weight\":1},{\"to\":\"s:1\",\"label\":\"\",\"weight\":1,\"from\":\"hub\"},{\"weight\":1,\"from\":\"hub\",\"label\":\"\",\"to\":\"s:2\"},{\"from\":\"hub\",\"label\":\"\",\"to\":\"s:7\",\"weight\":1},{\"to\":\"s:9\",\"from\":\"hub\",\"label\":\"\",\"weight\":1},{\"weight\":1,\"to\":\"s:4\",\"label\":\"\",\"from\":\"hub\"},{\"to\":\"s:6\",\"weight\":1,\"label\":\"\",\"from\":\"hub\"},{\"from\":\"hub\",\"to\":\"s:8\",\"weight\":1,\"label\":\"\"},{\"from\":\"s:6\",\"label\":\"\",\"weight\":1,\"to\":\"s:7\"},{\"to\":\"s:2\",\"from\":\"s:1\",\"label\":\"\",\"weight\":1},{\"label\":\"\",\"to\":\"s:8\",\"from\":\"s:7\",\"weight\":1}];\n\nconst nodes = Array.from(new Set(edges.flatMap(e => [e.from, e.to])), id => ({id}));\n\nconst highlightSpecs = {};\n\nconst links = edges.map(e => ({\n  source: e.from,\n  target: e.to,\n  weight: e.weight,\n  label: e.label,\n}));\n\n//.force(\"link\", d3.forceLink(links).id(d => d.id).distance(d => Math.max(d.weight * 20, 6 * 4)))\nconst simulation = d3.forceSimulation(nodes)\n    .force(\"link\", d3.forceLink(links).id(d => d.id).iterations(1))\n    .force(\"charge\", d3.forceManyBody().strength(-1800).distanceMin(1).distanceMax(2000))\n    .force(\"x\", d3.forceX())\n    .force(\"y\", d3.forceY())\n    .force(\"collision\", d3.forceCollide().radius(10))\n    .force(\"center\", d3.forceCenter(width / 2, height / 2));\n\nsvg.append('defs').append('marker')\n    .attr(\"id\",'arrowhead')\n    .attr('viewBox','-0 -5 10 10') //the bound of the SVG viewport for the current SVG fragment. defines a coordinate system 10 wide and 10 high starting on (0,-5)\n     .attr('refX', 16) // x coordinate for the reference point of the marker. If circle is bigger, this need to be bigger.\n     .attr('refY',0)\n     .attr('orient','auto')\n        .attr('markerWidth', 5)\n        .attr('markerHeight', 5)\n        .attr('xoverflow','visible')\n    .append('svg:path')\n    .attr('d', 'M 0,-5 L 10 ,0 L 0,5')\n    .attr('fill', \"SteelBlue\")\n    .style('stroke','none');\n\nconst link = svg.append(\"g\")\n    .attr(\"class\", \"links\")\n  .selectAll(\"line\")\n  .data(links)\n  .enter().append(\"line\")\n    .attr(\"class\", \"link\")\n    .attr(\"stroke\", d => {\n        for (const [color, items] of Object.entries(highlightSpecs)) {\n            if (items.some(item => Array.isArray(item) && item[0] === d.source.id && item[1] === d.target.id)) {\n                return color;\n            }\n        }\n        return \"SteelBlue\";\n    })\n    .attr(\"stroke-width\", 3)\n    .attr('marker-end','url(#arrowhead)')\n\nconst node = svg.append(\"g\")\n    .attr(\"class\", \"nodes\")\n  .selectAll(\"circle\")\n  .data(nodes)\n  .enter().append(\"circle\")\n    .attr(\"class\", \"node\")\n    .attr(\"r\", 6)\n    .attr(\"stroke\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .attr(\"fill\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .call(drag(simulation));\n\nnode.append(\"title\")\n    .text(d => d.id);\n\nconst nodeLabel = svg.append(\"g\")\n    .attr(\"class\", \"node-labels\")\n  .selectAll(\"text\")\n  .data(nodes)\n  .enter().append(\"text\")\n    .attr(\"class\", \"node-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier New\")\n    .attr(\"font-weight\", 100)\n    .attr(\"dy\", -10)\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.id);\n\nconst linkLabel = svg.append(\"g\")\n    .attr(\"class\", \"link-labels\")\n  .selectAll(\"text\")\n  .data(links)\n  .enter().append(\"text\")\n    .filter(d => d.label !== \"\")\n    .attr(\"class\", \"link-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier\")\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.label);\n\nsimulation.on(\"tick\", () => {\n  link\n      .attr(\"x1\", d => d.source.x)\n      .attr(\"y1\", d => d.source.y)\n      .attr(\"x2\", d => d.target.x)\n      .attr(\"y2\", d => d.target.y);\n\n  node\n      .attr(\"cx\", d => d.x)\n      .attr(\"cy\", d => d.y);\n\n  nodeLabel\n      .attr(\"x\", d => d.x)\n      .attr(\"y\", d => d.y);\n\n  linkLabel\n      .attr(\"x\", d => (d.source.x + d.target.x) / 2)\n      .attr(\"y\", d => (d.source.y + d.target.y) / 2);\n});\n\nfunction drag(simulation) {\n  function dragstarted(event, d) {\n    if (!event.active) simulation.alphaTarget(0.3).restart();\n    d.fx = d.x;\n    d.fy = d.y;\n  }\n\n  function dragged(event, d) {\n    d.fx = event.x;\n    d.fy = event.y;\n  }\n\n  function dragended(event, d) {\n    if (!event.active) simulation.alphaTarget(0);\n    d.fx = null;\n    d.fy = null;\n  }\n\n  return d3.drag()\n      .on(\"start\", dragstarted)\n      .on(\"drag\", dragged)\n      .on(\"end\", dragended);\n}\n\n}) })(element);\n"
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#%js\n",
    "my $g = Graph::Wheel.new(spokes => 9, center => 'hub', prefix => 's:', :directed);\n",
    "\n",
    "$g.edges(:dataset) \n",
    "==> js-d3-graph-plot(\n",
    "        #vertex-coordinates => $g.vertex-coordinates,\n",
    "        :$background, \n",
    "        :$title-color, \n",
    "        width => 400, \n",
    "        height => 400, \n",
    "        :$edge-thickness,\n",
    "        :$vertex-size,\n",
    "        directed => $g.directed,\n",
    "        force => {charge => {strength => -1800, iterations => 2}, collision => {radius => 10, iterations => 1}, link => {minDistance => 3}}\n",
    "    )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "<g id=\"node8\" class=\"node\">\n",
       "<title>hub</title>\n",
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       "<!-- hub&#45;&gt;s:3 -->\n",
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       "<title>hub&#45;&gt;s:5</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"2\" d=\"M153.11,-152.46C133.62,-136.95 93.27,-104.85 68.33,-85\"/>\n",
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       "<g id=\"edge10\" class=\"edge\">\n",
       "<title>hub&#45;&gt;s:2</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"2\" d=\"M177.98,-156.05C201.26,-146.88 249.03,-128.06 278.54,-116.43\"/>\n",
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       "<title>hub&#45;&gt;s:4</title>\n",
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       "</g>\n",
       "<!-- s:1 -->\n",
       "<g id=\"node9\" class=\"node\">\n",
       "<title>s:1</title>\n",
       "<ellipse fill=\"SlateBlue\" stroke=\"Black\" cx=\"306.54\" cy=\"-209\" rx=\"14.4\" ry=\"14.4\"/>\n",
       "<text text-anchor=\"middle\" x=\"306.54\" y=\"-204.72\" font-family=\"Times,serif\" font-size=\"12.00\" fill=\"White\">s:1</text>\n",
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       "<!-- hub&#45;&gt;s:1 -->\n",
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       "<title>hub&#45;&gt;s:1</title>\n",
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       "<g id=\"edge12\" class=\"edge\">\n",
       "<title>hub&#45;&gt;s:9</title>\n",
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       "<g id=\"edge17\" class=\"edge\">\n",
       "<title>s:1&#45;&gt;s:2</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"2\" d=\"M306.15,-194.31C305.72,-178.63 305.04,-153.42 304.52,-134.03\"/>\n",
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       "</g>\n",
       "<!-- s:9&#45;&gt;s:1 -->\n",
       "<g id=\"edge6\" class=\"edge\">\n",
       "<title>s:9&#45;&gt;s:1</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"2\" d=\"M251.78,-277.69C261.55,-265.42 277.28,-245.7 289.37,-230.53\"/>\n",
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       "</g>\n",
       "</svg>\n"
      ]
     },
     "execution_count": 53,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#% html\n",
    "$g.&sfdp(node-label-location=>'c', node-width => 0.4, node-fill-color => 'SlateBlue')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Wheel graphs are Hamiltonian:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[hub s:2 s:3 s:4 s:5 s:6 s:7 s:8 s:9 s:1 hub]"
      ]
     },
     "execution_count": 54,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "my @path = $g.find-hamiltonian-path('hub', 's:1').push('hub')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/javascript": "(function(element) { require(['d3'], function(d3) {\n\n// set the dimensions and margins of the graph\nvar margin = {\"top\":40,\"bottom\":40,\"left\":40,\"right\":40},\n    width = 300 - margin.left - margin.right,\n    height = 300 - margin.top - margin.bottom;\n\n// append the svg object to the body of the page\nvar svg = d3\n   .select(element.get(0))\n  .append(\"svg\")\n    .attr(\"width\", width + margin.left + margin.right)\n    .attr(\"height\", height + margin.top + margin.bottom)\n    .style(\"background\", \"#1F1F1F\")\n  .append(\"g\")\n    .attr(\"transform\",\n          \"translate(\" + margin.left + \",\" + margin.top + \")\")\n\n// Obtain title\nvar title = \"\"\nvar titleFontSize = 16\n\nif ( title.length > 0 ) {\n    svg.append(\"text\")\n        .attr(\"x\", (width / 2))\n        .attr(\"y\", 0 - (margin.top / 2))\n        .attr(\"text-anchor\", \"middle\")\n        .style(\"font-size\", titleFontSize.toString() + \"px\")\n        .style(\"fill\", \"Ivory\")\n        .text(title);\n}\n\nconst edges = [{\"to\":\"s:9\",\"label\":\"\",\"from\":\"s:8\",\"weight\":1},{\"label\":\"\",\"from\":\"s:3\",\"to\":\"s:4\",\"weight\":1},{\"label\":\"\",\"weight\":1,\"to\":\"s:6\",\"from\":\"s:5\"},{\"label\":\"\",\"from\":\"s:2\",\"weight\":1,\"to\":\"s:3\"},{\"label\":\"\",\"weight\":1,\"from\":\"s:4\",\"to\":\"s:5\"},{\"to\":\"s:1\",\"from\":\"s:9\",\"weight\":1,\"label\":\"\"},{\"label\":\"\",\"to\":\"s:3\",\"from\":\"hub\",\"weight\":1},{\"from\":\"hub\",\"weight\":1,\"label\":\"\",\"to\":\"s:5\"},{\"label\":\"\",\"weight\":1,\"to\":\"s:1\",\"from\":\"hub\"},{\"from\":\"hub\",\"to\":\"s:2\",\"weight\":1,\"label\":\"\"},{\"from\":\"hub\",\"weight\":1,\"label\":\"\",\"to\":\"s:7\"},{\"weight\":1,\"to\":\"s:9\",\"from\":\"hub\",\"label\":\"\"},{\"from\":\"hub\",\"to\":\"s:4\",\"label\":\"\",\"weight\":1},{\"label\":\"\",\"to\":\"s:6\",\"from\":\"hub\",\"weight\":1},{\"from\":\"hub\",\"weight\":1,\"to\":\"s:8\",\"label\":\"\"},{\"from\":\"s:6\",\"label\":\"\",\"to\":\"s:7\",\"weight\":1},{\"from\":\"s:1\",\"to\":\"s:2\",\"label\":\"\",\"weight\":1},{\"weight\":1,\"label\":\"\",\"to\":\"s:8\",\"from\":\"s:7\"}];\n\nconst nodes = Array.from(new Set(edges.flatMap(e => [e.from, e.to])), id => ({id}));\n\nconst highlightSpecs = {\"Orange\":[[\"hub\",\"s:2\"],[\"s:2\",\"s:3\"],[\"s:3\",\"s:4\"],[\"s:4\",\"s:5\"],[\"s:5\",\"s:6\"],[\"s:6\",\"s:7\"],[\"s:7\",\"s:8\"],[\"s:8\",\"s:9\"],[\"s:9\",\"s:1\"],[\"s:1\",\"hub\"],[\"s:2\",\"hub\"],[\"s:3\",\"s:2\"],[\"s:4\",\"s:3\"],[\"s:5\",\"s:4\"],[\"s:6\",\"s:5\"],[\"s:7\",\"s:6\"],[\"s:8\",\"s:7\"],[\"s:9\",\"s:8\"],[\"s:1\",\"s:9\"],[\"hub\",\"s:1\"]]};\n\nconst links = edges.map(e => ({\n  source: e.from,\n  target: e.to,\n  weight: e.weight,\n  label: e.label,\n}));\n\n//.force(\"link\", d3.forceLink(links).id(d => d.id).distance(d => Math.max(d.weight * 20, 6 * 4)))\nconst simulation = d3.forceSimulation(nodes)\n    .force(\"link\", d3.forceLink(links).id(d => d.id).distance(1).iterations(1))\n    .force(\"charge\", d3.forceManyBody().strength(-1400).distanceMin(1).distanceMax(2000))\n    .force(\"x\", d3.forceX())\n    .force(\"y\", d3.forceY())\n    .force(\"collision\", d3.forceCollide().radius(1))\n    .force(\"center\", d3.forceCenter(width / 2, height / 2));\n\nsvg.append('defs').append('marker')\n    .attr(\"id\",'arrowhead')\n    .attr('viewBox','-0 -5 10 10') //the bound of the SVG viewport for the current SVG fragment. defines a coordinate system 10 wide and 10 high starting on (0,-5)\n     .attr('refX', 16) // x coordinate for the reference point of the marker. If circle is bigger, this need to be bigger.\n     .attr('refY',0)\n     .attr('orient','auto')\n        .attr('markerWidth', 5)\n        .attr('markerHeight', 5)\n        .attr('xoverflow','visible')\n    .append('svg:path')\n    .attr('d', 'M 0,-5 L 10 ,0 L 0,5')\n    .attr('fill', \"SteelBlue\")\n    .style('stroke','none');\n\nconst link = svg.append(\"g\")\n    .attr(\"class\", \"links\")\n  .selectAll(\"line\")\n  .data(links)\n  .enter().append(\"line\")\n    .attr(\"class\", \"link\")\n    .attr(\"stroke\", d => {\n        for (const [color, items] of Object.entries(highlightSpecs)) {\n            if (items.some(item => Array.isArray(item) && item[0] === d.source.id && item[1] === d.target.id)) {\n                return color;\n            }\n        }\n        return \"SteelBlue\";\n    })\n    .attr(\"stroke-width\", 3)\n    \n\nconst node = svg.append(\"g\")\n    .attr(\"class\", \"nodes\")\n  .selectAll(\"circle\")\n  .data(nodes)\n  .enter().append(\"circle\")\n    .attr(\"class\", \"node\")\n    .attr(\"r\", 6)\n    .attr(\"stroke\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .attr(\"fill\", d => {\n       for (const [color, items] of Object.entries(highlightSpecs)) {\n         if (items.includes(d.id)) {\n            return color;\n         }\n       }\n       return \"SteelBlue\";\n    })\n    .call(drag(simulation));\n\nnode.append(\"title\")\n    .text(d => d.id);\n\nconst nodeLabel = svg.append(\"g\")\n    .attr(\"class\", \"node-labels\")\n  .selectAll(\"text\")\n  .data(nodes)\n  .enter().append(\"text\")\n    .attr(\"class\", \"node-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier New\")\n    .attr(\"font-weight\", 100)\n    .attr(\"dy\", -10)\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.id);\n\nconst linkLabel = svg.append(\"g\")\n    .attr(\"class\", \"link-labels\")\n  .selectAll(\"text\")\n  .data(links)\n  .enter().append(\"text\")\n    .filter(d => d.label !== \"\")\n    .attr(\"class\", \"link-label\")\n    .style(\"font-size\", 13)\n    .attr(\"font-family\", \"Courier\")\n    .attr('fill', \"Ivory\")\n    .attr('stroke', \"Ivory\")\n    .text(d => d.label);\n\nsimulation.on(\"tick\", () => {\n  link\n      .attr(\"x1\", d => d.source.x)\n      .attr(\"y1\", d => d.source.y)\n      .attr(\"x2\", d => d.target.x)\n      .attr(\"y2\", d => d.target.y);\n\n  node\n      .attr(\"cx\", d => d.x)\n      .attr(\"cy\", d => d.y);\n\n  nodeLabel\n      .attr(\"x\", d => d.x)\n      .attr(\"y\", d => d.y);\n\n  linkLabel\n      .attr(\"x\", d => (d.source.x + d.target.x) / 2)\n      .attr(\"y\", d => (d.source.y + d.target.y) / 2);\n});\n\nfunction drag(simulation) {\n  function dragstarted(event, d) {\n    if (!event.active) simulation.alphaTarget(0.3).restart();\n    d.fx = d.x;\n    d.fy = d.y;\n  }\n\n  function dragged(event, d) {\n    d.fx = event.x;\n    d.fy = event.y;\n  }\n\n  function dragended(event, d) {\n    if (!event.active) simulation.alphaTarget(0);\n    d.fx = null;\n    d.fy = null;\n  }\n\n  return d3.drag()\n      .on(\"start\", dragstarted)\n      .on(\"drag\", dragged)\n      .on(\"end\", dragended);\n}\n\n}) })(element);\n"
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#%js\n",
    "$g.edges(:dataset) \n",
    "==> js-d3-graph-plot(\n",
    "        highlight => |@path.rotor(2 => -1).map({ $_.head => $_.tail }).Array,\n",
    "        :$background, \n",
    "        :$title-color, \n",
    "        width => 300,\n",
    "        height => 300, \n",
    "        :$edge-thickness,\n",
    "        :$vertex-size,\n",
    "        :!directed,\n",
    "        force => {charge => {strength => -1400, iterations => 2}, collision => {radius => 1, iterations => 1}, link => {distance => 1}})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "<!-- Generated by graphviz version 11.0.0 (20240428.1522)\n",
       " -->\n",
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       "</g>\n",
       "<!-- s:8&#45;&gt;s:9 -->\n",
       "<g id=\"edge16\" class=\"edge\">\n",
       "<title>s:8&#45;&gt;s:9</title>\n",
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       "<!-- s:3&#45;&gt;s:4 -->\n",
       "<g id=\"edge11\" class=\"edge\">\n",
       "<title>s:3&#45;&gt;s:4</title>\n",
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       "<!-- s:5&#45;&gt;s:6 -->\n",
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       "<title>s:5&#45;&gt;s:6</title>\n",
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       "<!-- s:2&#45;&gt;s:3 -->\n",
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       "<title>s:2&#45;&gt;s:3</title>\n",
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       "<title>s:4&#45;&gt;s:5</title>\n",
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       "<g id=\"node8\" class=\"node\">\n",
       "<title>hub</title>\n",
       "<ellipse fill=\"SteelBlue\" stroke=\"Black\" cx=\"78.46\" cy=\"-81.71\" rx=\"10.8\" ry=\"10.8\"/>\n",
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       "<g id=\"edge6\" class=\"edge\">\n",
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       "<title>hub&#45;&gt;s:5</title>\n",
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       "<title>s:1&#45;&gt;s:2</title>\n",
       "<path fill=\"none\" stroke=\"SteelBlue\" stroke-width=\"2\" d=\"M146.72,-91.98C145.26,-96 143.52,-100.77 141.79,-105.51\"/>\n",
       "<polygon fill=\"SteelBlue\" stroke=\"SteelBlue\" stroke-width=\"2\" points=\"138.62,-103.98 138.49,-114.58 145.2,-106.38 138.62,-103.98\"/>\n",
       "</g>\n",
       "<!-- s:1&#45;&gt;hub -->\n",
       "<g id=\"edge18\" class=\"edge\">\n",
       "<title>s:1&#45;&gt;hub</title>\n",
       "<path fill=\"none\" stroke=\"DarkOrange\" stroke-width=\"2\" d=\"M139.21,-81.71C129.32,-81.71 114.61,-81.71 102.14,-81.71\"/>\n",
       "<polygon fill=\"DarkOrange\" stroke=\"DarkOrange\" stroke-width=\"2\" points=\"102.42,-78.21 92.42,-81.71 102.42,-85.21 102.42,-78.21\"/>\n",
       "</g>\n",
       "<!-- s:9&#45;&gt;s:1 -->\n",
       "<g id=\"edge17\" class=\"edge\">\n",
       "<title>s:9&#45;&gt;s:1</title>\n",
       "<path fill=\"none\" stroke=\"DarkOrange\" stroke-width=\"2\" d=\"M137.35,-45.7C138.81,-49.71 140.55,-54.49 142.28,-59.23\"/>\n",
       "<polygon fill=\"DarkOrange\" stroke=\"DarkOrange\" stroke-width=\"2\" points=\"138.87,-60.1 145.58,-68.3 145.45,-57.7 138.87,-60.1\"/>\n",
       "</g>\n",
       "</g>\n",
       "</svg>\n"
      ]
     },
     "execution_count": 56,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#% html\n",
    "neato($g, highlight => |@path.rotor(2 => -1).map({ $_.head => $_.tail }).Array)"
   ]
  }
 ],
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  "kernelspec": {
   "display_name": "RakuChatbook",
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   "file_extension": ".raku",
   "mimetype": "text/x-raku",
   "name": "raku",
   "version": "6.d"
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