{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n",
      "Attaching package: ‘igraph’\n",
      "\n",
      "\n",
      "The following objects are masked from ‘package:stats’:\n",
      "\n",
      "    decompose, spectrum\n",
      "\n",
      "\n",
      "The following object is masked from ‘package:base’:\n",
      "\n",
      "    union\n",
      "\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "Plot with title “”"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 420,
       "width": 420
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# library\n",
    "# install.packages(\"IRKernel\", \"igraph\", \"RColorBrewer\")\n",
    "library(igraph)\n",
    "library(RColorBrewer)\n",
    "\n",
    "# create data:\n",
    "links <- data.frame(\n",
    "    source=c(\"A\",\"A\", \"A\", \"A\", \"A\",\"J\", \"B\", \"B\", \"C\", \"C\", \"D\",\"I\"),\n",
    "    target=c(\"B\",\"B\", \"C\", \"D\", \"J\",\"A\",\"E\", \"F\", \"G\", \"H\", \"I\",\"I\"),\n",
    "    importance=(sample(1:4, 12, replace=T))\n",
    "    )\n",
    "nodes <- data.frame(\n",
    "    name=LETTERS[1:10],\n",
    "    carac=c( rep(\"young\",3),rep(\"adult\",2), rep(\"old\",5))\n",
    ")\n",
    " \n",
    "# Turn it into igraph object\n",
    "network <- graph_from_data_frame(d=links, vertices=nodes, directed=F) \n",
    " \n",
    "# Make a palette of 3 colors\n",
    "coul  <- brewer.pal(3, \"Set1\") \n",
    "\n",
    "# Create a vector of color\n",
    "my_color <- coul[as.numeric(as.factor(V(network)$carac))]\n",
    " \n",
    "# Make the plot\n",
    "plot(network, vertex.color=my_color)\n",
    " \n",
    "# Add a legend\n",
    "legend(\"bottomleft\", legend=levels(as.factor(V(network)$carac))  , col = coul , bty = \"n\", pch=20 , pt.cex = 3, cex = 1.5, text.col=coul , horiz = FALSE, inset = c(0.1, 0.1))"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "R",
   "language": "R",
   "name": "ir"
  },
  "language_info": {
   "codemirror_mode": "r",
   "file_extension": ".r",
   "mimetype": "text/x-r-source",
   "name": "R",
   "pygments_lexer": "r",
   "version": "4.1.1"
  },
  "orig_nbformat": 4
 },
 "nbformat": 4,
 "nbformat_minor": 2
}