1.4 - Graphs.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div style=\"width: 100%; overflow: hidden;\">\n",
    "    <div style=\"width: 150px; float: left;\"> <img src=\"https://raw.githubusercontent.com/DataForScience/Networks/master/data/D4Sci_logo_ball.png\" alt=\"Data For Science, Inc\" align=\"left\" border=\"0\" width=150px> </div>\n",
    "    <div style=\"float: left; margin-left: 10px;\"> <h1>Causal Inference In Statistics - A Primer</h1>\n",
    "        <h1>1.4 Graphs</h1>\n",
    "        <p>Bruno Gonçalves<br/>\n",
    "        <a href=\"http://www.data4sci.com/\">www.data4sci.com</a><br/>\n",
    "            @bgoncalves, @data4sci</p></div>\n",
    "    <div style=\"float: right; margin-right:10px;\"> <p><a href=\"https://amzn.to/3gsFlkO\" target=_blank><img src='data/causality.jpeg' width='100px'>\n",
    "        <!--Amazon Affiliate Link--></a></p></div>\n",
    "</div>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from collections import Counter\n",
    "from pprint import pprint\n",
    "\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "\n",
    "import matplotlib\n",
    "import matplotlib.pyplot as plt \n",
    "\n",
    "import networkx as nx\n",
    "from networkx.drawing.nx_pydot import graphviz_layout\n",
    "\n",
    "import watermark\n",
    "\n",
    "%load_ext watermark\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We start by print out the versions of the libraries we're using for future reference"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "pandas     1.0.1\n",
      "watermark  2.0.2\n",
      "json       2.0.9\n",
      "networkx   2.4\n",
      "matplotlib 3.1.3\n",
      "autopep8   1.5\n",
      "numpy      1.18.1\n",
      "Fri Oct 16 2020 \n",
      "\n",
      "CPython 3.7.3\n",
      "IPython 6.2.1\n",
      "\n",
      "compiler   : Clang 4.0.1 (tags/RELEASE_401/final)\n",
      "system     : Darwin\n",
      "release    : 19.6.0\n",
      "machine    : x86_64\n",
      "processor  : i386\n",
      "CPU cores  : 8\n",
      "interpreter: 64bit\n",
      "Git hash   : 4eecd30344d5677356267e69b3559341d7f43a0d\n"
     ]
    }
   ],
   "source": [
    "%watermark -n -v -m -g -iv"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Load default figure style"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.style.use('./d4sci.mplstyle')\n",
    "colors = plt.rcParams['axes.prop_cycle'].by_key()['color']"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Graphs"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Graphs allow us to represent relationships (edges) between entities (nodes). We will use the [NetworkX](https://networkx.github.io/) Python package to handle all of our graphs for the rest of the course."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We start by instanciating a new Graph object"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "G = nx.Graph()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can add nodes one by one or from a list of nodes. Any Python hashable object can be a node:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "G.add_nodes_from(['X', 'Y', 'Z'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Similarly, we can add edges one by one of from a list. Edges are a pair of nodes with an optional dictionary contianing data about the edge:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "G.add_edges_from([('X', 'Y', {'label':'A'}), ('Y', 'Z', {'label':'B'})])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "NetworkX has an extensive set of drawing functionality. We can simply draw the graph directly:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/bgoncalves/anaconda3/lib/python3.7/site-packages/IPython/core/events.py:73: UserWarning: This figure includes Axes that are not compatible with tight_layout, so results might be incorrect.\n",
      "  func(*args, **kwargs)\n",
      "/Users/bgoncalves/anaconda3/lib/python3.7/site-packages/IPython/core/pylabtools.py:122: UserWarning: This figure includes Axes that are not compatible with tight_layout, so results might be incorrect.\n",
      "  fig.canvas.print_figure(bytes_io, **kw)\n"
     ]
    },
    {
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      "text/plain": [
       "<Figure size 3840x2640 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nx.draw(G)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Or customize the plot by definining our own layout (node coordinates):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "pos = {'X':(-1, 0), 'Y':(0, 0), 'Z':(1, 0)}\n",
    "labels = {(node_i, node_j) : label for node_i, node_j, label in G.edges(data='label', default='')}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And the way we want the graph to be plotted using Matplotlib."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1200x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, figsize=(4,1))\n",
    "nx.draw(G, pos, ax=ax, node_color=colors[0])\n",
    "nx.draw_networkx_labels(G, pos, ax=ax)\n",
    "nx.draw_networkx_edge_labels(G, pos, labels, ax=ax)\n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To create a directed graph, we simply use DiGraph()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "G = nx.DiGraph()\n",
    "G.add_nodes_from(['X', 'Y', 'Z'])\n",
    "G.add_edges_from([('X', 'Y', {'label':'A'}), ('Y', 'Z', {'label':'B'})])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And we can plot it in just the same way"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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6Tc3dHjjbAy6moKDA77hdxYJT2RKbmKKeD7wmucy/GmydO0VfvjFRZ/ZvMY037jpIWT++P5xTlES2IHqsXLlSDzzwgGlsypQpcodpRQ+ii79ssbNYcPp7y/ed2PZPfT3vUZ/xFv1Gqd2NtR8UOJTIlsDxiRaEvXnO7od0WUYzdb1r5gVv03n0s0pq1CpMMzLbdzqy9tNC/VOzHKhZHkhSu3bt1Lt37+rLu3fv1tq1a0M+N9RdwRYLTmZL5lX91XboRNNYxbkC7f/nHNNYXHJD9Rj/SjinVo1sgdM2btyoDz/80OfnH//4hxYvXqzf//73GjBggAYNGqQzZ85U3+/222/XxIkTL7BlwD87igWnv7dUKTq5X+tfHCPD6zGNp7Xu5vd4PuFCtgQu1ukJRKvickNHC52ehdTyujE6tOYdndj6oc91P+g2WG1q7BMbTkcLK5+npLjwr44A9u7dq08//bT6cosWLTRgwAC/tx0zZozpi19OTo769u0b8jmiblu2bJmWLVumoUOH6oknnjAVV7WJhGzpOPxJHd/yd58zBX1f17tf0GWXNw/jrM4jW+C0KVOmWLp9hw4dNHnyZI0bN86RFaOoO6qKhZdeekkTJ07U5MmTlZGRcdH7RUK2SFJFabHWzbxdZWe/M43Hp2aqz+SFiol37oClZEvgWKEQoNwIWRZTWnBKZw585fe6pr1/FubZmBmKnOcJ9U/NgzHecccdtf4iN3LkSMXGnu9XFyxYoJKSklBOD/WIlRULkfCZGROfqJ4PzpErxv/fHJr2HqaW/e8I86zOI1sQTdq3b6/x48dr+PDhlAmwjdUVC5HymbnplfE6c2CracwVE6vek/7XsRXVVciWwFEoBChSDtzx5ZyJKj1z3O91X8+fqtICZ891vI83JhxgGIbeeust05i/3R2qNGrUSD/5yU+qL+fn52vJkiUhmx/qp0spFiIlW9Kzeqj9sEd8xuNTM9Vt7J8dmJEZ2YJosWvXLk2ePFktW7bUnDlzLn4HwIJLLRYiIVt2/98fdGTtIp/xznfMUKNOA8M/IT/IlsCwy0OAzpQ6/4I7/NlCHVn3bq3XlxWc1JdzJqn3Q75HUA2XY6eLdPJkqWOPj+jgdrt1+eWX27a9VatW6cCBA9WXu3btqs6dO1/wPqNHj9ayZcuqL7/55psaMWKELfMpKipScXGxLduC84qKioK6f9WuEIMGDdJjjz2m6667rvq6SMiWKpkdr5NqREyD5h2V0KCRMxP6HrIFlyI5OVlJSfafx37VqlUaOHCg3+uKiop0/PhxbdiwQXPnztXSpUslVR5wb+zYsTpw4ICefPJJW+Zx+vRpeTyei98QUcHrDXwf/qpi4cUXX9R9992n3/72t6bfq5zOluNbV2j7gsd9xlv0H+1z3B4nnSmJnAyOJhQKASpz+PO7JP9bbXljks94XFKayovPHwDoyLp3deTzd9Wsz63hnF61P788W/e/9StHHhvRo0mTJjp27Jht26u5u8OFVidUGTZsmFJSUnT27FlJ0ooVK3Ts2DFdccUVQc9nxowZmj59etDbQd1SdSC37t27a8OGDXK73Y5nS7QgW3ApnnvuOcvHOwhWcnKysrKylJWVpeHDh2v+/PkaM2ZM9Rf/p556Sr169fI5hXEg+vXrp507dwa9HdQdZ8+e1QsvvKA//vGPeuGFFzRpUuV3BSez5ezxvVr/0p0+B2Fs2KaHuo+b5dCs/CODA8MuDwEqd/gFt/nVB1V+1rysqc2g+9TjgVd9brvljUmO7frgjkt05HFRf509e1bvvfde9WW326077rj4/t5JSUm65ZZbqi97PB6f3SaAUNi8ebPmzatcSeZ0tkQLsgXRYuTIkfr1r39tGpsyZYoMg7+EInQMw9Ajj5zfbc2pbKkoOat1M29XeVGeaTy+QSNdM3mBYuIj67O8nBM9BIQVCgGqcPAFd+Djufp201LTWFLj1uo8+hnFJqao+bUjdPizBdXXlRWc1JY5E3XNQ++Ee6qKiYsP+2Oiflu0aJFpSfqVV16pHTt2aMeO2o9YXyUrK8t0OScnx+cXQSCUnMyWaEK2IJpMnDhRM2bMqL68a9curV27Vtdee62Ds0J94lS2bHx5nAoOfW0aqz4IY2ZLZyZ1AZT6gaFQCFCsQ2s7zn13WF/NrbF8z+VSz/tfVWxiiiTphz//o05u/1il+d9W3+Touvd0eO1iNe97WzinK095WVgfD8jJyTFd3rlzp3784x8HtK3t27dr/fr16tWrlx1TA/zq3r179Soap7Il2pAtiCZNmjRRVlaW9u3bVz22Zs0aCgWEjMvl0jPPPFN92Yls2fX+Mzr6xfs+413GPKtGHf2fxttpcTFOzyA6USgEyKkX3KbZ95uOkSBJ2YMfrDx41r/Ep2So29g/ad3M2023+/KNSWrU8TolpDUOy1wl6b5779bwZ+w5sB3qLrfbnqTLzc3VJ598Ysu2quTk5ARdKPzmN7+p3o8R0W/mzJl69tlng96Ov4My8svMpSFbcCmSk5OdnkK1xo0bmwqFQ4cOBb3NNWvWcFDGOqRHjx46fPhwUNtISUnR+PHj9eijj5oOyhjubPl289+0fZHvwUdbXnensof8IryTsSCOUj8gFAoBinfgl77cFbN1YuuHprHkJm3VceTTPrdtevVP1eLf7tChT8+f4aGs8FTlrg8Pzw/5XKukpVymRo1Sw/Z4qN9ycnJs3y/1nXfe0fPPP6/4+MCXWCcnJ0fUL7YITrD/lkOHDtUTTzyh3r17+1znRLZEI7IF0aa8vNx0ubQ0+LOUZGRkBL0NRI5g/riSmpqqSZMm6eGHH/b7ughnthQe260Nf75bMsz7WTTM6hkRpx2+EDI4MPQwAUpLcIX18YpO5GrbvN+YB11u9ZzwmmIT/J8SqevdzyuxofkI9Ue/eF+H/ZwDNlTSEsP7PKH+MgxDc+fONY199NFHMgzD8s/1119fvY3Tp0/rgw8+CPf/DuqgoUOHat26dVq6dKnfMkEKf7ZEK7IF0ebgwYOmy40bh2+1KOqu1NRUTZ06Vfv379e0adNqLZnClS3l5worD8JYYzV1QoPGEXkQxprIlsBQKAQoOyN8LzjDMLTpL+NVUXLWNN72xkm6/Mq+td4vPiVd3cb5NoFfvvGQSs+csH2e/mSl88ZEeHzyySfKzc2tvty0aVP1798/oG2NGjXKdLnmaSgBKy6lSKgSzmyJZmQLosnmzZt18qT5bFtXXnmlQ7NBXXCpRUKVcGSLYRjaOOvnKjxiPpWpKyZWvR+ap6TLW4R8DsEiWwJDoRCgNmF8we392590aod5v/DUZh3U8fbfXfS+V/S8SS36jzGNVe768Es7p+iXS+F9nlC/1TwY44gRIwJePvizn/3MtIvD8uXLdeJEeEo41B1WioQqfGZeHNmCaGIYhh577DHTmNvt1g033ODQjBDNrBYJVcLxmbnz3ad1bIPvis4udz6nzKsC+wNPOJEtgaNQCFBSnEtNw7D7ZuGx3dq+4HHTmMsdo54TXr/kZUNd756pxPSmprGjX/xVhz9baNs8/WmaWvk8AaFWXFysxYsXm8ZGjhwZ8PbS09M1ePDg6ssVFRV6++23A94e6pdAioQq4cqWaEa2IFoUFRVp3LhxWrrUfKrvu+66S5mZmQ7NCtEo0CKhSqiz5diGD7Tzvek+4y0H3KXswQ+G7oFtRLYEjoMyBiE73a2jhaE7savh9Wjjy+PkKTtnGm/30ylKz776krcTn9xQ3cf9j9Y+d4tp/Ms3HlJmxwFKbPgDW+ZbU1YGfRXCY/HixSosLKy+nJ2dbfmLXE0jR440HTshJydHkydPDmqbqBsaNGjgd/xCB1u0ItTZEu3IFjht48aNqqio8HtdcXGxjh8/ri+++ELvvvuu8vLyTNc3a9ZMM2bMCMc0EWX8ZcvFDrZoRaiypfDITm2Yda9U46DY6dm9Iv4gjN9HtgSOQiEIWRkurT548dsFavcHzytvzzrTWIMWnXXVrVMtb6tJj6FqOeAuHfz4/EHrys5+py1zfqk+k0OzUiGbZUMIE3+7OwTr5ptvVlJSkoqLiyVJW7du1ebNm9W9e/egt43oNmzYMD399NM6deqUJPuKhCqhzpZoR7bAaVOmTAnofs2bN9eKFSvUpEkTm2eEuuC+++6rPsW0nUVClVBkS3nxGX0+8zZVnCswjSek/UDXPDxfMXEJ9j5gCJEtgaNQCELbEB7gpODQ19q5+CnTmCsmTj0nvC53bGCnr+ty53M68dVKlZw+Uj12bP0SHVqzQC362X8+bw4uhnA4ePCgVq1aZRqreVDFQCQnJ+umm27SwoXnC7ecnBwKBahVq1baunWrPvroI3Xp0kWdO3e2dfuhzJa6gGxBtElISNA999yjZ599VmlpaU5PBxFq4sSJ6tWrl44cOaIf/ehHtp8WNBTZ8uWbk3X22B6fccPw+qyMttOPnllv+zbJlsBRKAQhO8OlxFipxP+qt4B5K8q18eWx8laUmcbbD3tEDdt0C3i78ckN1f2+WVr77M2m8a1vPqxGnQbauutDYixvTITH3LlzZXxvmV2nTp1s+4I3atQoU6Ewb948Pffcc4qLi7Nl+4heV1xxhS3FlT+hypa6gGxBpIuPj1daWpoaN26sbt26qV+/fho+fLguv/xyp6eGKNC3b+1nbwtWKLLl3Cn/Sx7KCk6qrOCk3+siEdkSHHYWCUJirEvXtbL/Kdz112eUn7vZNNawTXe1v+WRoLfdpNsQtRp4j2ms7Ox32vL6L4Le9vcNaO1WYixvTITe1KlTZRhG9c+2bdts2/awYcNM2z5x4gRlAkIuVNlSF5AtcML+/ftNWXChn9LSUp04cULbtm3T22+/rQkTJlAmICKQLbUjW4LDqypIg9va+xTm527Wrr8+Yxpzx8ZX7uoQY8+Cki53/rcuy2huGju24f90aM18W7Yv2f+8AEB9wmeofzwvABA4PkP943kJjsswahySE5Y9+mG5dp7iaaxyVaZL0wfxV1wACAbZYka2AEDwyBYzsiV41DE2GEKrZTKkHc8HAASLbDEjWwAgeGSLGdkSPJ5BG/Rt4VaD6DkrSkilJUh9mvOyAoBgkS3nkS0AYA+y5TyyxR48gzaIi3FpUBZPpSRdn+VWXAwHNQGAYJEt55EtAGAPsuU8ssUevJpscnOHGKXV87avYWLl8wAAsAfZQrYAgN3IFrLFThQKNklNcOn+XvachSFa3X91rFITaPkAwC5kC9kCAHYjW8gWO1Eo2KhPc7f6t6yfT2n/Vm5dwz5IAGA7sqV+/r8DQCiRLfXz/z0UeCZtNrZn/VtC1DBRGteDJUMAECpkCwDAbmQL7EChYLMG9XAJEUuGACC0yBYAgN3IFtiBQiEE+jR369/qyRKi/i1ZMgQA4UC2AADsRrYgWDyjIXL/1TFqk16326826S6Nv5olQwAQLmQLAMBuZAuCQaEQIsnxLj02IFZNU52eSWg0S5UeHxCr5Pi6/eEDAJGEbAEA2I1sQTAoFEKoYaJLvxsYp0ZJTs/EXo2SpCcGxiktkTclAIQb2QIAsBvZgkBRKIRYZrJL06+PU7M60vg1S5WmXx+nzGTelADgFLIFAGA3sgWBcBmGYTg9ifogv8TQtI8rlJsXvU93VnrlcigaPgCIDGQLAMBuZAusoFAIo6IyQ7M3eLT6oNfpqVjWv6Vb46+OYd8jAIgwZAsAwG5kCy4VhYIDPj/s1SvrK3Sm1OmZXFzDxMrztXKKFQCIbGQLAMBuZAsuhkLBIYWlhl7bGNmtX/9Wbo3rEaPUBNo9AIgGZAsAwG5kCy6EQsFhkdj60e4BQHQjWwAAdiNb4A+FQgQoLDW0ZKdHH+7zqsDBN2hagnR9lls3d6DdA4BoR7YAAOxGtqAmCoUIUu4x9Plhr5bv8WrHqfD9s1yV6dKQdm71ae5WXAxvSACoS8gWAIDdyBZUoVCIUPvzvfr7N159vN+rkgr7t58YKw1o7dbgtm61bsgSIQCoD8gWAIDdyJb6jUIhwpVUGNp7+l8/eYb2nfbqaKFk5R/NJalpqpSV4VZ2ukvZGZU/ibG0egBQH5EtAAC7kS31E4VCFCouN5SbZ2hfnqEzJYbKPFK5VyWWJAAAAAFZSURBVCr3SHExUpxbio+R0hJdykp3qU26S0lxvAkBALUjWwAAdiNb6j4KBQAAAAAAYBk7oQAAAAAAAMsoFAAAAAAAgGUUCgAAAAAAwDIKBQAAAAAAYBmFAgAAAAAAsIxCAQAAAAAAWEahAAAAAAAALKNQAAAAAAAAllEoAAAAAAAAyygUAAAAAACAZRQKAAAAAADAMgoFAAAAAABgGYUCAAAAAACwjEIBAAAAAABYRqEAAAAAAAAso1AAAAAAAACWUSgAAAAAAADLKBQAAAAAAIBlFAoAAAAAAMAyCgUAAAAAAGAZhQIAAAAAALCMQgEAAAAAAFhGoQAAAAAAACyjUAAAAAAAAJZRKAAAAAAAAMsoFAAAAAAAgGUUCgAAAAAAwDIKBQAAAAAAYBmFAgAAAAAAsIxCAQAAAAAAWEahAAAAAAAALKNQAAAAAAAAllEoAAAAAAAAy/4/S6eggNsxMO0AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 1200x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pos = {'X':(-1, 0), 'Y':(0, 0), 'Z':(1, 0)}\n",
    "labels = {(node_i, node_j) : label for node_i, node_j, label in G.edges(data='label', default='')}\n",
    "\n",
    "fig, ax = plt.subplots(1, figsize=(4,1))\n",
    "nx.draw(G, pos, ax=ax, node_color=colors[0])\n",
    "nx.draw_networkx_labels(G, pos, ax=ax)\n",
    "nx.draw_networkx_edge_labels(G, pos, labels, ax=ax)\n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And if we add mode edges, the layout naturally needs to change as well"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "G = nx.DiGraph()\n",
    "G.add_edges_from([\n",
    "    ('U', 'X', {'label':'A'}),\n",
    "    ('U', 'Y', {'label':'C'}),\n",
    "    ('X', 'Y', {'label':'B'})])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 900x660 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pos = {'U': (0, 1), 'X': (-1, 0), 'Y': (1, 0)}\n",
    "labels = {(node_i, node_j) : label for node_i, node_j, label in G.edges(data='label', default='')}\n",
    "\n",
    "fig, ax = plt.subplots(1, figsize=(3,2.2))\n",
    "nx.draw(G, pos, ax=ax, node_color=colors[0])\n",
    "nx.draw_networkx_labels(G, pos, ax=ax)\n",
    "#nx.draw_networkx_edge_labels(G, pos, labels, ax=ax)\n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And yet another example"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "G = nx.DiGraph()\n",
    "G.add_edges_from([\n",
    "    ('X', 'Y'),\n",
    "    ('X', 'W'),\n",
    "    ('W', 'Y'),\n",
    "    ('W', 'Z'),\n",
    "    ('Y', 'T'),\n",
    "    ('Y', 'Z'),\n",
    "    ('Z', 'T')])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x690 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pos = {'X': (-1, 0), 'Y': (0, 0), 'Z': (1, 0), 'W': (0, 1), 'T' : (0.5, -0.5)}\n",
    "\n",
    "fig, ax = plt.subplots(1, figsize=(4,2.3))\n",
    "nx.draw(G, pos, ax=ax, node_color=colors[0])\n",
    "nx.draw_networkx_labels(G, pos, ax=ax)\n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "NetworkX also gives us simple ways to directly ask questions of this DAG"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can get the parents (predecessors) and ancestors of Z"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Parents: ['W', 'Y'] Ancestors: ['W', 'Y', 'X']\n"
     ]
    }
   ],
   "source": [
    "print('Parents:', list(G.predecessors('Z')), 'Ancestors:', list(nx.ancestors(G, 'Z')))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And the children (successors)and decendents of W:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Childrens: ['Y', 'Z'] Descendants: ['Y', 'T', 'Z']\n"
     ]
    }
   ],
   "source": [
    "print('Childrens:', list(G.successors('W')), 'Descendants:', list(nx.descendants(G, 'W')))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can easily find all the directed paths between X and T"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "directed_paths = {tuple(path) for path in nx.all_simple_paths(G, 'X', 'T')}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{('X', 'Y', 'T'), ('X', 'W', 'Y', 'Z', 'T'), ('X', 'Y', 'Z', 'T'), ('X', 'W', 'Z', 'T'), ('X', 'W', 'Y', 'T')}\n"
     ]
    }
   ],
   "source": [
    "print(directed_paths)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And write a helper function to plot them all out on top of our DAG:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_path(G, pos, path, ax=None):\n",
    "    fig = None\n",
    "    \n",
    "    if ax == None:\n",
    "        fig, ax = plt.subplots(1, figsize=(4,2.3))\n",
    "    \n",
    "    edgelist = {(path[i], path[i+1]) for i in range(len(path)-1)}\n",
    "    edges = set(G.edges()) - set(edgelist)\n",
    "    \n",
    "    nx.draw(G, pos, node_color=colors[0], ax=ax, edgelist=[])\n",
    "    nx.draw_networkx_labels(G, pos, ax=ax)\n",
    "    nx.draw_networkx_edges(G, pos,\n",
    "                       edgelist=edgelist,\n",
    "                       width=3, edge_color=colors[1], ax=ax)\n",
    "    nx.draw_networkx_edges(G, pos,\n",
    "                       edgelist=edges,\n",
    "                       width=1, ax=ax)\n",
    "    if fig is not None:\n",
    "        fig.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And easily plot them all side by side"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 2400x2070 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots(3, 2, figsize=(8, 6.9))\n",
    "axs = np.array(axs).flatten()\n",
    "\n",
    "for i, path in enumerate(directed_paths):\n",
    "    plot_path(G, pos, path, axs[i])\n",
    "\n",
    "axs[-1].axis('off')\n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In some cases, we're also interested in all the paths, even if they break the direction of the edges. We can extract them all by converting our __DiGraph__ into a regular __Graph__ before calling __nx.all_simple_paths__"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "all_paths = {tuple(path) for path in nx.all_simple_paths(G.to_undirected(G), 'X', 'T')}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And we see that we find two extra paths"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{('X', 'W', 'Z', 'Y', 'T'), ('X', 'Y', 'W', 'Z', 'T')}\n"
     ]
    }
   ],
   "source": [
    "print(all_paths-directed_paths)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "That we can also visualize"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 2400x690 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots(1, 2, figsize=(8, 2.3))\n",
    "axs = np.array(axs).flatten()\n",
    "\n",
    "new_paths = all_paths-directed_paths\n",
    "\n",
    "for i, path in enumerate(new_paths):\n",
    "    plot_path(G, pos, path, axs[i])\n",
    "\n",
    "axs[-1].axis('off')\n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<div style=\"width: 100%; overflow: hidden;\">\n",
    "     <img src=\"data/D4Sci_logo_full.png\" alt=\"Data For Science, Inc\" align=\"center\" border=\"0\" width=300px> \n",
    "</div>"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
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   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.5"
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  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
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   "skip_h1_title": true,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
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   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": false
  },
  "varInspector": {
   "cols": {
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   "kernels_config": {
    "python": {
     "delete_cmd_postfix": "",
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     "library": "var_list.py",
     "varRefreshCmd": "print(var_dic_list())"
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     "delete_cmd_postfix": ") ",
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   "types_to_exclude": [
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}