{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# [NTDS'17] demo 4: Network models with NetwokX\n", "[ntds'17]: https://github.com/mdeff/ntds_2017\n", "\n", "Hermina Petric Maretic, [EPFL LTS4](http://lts4.epfl.ch)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this session we will get introduced to NetworkX, explore some of the most common network models, look at their basic properties and compare them." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Creating graphs using NetworkX\n", "There are many libraries that deal with creation and manipulation of graph data. We will use NetworkX to create basic network models, as they are already implemented in the library. For a full documentation, consult https://networkx.github.io/documentation/stable/tutorial.html" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "%matplotlib inline\n", "\n", "import random\n", "import matplotlib.pyplot as plt\n", "import networkx as nx\n", "import numpy as np\n", "import warnings\n", "warnings.filterwarnings('ignore')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Create an Erdos Renyi graph with a 100 vertices, and a probability of connecting each pair of vertices equal to 0.15." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": true }, "outputs": [], "source": [ "er=nx.erdos_renyi_graph(100,0.15)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also see the adjacency matrix of the graph, and manipulate the graph as before." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": true }, "outputs": [], "source": [ "er_adj = nx.adjacency_matrix(er,range(100))\n", "er_adj = er_adj.todense()" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "matrix([[0, 0, 0, ..., 0, 0, 1],\n", " [0, 0, 0, ..., 0, 0, 0],\n", " [0, 0, 0, ..., 0, 1, 0],\n", " ..., \n", " [0, 0, 0, ..., 0, 0, 1],\n", " [0, 0, 1, ..., 0, 0, 0],\n", " [1, 0, 0, ..., 1, 0, 0]], dtype=int64)" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "er_adj" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Visualise the matrix:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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HAPyy+fw8AD9W1fPN57MALgvTihBSlcEHX0T+AMDjqrq/+XVH0c7XkYjcICJ7IrJ3cHCQ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\nAuGDT8gC+T/0YKLHEBPn3gAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.spy(er_adj)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "With NetworkX and Matplotlib we can also draw a graph." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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GDRvCxcUFsbGxKCgogEajwdSpU6Gvrw9jY2PMmjULLi4usLGxgZmZGXr37g09PT0YGRkh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\nJ0/Gw4cPodfrkZ6eD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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nx.draw(er)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It's easy to add or remove edges, but also nodes. If we add an edge between nodes that don't yet exist, they will be automatically created." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": true }, "outputs": [], "source": [ "er.add_node(100)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[0,\n", " 1,\n", " 2,\n", " 3,\n", " 4,\n", " 5,\n", " 6,\n", " 7,\n", " 8,\n", " 9,\n", " 10,\n", " 11,\n", " 12,\n", " 13,\n", " 14,\n", " 15,\n", " 16,\n", " 17,\n", " 18,\n", " 19,\n", " 20,\n", " 21,\n", " 22,\n", " 23,\n", " 24,\n", " 25,\n", " 26,\n", " 27,\n", " 28,\n", " 29,\n", " 30,\n", " 31,\n", " 32,\n", " 33,\n", " 34,\n", " 35,\n", " 36,\n", " 37,\n", " 38,\n", " 39,\n", " 40,\n", " 41,\n", " 42,\n", " 43,\n", " 44,\n", " 45,\n", " 46,\n", " 47,\n", " 48,\n", " 49,\n", " 50,\n", " 51,\n", " 52,\n", " 53,\n", " 54,\n", " 55,\n", " 56,\n", " 57,\n", " 58,\n", " 59,\n", " 60,\n", " 61,\n", " 62,\n", " 63,\n", " 64,\n", " 65,\n", " 66,\n", " 67,\n", " 68,\n", " 69,\n", " 70,\n", " 71,\n", " 72,\n", " 73,\n", " 74,\n", " 75,\n", " 76,\n", " 77,\n", " 78,\n", " 79,\n", " 80,\n", " 81,\n", " 82,\n", " 83,\n", " 84,\n", " 85,\n", " 86,\n", " 87,\n", " 88,\n", " 89,\n", " 90,\n", " 91,\n", " 92,\n", " 93,\n", " 94,\n", " 95,\n", " 96,\n", " 97,\n", " 98,\n", " 99,\n", " 100]" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "er.nodes()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Similarly, you can add and remove a collection of nodes or edges, and add and remove one node or edge:\n", "* Adding nodes with:\n", " - **G.add_node** : One node at a time\n", " - **G.add_nodes_from** : A container of nodes\n", "* Adding edges with:\n", " - **G.add_edge**: One edge at a time\n", " - **G.add_edges_from** : A container of edges\n", " \n", " \n", "* Removing nodes with:\n", " - **G.remove_node** : One node at a time\n", " - **G.remove_nodes_from** : A container of nodes\n", "* Removing edges with:\n", " - **G.remove_edge**: One edge at a time\n", " - **G.remove_edges_from** : A container of edges\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Add an edge between two non-existant vertices. Remove all nodes up to node 50. Draw the graph after each change." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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PBNi4bRsdIlAeH/B6ly4cbNUKmT+fcePG4XA4+GLRIp7ety9ieY+DhsFqj4d9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\ntBRlZWUwGo2w2+0oKyuD1+tF8+bNUVlZiXbt2iE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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "er.add_edge(101,102)\n", "nx.draw(er)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[50,\n", " 51,\n", " 52,\n", " 53,\n", " 54,\n", " 55,\n", " 56,\n", " 57,\n", " 58,\n", " 59,\n", " 60,\n", " 61,\n", " 62,\n", " 63,\n", " 64,\n", " 65,\n", " 66,\n", " 67,\n", " 68,\n", " 69,\n", " 70,\n", " 71,\n", " 72,\n", " 73,\n", " 74,\n", " 75,\n", " 76,\n", " 77,\n", " 78,\n", " 79,\n", " 80,\n", " 81,\n", " 82,\n", " 83,\n", " 84,\n", " 85,\n", " 86,\n", " 87,\n", " 88,\n", " 89,\n", " 90,\n", " 91,\n", " 92,\n", " 93,\n", " 94,\n", " 95,\n", " 96,\n", " 97,\n", " 98,\n", " 99,\n", " 100,\n", " 101,\n", " 102]" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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rK6sKDadRxrx584r0TpbL5Rg+fDh8fHxw584dNGvWDL169VLpwzUzMxNPP/1U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\nkhGC1zPKIOoAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "er.remove_nodes_from(range(50))\n", "nx.draw(er)\n", "er.nodes()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Try creating some other known graph models. Create a Barabasi-Albert graph and a Watts-Strogatz graph. Plot them." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "image/png": 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v3j1ydnamKlWqkKurK0kkEnJyciKRSERCoZCuXLlClSpVIjc3N+I4jjIzMyk7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\n/5Zm7JHxnbnlAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ba=nx.barabasi_albert_graph(100,5)\n", "nx.draw(ba)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "image/png": 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KCqOjo9mgQQMmJCSof+yqQJ+SqoaQjqzmCANrbHTvLtkLkSOTsa25ObOysso+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\nXlycPL1Y3q5jNJ1OR/fccw/9+OOPdX6WnJxMiYmJJh8zPT2d/Pz86Pj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WZlybbG0LlUg3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\nDP4fUlgP94fSqwEAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ws=nx.watts_strogatz_graph(100,4,0.001)\n", "nx.draw(ws)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Network properties with NetworkX" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**G.degree()** returns a dictionary of node degrees. If we specify a node, **G.degree()** will return the degree of that node." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot a histogram of node degrees. Compare degree distributions of our random networks. Try fitting a Poisson distribution. You can check the number of edges with **G.size()**." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Erdos-Renyi network:" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": true }, "outputs": [], "source": [ "er=nx.erdos_renyi_graph(100,0.15)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def poisson(mu,k):\n", " return np.exp(-mu) * mu**k * (np.math.factorial(k)**-1)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "740" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "er.size()" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "d = er.degree().values()\n", "plt.hist(list(d), bins = 20);\n", "mu = 2*er.size()/100;\n", "k = np.linspace(1,25,25);\n", "deg = [100*poisson(mu,i) for i in k]\n", "plt.plot(k, deg);\n", "plt.ylabel(\"Number of vertices\")\n", "plt.xlabel(\"Degree\")\n", "plt.title(\"Erdos Renyi degree distribution\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Barabasi-Albert network:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "475" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "ba.size()" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "image/png": 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7GCxalG88ZtYl3DTUlebM4Nu1k5jYtAUzGJx3NOWx/Oqww2nwyr3wnz/lHY2Z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\nkc7SvgAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "d = ba.degree().values()\n", "plt.hist(list(d), bins = 20);\n", "mu = 2*ba.size()/100;\n", "k = np.linspace(1,45,45);\n", "deg = [100*poisson(mu,i) for i in k]\n", "plt.plot(k, deg);\n", "plt.ylabel(\"Number of vertices\")\n", "plt.xlabel(\"Degree\")\n", "plt.title(\"Barabasi-Albert degree distribution\")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Watts-Strogatz graph:" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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ASd30FuAAcOYM69o6NP0zwN31nZs/X+zq29xNnzKrurp1ZzC4eZVZ9NeyY7+ClW8uznx8\njVjXzMfXiHXNfHyNUtd6jC/g+cD3DE3/E3DBsjYX8dSbsZ+aVn9t5P9KcCuwO4P/yORZDH7Ibk/y\nDmCxqm4DbgD+PMlBBmdalwNU1b1JbgHuA54Erqqnflybdl3vBF4A/OXg3h0PVdUlwEuB9yX5Vrft\ntVV13wzrelOSSxj0yWMMfkuCqnosye8xeE4RwDuq6rEZ1gWDm2Q3VTfSO9PsrxVtgPE1Sl3rMb5G\nqWs9xtcodcHsx9epwEe7v59NwIer6hNJfgWgqt7L4OkBFzK4mf814A3duon3l9+MlaTGfVdco5ck\njc+gl6TGGfSS1DiDXpIaZ9BLUuMMeklqnEEvSY0z6CWpcf8PlDhvtLBO8doAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "d = ws.degree().values()\n", "plt.hist(list(d), bins = 20);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Why does the distribution look like this? Create a WS model with the same number of edges, but a more \"dynamic\" distribution." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ws_new = nx.watts_strogatz_graph(100,4,0.8)\n", "d = ws_new.degree().values()\n", "plt.hist(list(d), bins = 20);" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "200\n", "200\n" ] } ], "source": [ "print(ws.size())\n", "print(ws_new.size())" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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xY8YMlC9fHv/88w/OnTsHCwsLTJo0qUSX5yekUikWODggS0urxIEIx+MhR0cH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\nYRhGC/4fqAS+VK4oY20AAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nx.draw(ws_new)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Random manifold-based network" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also create a graph on our own. This sort of manifold-based graph is often used in practice when we need a graph representation of data laying on a manifold. Generate 100 two-dimensional data points, both values between 0 and 1. They should come from a uniform random distribution. These will be the coordinates of your nodes. Connect the nodes if their Euclidian distance is smaller than the threshold 0.2. In that case, the weight of the edge should be equal to $w(i,j) = \\exp \\left(-{\\frac {dist(i,j)^{2}}{2\\theta ^{2}}}\\right)$. For this experiment, set $\\theta$ to 0.9. " ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": true }, "outputs": [], "source": [ "def random_gaussian(nodes, theta, threshold):\n", " adj = np.zeros((len(nodes),len(nodes)))\n", " for i in range(len(nodes)):\n", " for j in range(i+1, len(nodes)):\n", " arr = np.linalg.norm(nodes[i]-nodes[j])\n", " if (arr" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.spy(adj)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "collapsed": true }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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qbqmMuTwwF4+LfXxCSDTcZdeD1Mtwl3SFM/d9F1PuXHCJU3BN60Lq57MrxsTCJh+o+IRU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\nCBs+IRXy/0VLXCNVhmoAAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "g = nx.from_numpy_matrix(adj)\n", "plt.spy(nx.adjacency_matrix(g).todense())" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [], "source": [ "pos = dict(zip(range(100),nodes))" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "image/png": 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2adKEjRs35rVr13j27Fl27dqV7u7u/Oyzz4oktOHh4axbt26ufcePH6e7uzuT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\n5zLQnP/PhCIAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "nx.draw(g,pos)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plot a degree distribution of this graph. What can you say about the distribution?" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "d = g.degree().values()\n", "plt.hist(list(d), bins = 20);" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.2" } }, "nbformat": 4, "nbformat_minor": 2 }