{ "metadata": { "name": "", "signature": "sha256:aee3faa29a2d66fc7b168fe14e86c87fc07a7082910a02fe86b70368f86c6875" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "This is a little set of examples of networkx.\n", "Very very few changes were made from the examples provided by the authors \n", "in https://github.com/networkx/networkx/tree/master/examples\n", "\n", "Therefore please consider all this code:\n", "# Copyright (C) 2004-2010 by \n", "# Aric Hagberg \n", "# Dan Schult \n", "# Pieter Swart \n", "# All rights reserved.\n", "# BSD license.\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You'll need networkx for this" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import networkx as nx" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 30 }, { "cell_type": "markdown", "metadata": {}, "source": [ "and of course matplotlib for plotting!!" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import matplotlib.pyplot as plt" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 31 }, { "cell_type": "code", "collapsed": false, "input": [ "# define G as the \"path graph\" w/8 nodes\n", "G=nx.path_graph(8)\n", "\n", "# 3 commands needed to draw/plot/save\n", "nx.draw(G)\n", "#plt.savefig(\"simple_path.png\") # save as png\n", "plt.show() # display" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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hKEhl/Pw0okoVNX/7bf3jyhX95dVXKV4ALmXLli1q5uurckU4R1xWltavWuWw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\n", "text": [ "" ] } ], "prompt_number": 32 }, { "cell_type": "code", "collapsed": false, "input": [ "# note that networkx handles *really* simple file input \n", "!rm simple.txt\n", "!touch simple.txt\n", "!echo \"0 1\" >> simple.txt\n", "!echo \"1 2\" >> simple.txt\n", "!echo \"2 0\" >> simple.txt\n", "!cat simple.txt\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "0 1\r\n", "1 2\r\n", "2 0\r\n" ] } ], "prompt_number": 33 }, { "cell_type": "code", "collapsed": false, "input": [ "G = nx.read_edgelist('simple.txt', create_using= nx.DiGraph())\n", "nx.draw(G)\n", "plt.show() # display" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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79+7V5s2bTUdxef/5z3/UuXNnTZ48WY8//rjpOIDDo3xht7y8vDR16lRFRUUp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\nYII=\n", "text": [ "" ] } ], "prompt_number": 34 }, { "cell_type": "code", "collapsed": false, "input": [ "print(\"radius: %d\" % nx.radius(G))\n", "print(\"diameter: %d\" % nx.diameter(G))\n", "print(\"eccentricity: %s\" % nx.eccentricity(G))\n", "print(\"center: %s\" % nx.center(G))\n", "print(\"periphery: %s\" % nx.periphery(G))\n", "print(\"density: %s\" % nx.density(G))\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "radius: 2\n", "diameter: 2\n", "eccentricity: {u'1': 2, u'0': 2, u'2': 2}\n", "center: [u'1', u'0', u'2']\n", "periphery: [u'1', u'0', u'2']\n", "density: 0.5\n" ] } ], "prompt_number": 35 }, { "cell_type": "code", "collapsed": false, "input": [ "# one of the most famous graphs is the 34-node \"karate club\" graph\n", "G=nx.karate_club_graph()\n", "print(\"Node Degree\")\n", "for v in G:\n", " print('%s %s' % (v,G.degree(v)))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "Node Degree\n", "0 16\n", "1 9\n", "2 10\n", "3 6\n", "4 3\n", "5 4\n", "6 4\n", "7 4\n", "8 5\n", "9 2\n", "10 3\n", "11 1\n", "12 2\n", "13 5\n", "14 2\n", "15 2\n", "16 2\n", "17 2\n", "18 2\n", "19 3\n", "20 2\n", "21 2\n", "22 2\n", "23 5\n", "24 3\n", "25 3\n", "26 2\n", "27 4\n", "28 3\n", "29 4\n", "30 4\n", "31 6\n", "32 12\n", "33 17\n" ] } ], "prompt_number": 36 }, { "cell_type": "code", "collapsed": false, "input": [ "# here's an example of coloring\n", "pos=nx.spring_layout(G)\n", "nx.draw(G,pos,node_color=range(34),node_size=800,cmap=plt.cm.Blues)\n", "plt.savefig(\"node_colormap.png\") # save as png\n", "plt.show() # display" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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MDFBJ9VCVcaBol6nomhTIcaz8lRpSfvAqnp0/yGPf3C2nint+n9q1a+cqhpAz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\nz8+ScnQqitfPP7sN+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Lhxg6SkJHR0dDAzM8PR0RE9Pb3/emiCIHynRPgKgiAIgoaJrUaC\nIAiCoGEifAVBEARBw0T4CoIgCIKGifAVBEEQBA0T4SsIgiAIGibCVxAEQRA0TISvIAiCIGiYCF9B\nEARB0DARvoIgCIKgYSJ8BUEQBEHDRPgKgiAIgoaJ8BUEQRAEDRPhKwiCIAgaJsJXEARBEDRMhK8g\nCIIgaJgIX0EQBEHQMBG+giAIgqBhInwFQRAEQcNE+AqCIAiChonwFQRBEAQNE+ErCIIgCBomwlcQ\nBEEQNEyEryAIgiBomAhfQRAEQdAwEb6CIAiCoGEifAVBEARBw0T4CoIgCIKGifAVBEEQBA0T4SsI\ngiAIGibCVxAEQRA0TISvIAiCIGiYCF9BEARB0DARvoIgCIKgYSJ8BUEQBEHDRPgKgiAIgoaJ8BUE\nQRAEDRPhKwiCIAgaJsJXEARBEDRMhK8gCIIgaJgIX0EQBEHQMBG+giAIgqBhInwFQRAEQcNE+AqC\nIAiChonwFQRBEAQNE+ErCIIgCBomwlcQBEEQNOz/AOWti338PTtSAAAAAElFTkSuQmCC\n", "text": [ "" ] } ], "prompt_number": 37 }, { "cell_type": "markdown", "metadata": {}, "source": [ "note: it's random! try again and again for new results. :) or :(" ] }, { "cell_type": "code", "collapsed": false, "input": [ "print(\"radius: %d\" % nx.radius(G))\n", "print(\"diameter: %d\" % nx.diameter(G))\n", "print(\"eccentricity: %s\" % nx.eccentricity(G))\n", "print(\"center: %s\" % nx.center(G))\n", "print(\"periphery: %s\" % nx.periphery(G))\n", "print(\"density: %s\" % nx.density(G))\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "radius: 3\n", "diameter: 5\n", "eccentricity: {0: 3, 1: 3, 2: 3, 3: 3, 4: 4, 5: 4, 6: 4, 7: 4, 8: 3, 9: 4, 10: 4, 11: 4, 12: 4, 13: 3, 14: 5, 15: 5, 16: 5, 17: 4, 18: 5, 19: 3, 20: 5, 21: 4, 22: 5, 23: 5, 24: 4, 25: 4, 26: 5, 27: 4, 28: 4, 29: 5, 30: 4, 31: 3, 32: 4, 33: 4}\n", "center: [0, 1, 2, 3, 8, 13, 19, 31]\n", "periphery: [14, 15, 16, 18, 20, 22, 23, 26, 29]\n", "density: 0.139037433155\n" ] } ], "prompt_number": 38 }, { "cell_type": "code", "collapsed": false, "input": [ "# let's try this for a 20-node star graph\n", "G=nx.star_graph(20) \n", "pos=nx.spring_layout(G)\n", "colors=range(20) \n", "nx.draw(G,pos,node_color='#A0CBE2',edge_color=colors,width=4,edge_cmap=plt.cm.Blues,with_labels=False)\n", "plt.savefig(\"edge_colormap.png\") # save as png\n", "plt.show() # display" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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w7lwq/slyPinKADC2cwBmPBIGIbdptMQDgLwiE57bcsOhyMWoTgF4d0x7t42h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\nnjuJn5cuRHH8EAx69y9M/HwfbuSqXDhSUl9R8CUuxbIsUvPVWHXiFv6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"text": [ "" ] } ], "prompt_number": 39 }, { "cell_type": "code", "collapsed": false, "input": [ "for v in G:\n", " print('%s %s' % (v,G.degree(v)))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "0 20\n", "1 1\n", "2 1\n", "3 1\n", "4 1\n", "5 1\n", "6 1\n", "7 1\n", "8 1\n", "9 1\n", "10 1\n", "11 1\n", "12 1\n", "13 1\n", "14 1\n", "15 1\n", "16 1\n", "17 1\n", "18 1\n", "19 1\n", "20 1\n" ] } ], "prompt_number": 40 }, { "cell_type": "code", "collapsed": false, "input": [ "print(\"radius: %d\" % nx.radius(G))\n", "print(\"diameter: %d\" % nx.diameter(G))\n", "print(\"eccentricity: %s\" % nx.eccentricity(G))\n", "print(\"center: %s\" % nx.center(G))\n", "print(\"periphery: %s\" % nx.periphery(G))\n", "print(\"density: %s\" % nx.density(G))" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "radius: 1\n", "diameter: 2\n", "eccentricity: {0: 1, 1: 2, 2: 2, 3: 2, 4: 2, 5: 2, 6: 2, 7: 2, 8: 2, 9: 2, 10: 2, 11: 2, 12: 2, 13: 2, 14: 2, 15: 2, 16: 2, 17: 2, 18: 2, 19: 2, 20: 2}\n", "center: [0]\n", "periphery: [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20]\n", "density: 0.0952380952381\n" ] } ], "prompt_number": 41 }, { "cell_type": "code", "collapsed": false, "input": [ "# here's an example of networkx syntax for file i/o:\n", "from networkx import *\n", "import sys\n", "G=grid_2d_graph(5,5) # 5x5 grid\n", "\n", "\n", "\n", "try: # Python 2.6+\n", " write_adjlist(G,sys.stdout) # write adjacency list to screen\n", "except TypeError: # Python 3.x\n", " write_adjlist(G,sys.stdout.buffer) # write adjacency list to screen\n", "# write edgelist to grid.edgelist\n", "write_edgelist(G,path=\"grid.edgelist\",delimiter=\":\") \n", "# read edgelist from grid.edgelist\n", "H=read_edgelist(path=\"grid.edgelist\",delimiter=\":\") \n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "#-c -f /Users/wiggins/.ipython/profile_default/security/kernel-b51c077d-2bc7-4165-a6ee-f2b4b37469d3.json --pylab inline --IPKernelApp.parent_appname='ipython-notebook' --profile-dir /Users/wiggins/.ipython/profile_default --parent=1\n", "# GMT Mon Aug 25 15:41:03 2014\n", "# grid_2d_graph\n", "(1, 3) (1, 2) (0, 3) (2, 3) (1, 4)\n", "(3, 0) (2, 0) (3, 1) (4, 0)\n", "(2, 1) (2, 0) (3, 1) (1, 1) (2, 2)\n", "(0, 3) (0, 2) (0, 4)\n", "(4, 0) (4, 1)\n", "(1, 2) (1, 1) (0, 2) (2, 2)\n", "(3, 3) (3, 4) (3, 2) (2, 3) (4, 3)\n", "(4, 4) (3, 4) (4, 3)\n", "(2, 2) (3, 2) (2, 3)\n", "(4, 1) (4, 2) (3, 1)\n", "(1, 1) (0, 1) (1, 0)\n", "(3, 2) (4, 2) (3, 1)\n", "(0, 0) (0, 1) (1, 0)\n", "(0, 4) (1, 4)\n", "(1, 4) (2, 4)\n", "(2, 3) (2, 4)\n", "(4, 2) (4, 3)\n", "(1, 0) (2, 0)\n", "(0, 1) (0, 2)\n", "(3, 1)\n", "(2, 4) (3, 4)\n", "(2, 0)\n", "(4, 3)\n", "(3, 4)\n", "(0, 2)\n" ] } ], "prompt_number": 42 }, { "cell_type": "code", "collapsed": false, "input": [ "# ok now something cool: an overlay of graph and its degree rank plot\n", "G = nx.gnp_random_graph(100,0.02)\n", "\n", "degree_sequence=sorted(nx.degree(G).values(),reverse=True) # degree sequence\n", "#print \"Degree sequence\", degree_sequence\n", "dmax=max(degree_sequence)\n", "\n", "plt.loglog(degree_sequence,'b-',marker='o')\n", "plt.title(\"Degree rank plot\")\n", "plt.ylabel(\"degree\")\n", "plt.xlabel(\"rank\")\n", "\n", "# draw graph in inset \n", "plt.axes([0.45,0.45,0.45,0.45])\n", "Gcc=sorted(nx.connected_component_subgraphs(G), key = len, reverse=True)[0]\n", "pos=nx.spring_layout(Gcc)\n", "plt.axis('off')\n", "nx.draw_networkx_nodes(Gcc,pos,node_size=20)\n", "nx.draw_networkx_edges(Gcc,pos,alpha=0.4)\n", "\n", "plt.savefig(\"degree_rank_plot.png\")\n", "plt.show()\n", "\n" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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7dt02j1wuJyQkhGPHjtWaCw+lUklISAj79++vF25Dzp49i42NjdUdClaV1q1b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\nja/yqYl6q1tmVfLfnOf0aSNTp9b886s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"text": [ "" ] } ], "prompt_number": 43 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally an example of 'real world' data. Here I reproduce the example python in full, with credit and Copyright. " ] }, { "cell_type": "code", "collapsed": false, "input": [ "#!/usr/bin/env python\n", "\"\"\"\n", "Load football network in GML format and compute some network statistcs.\n", "\n", "Shows how to download GML graph in a zipped file, unpack it, and load\n", "into a NetworkX graph.\n", "\n", "Requires Internet connection to download the URL\n", "http://www-personal.umich.edu/~mejn/netdata/football.zip\n", "\n", "\"\"\"\n", "__author__ = \"\"\"Aric Hagberg (hagberg@lanl.gov)\"\"\"\n", "# Copyright (C) 2007 by \n", "# Aric Hagberg \n", "# Dan Schult \n", "# Pieter Swart \n", "# All rights reserved.\n", "# BSD license.\n", "\n", "try:\n", " import pyparsing\n", "except ImportError as e:\n", " raise ImportError(str(e)+\". Check http://pyparsing.wikispaces.com/\")\n", " \n", "from networkx import *\n", "\n", "url=\"http://www-personal.umich.edu/~mejn/netdata/football.zip\"\n", "\n", "try: # Python 3.x\n", " import urllib.request as urllib\n", "except ImportError: # Python 2.x\n", " import urllib\n", "import io\n", "import zipfile\n", "\n", "sock = urllib.urlopen(url) # open URL\n", "s=io.BytesIO(sock.read()) # read into BytesIO \"file\"\n", "sock.close()\n", "\n", "zf = zipfile.ZipFile(s) # zipfile object\n", "txt=zf.read('football.txt').decode() # read info file\n", "gml=zf.read('football.gml').decode() # read gml data\n", "# throw away bogus first line with # from mejn files\n", "gml=gml.split('\\n')[1:]\n", "G=parse_gml(gml) # parse gml data\n", "\n", "print(txt)\n", "# print degree for each team - number of games\n", "for n,d in G.degree_iter():\n", " print('%s %d' % (n, d))\n" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "The file football.gml contains the network of American football games\n", "between Division IA colleges during regular season Fall 2000, as compiled\n", "by M. Girvan and M. Newman. The nodes have values that indicate to which\n", "conferences they belong. The values are as follows:\n", "\n", " 0 = Atlantic Coast\n", " 1 = Big East\n", " 2 = Big Ten\n", " 3 = Big Twelve\n", " 4 = Conference USA\n", " 5 = Independents\n", " 6 = Mid-American\n", " 7 = Mountain West\n", " 8 = Pacific Ten\n", " 9 = Southeastern\n", " 10 = Sun Belt\n", " 11 = Western Athletic\n", "\n", "If you make use of these data, please cite M. Girvan and M. E. J. Newman,\n", "Community structure in social and biological networks,\n", "Proc. Natl. Acad. Sci. USA 99, 7821-7826 (2002).\n", "\n", "Mississippi 11\n", "OregonState 10\n", "NotreDame 11\n", "Wyoming 11\n", "Minnesota 11\n", "Illinois 11\n", "Kent 10\n", "Toledo 9\n", "Indiana 11\n", "Clemson 10\n", "Texas 11\n", "BostonCollege 11\n", "MississippiState 11\n", "Tulsa 12\n", "Kansas 10\n", "SouthernMethodist 12\n", "Connecticut 7\n", "Tulane 11\n", "Duke 11\n", "Missouri 10\n", "TexasChristian 11\n", "LouisianaState 10\n", "CentralFlorida 8\n", "Cincinnati 11\n", "Washington 11\n", "OklahomaState 10\n", "Marshall 11\n", "IowaState 11\n", "Army 11\n", "LouisianaTech 10\n", "AlabamaBirmingham 10\n", "MiamiOhio 11\n", "MiddleTennesseeState 9\n", "Maryland 11\n", "Rice 11\n", "SanJoseState 11\n", "NorthCarolinaState 11\n", "Arizona 11\n", "Wisconsin 12\n", "Pittsburgh 11\n", "Michigan 11\n", "Purdue 11\n", "Oregon 11\n", "Syracuse 11\n", "SouthernCalifornia 12\n", "Northwestern 11\n", "SanDiegoState 11\n", "Florida 11\n", "BowlingGreenState 11\n", "NewMexicoState 11\n", "Baylor 10\n", "MichiganState 11\n", "Ohio 10\n", "Buffalo 11\n", "SouthernMississippi 10\n", "WashingtonState 11\n", "BoiseState 9\n", "WakeForest 10\n", "NorthernIllinois 10\n", "KansasState 13\n", "WesternMichigan 11\n", "Navy 11\n", "VirginiaTech 11\n", "UtahState 9\n", "Oklahoma 12\n", "GeorgiaTech 11\n", "Louisville 10\n", "Arkansas 10\n", "Temple 11\n", "BallState 10\n", "Vanderbilt 11\n", "LouisianaLafayette 8\n", "California 11\n", "ColoradoState 10\n", "Akron 11\n", "FresnoState 11\n", "Georgia 10\n", "TexasA&M 11\n", "FloridaState 12\n", "Rutgers 10\n", "NevadaLasVegas 12\n", "PennState 12\n", "LouisianaMonroe 8\n", "Colorado 11\n", "ArizonaState 11\n", "Memphis 11\n", "BrighamYoung 12\n", "UCLA 11\n", "Auburn 11\n", "Nevada 12\n", "ArkansasState 10\n", "EasternMichigan 11\n", "SouthCarolina 11\n", "MiamiFlorida 10\n", "Idaho 9\n", "OhioState 11\n", "Utah 11\n", "Virginia 10\n", "TexasElPaso 11\n", "TexasTech 12\n", "NewMexico 11\n", "CentralMichigan 11\n", "Stanford 11\n", "EastCarolina 11\n", "NorthCarolina 11\n", "Hawaii 11\n", "Kentucky 10\n", "Nebraska 11\n", "WestVirginia 11\n", "Iowa 12\n", "Alabama 11\n", "Houston 11\n", "NorthTexas 10\n", "AirForce 10\n", "Tennessee 11\n" ] } ], "prompt_number": 104 } ], "metadata": {} } ] }