Created
January 6, 2014 23:24
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IPython Notebook created to help with the following question: https://groups.google.com/forum/#!topic/networkx-discuss/jTH5qaoVu6w
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{ | |
"metadata": { | |
"name": "" | |
}, | |
"nbformat": 3, | |
"nbformat_minor": 0, | |
"worksheets": [ | |
{ | |
"cells": [ | |
{ | |
"cell_type": "heading", | |
"level": 1, | |
"metadata": {}, | |
"source": [ | |
"Cascading Network Failure" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"I assume that you're trying to recreate results as described in [Buldyrev et al. (2010)](http://www.nature.com/nature/journal/v464/n7291/full/nature08932.html)." | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"import sys\n", | |
"\n", | |
"import networkx as nx\n", | |
"\n", | |
"from random import choice, seed" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 1 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"seed(0)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 2 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"%matplotlib inline\n", | |
"import matplotlib.pyplot as plt" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 3 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"########################## POPULATION ##########################\n", | |
"\n", | |
"m = 7 #numbers of nodes network 1\n", | |
"k = 0.3 # p network 1\n", | |
"n = 7 #numbers of nodes network 2\n", | |
"l = 0.3 # p network 2" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 4 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"# type of network\n", | |
"\n", | |
"net_g = nx.erdos_renyi_graph(m,k) #ER network 1\n", | |
"net_h = nx.erdos_renyi_graph(n,l) #ER network 2" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 5 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"# rename nodes in network in peraration for a joint network\n", | |
"net_a = nx.Graph()\n", | |
"for x in net_g.nodes_iter():\n", | |
" net_a.add_node(\"A%d\" % x)\n", | |
"for (u, v) in net_g.edges_iter():\n", | |
" net_a.add_edge(\"A%d\" % u, \"A%d\" % v)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 6 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"net_b = nx.Graph()\n", | |
"for x in net_h.nodes_iter():\n", | |
" net_b.add_node(\"B%d\" % x)\n", | |
"for (u, v) in net_h.edges_iter():\n", | |
" net_b.add_edge(\"B%d\" % u, \"B%d\" % v)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 7 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"pos_a = nx.spring_layout(net_a)\n", | |
"pos_b = nx.spring_layout(net_b)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 8 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"nx.draw(net_a, pos=pos_a)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "display_data", | |
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CORxY9O3aa681lEuSJElHwWAuVUMPPfQQf//730lISGDixIlccsklR3T9rl27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\nMP96kolJdurk3n2TnFY7vvzyyze3fABgEwnmANBLTZ06NUl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| |
"text": [ | |
"<matplotlib.figure.Figure at 0xb02890c>" | |
] | |
} | |
], | |
"prompt_number": 9 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"nx.draw(net_b, pos=pos_b)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "display_data", | |
"png": 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SQdjuAxyQdH8R8A6QD7wJzAQ2xP/WtGlTbr/9dqLRKI0aOTYolWUwlyRJkrRb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\nRU5ErkJggg==\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0xb0a1fcc>" | |
] | |
} | |
], | |
"prompt_number": 10 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"########################## CONNECTION #########################\n", | |
"\n", | |
"connections = 5 #how many connections among G & H" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 11 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"def add_connections(network1, network2, number_connections):\n", | |
" \"\"\"Add a number of connections between network1 and network2 involving only unique nodes.\"\"\"\n", | |
" nodes_a = network1.nodes()\n", | |
" nodes_b = network2.nodes()\n", | |
" assert len(nodes_a) >= number_connections\n", | |
" assert len(nodes_b) >= number_connections\n", | |
" a = list()\n", | |
" b = list()\n", | |
" for i in range(number_connections):\n", | |
" # we randomly select an index from the list of nodes\n", | |
" # then remove that element and add it to our list\n", | |
" a.append(nodes_a.pop(choice(range(len(nodes_a)))))\n", | |
" b.append(nodes_b.pop(choice(range(len(nodes_b)))))\n", | |
" return (a, b)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 12 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"(con_a, con_b) = add_connections(net_a, net_b, connections)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 13 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"joint_edges = zip(con_a, con_b)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 14 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"nodes_a = sorted(net_a.nodes())\n", | |
"nodes_b = sorted(net_b.nodes())" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 15 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"# create the connecting network\n", | |
"joint_net = nx.Graph()\n", | |
"joint_net.add_nodes_from(nodes_a)\n", | |
"joint_net.add_nodes_from(nodes_b)\n", | |
"joint_net.add_edges_from(joint_edges)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 16 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"# we choose a line-up for the node positions\n", | |
"joint_pos = dict()\n", | |
"for (i, node) in enumerate(nodes_a):\n", | |
" joint_pos[node] = (0, i)\n", | |
"for (i, node) in enumerate(nodes_b):\n", | |
" joint_pos[node] = (1, i)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 17 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"def draw_joint_networks(net_1, net_2, joint_network, positions):\n", | |
" axes = plt.subplot(111)\n", | |
" nx.draw_networkx_nodes(joint_network, pos=positions, nodelist=net_1.nodes(), node_color=\"red\", ax=axes)\n", | |
" nx.draw_networkx_nodes(joint_network, pos=positions, nodelist=net_2.nodes(), node_color=\"blue\", ax=axes)\n", | |
" nx.draw_networkx_labels(joint_network, pos=positions)\n", | |
" nx.draw_networkx_edges(joint_network, pos=positions, arrows=False, edgelist=joint_network.edges(), edge_color=\"green\", ax=axes)\n", | |
" # don't know how to draw arcs, so drawing straight lines for A or B is a bit misleading\n", | |
" nx.draw_networkx_edges(joint_network, pos=positions, arrows=False, edgelist=net_1.edges(), edge_color=\"red\", ax=axes)\n", | |
" nx.draw_networkx_edges(joint_network, pos=positions, arrows=False, edgelist=net_2.edges(), edge_color=\"blue\", ax=axes)\n", | |
" plt.show()" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 18 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"draw_joint_networks(net_a, net_b, joint_net, joint_pos)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "display_data", | |
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HdzjOM5yrY/g85lJgO3MmP3PmTB/fkQRTUAOEUaNGAWCz2QKmEbU/d+TIkV7tr7W1tdsf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m5hSuoUggJ0WhIR8Td9E4uISKeobaxlzd412LJsvL/vfRqaGgAIMAUwNXUqVrOVH4z+AVEhUX7u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\nhR3OlepAPisAAAAASUVORK5CYII=\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0xb990b6c>" | |
] | |
} | |
], | |
"prompt_number": 19 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"# ATTACK\n", | |
"attack = choice(nodes_a)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 20 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"def failure_cascade(node, net_1, net_2, joint_network):\n", | |
" neighbours = net_1.neighbors(node)\n", | |
" for nbr in neighbours:\n", | |
" net_1.remove_edge(node, nbr)\n", | |
" neighbours = joint_network.neighbors(node)\n", | |
" net_1.remove_node(node)\n", | |
" joint_network.remove_node(node)\n", | |
" for nbr in neighbours:\n", | |
" # reversed networks\n", | |
" failure_cascade(nbr, net_2, net_1, joint_network)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 23 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"failure_cascade(attack, net_a, net_b, joint_net)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 24 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"nx.draw(net_a, pos=pos_a)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "display_data", | |
"png": 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Hbr8PTJIkKV6OOuooXnnlFZ4heFzZ8ujxqvbpjQZ+B6wF5hA8Rg3gNwTB+1bg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\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0xb8e8e4c>" | |
] | |
} | |
], | |
"prompt_number": 25 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"nx.draw(net_b, pos=pos_b)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "display_data", | |
"png": 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McXW5vwzgUILR6kkEe1435/vuB64CcoB9CN6x3oMgiJ8PvAJMY0ewBniMIFif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\nAAAABQnXAAAAUJBwDQAAAAX9f7gdoo99r6xZAAAAAElFTkSuQmCC\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0xb815b4c>" | |
] | |
} | |
], | |
"prompt_number": 26 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": [ | |
"draw_joint_networks(net_a, net_b, joint_net, joint_pos)" | |
], | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"metadata": {}, | |
"output_type": "display_data", | |
"png": 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1eqlorPBPYeo0ClHVVGV+TlVx4NSBgMeJCInoNoUpMyGTtLi0EZOOIBJMXq+X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\n7BQgiIiIiIiInQIEERERERGx+//DncebBXib6QAAAABJRU5ErkJggg==\n", | |
"text": [ | |
"<matplotlib.figure.Figure at 0xb6bab2c>" | |
] | |
} | |
], | |
"prompt_number": 27 | |
} | |
], | |
"metadata": {} | |
} | |
] | |
} |
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