Created
August 5, 2017 07:03
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Community detection with networkx using the Karate Club network
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{ | |
"cells": [ | |
{ | |
"cell_type": "code", | |
"execution_count": 1, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"%matplotlib inline" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 2, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"import heapq\n", | |
"import itertools\n", | |
"import numpy as np\n", | |
"import networkx as nx\n", | |
"import matplotlib.pyplot as plt\n", | |
"import scipy.cluster.hierarchy as hierarchy\n", | |
"\n", | |
"from palettable.colorbrewer.qualitative import Paired_9_r\n", | |
"\n", | |
"colors = Paired_9_r.hex_colors" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 3, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"G = nx.karate_club_graph()\n", | |
"pos = nx.spring_layout(G)\n", | |
"\n", | |
"communities = [\n", | |
" [0, 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 13, 16, 17, 19, 21],\n", | |
" [9, 14, 15, 18, 20, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33]]" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 4, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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IJP8zDvM+jhNQDydwjk444X+oLzxMKiJyIfBn4Ieq+kqy1xMrvmDzLOAGXK74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WXLFq655hqWLVtGfn4+aWlpXHXVVWRkZAAwZ84c7rjjDtavX0/r1q157LHHaNKkSbhDbgX6+Hy+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\nOmHgi+JZAAAAAElFTkSuQmCC\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7f21de54f5c0>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"plt.figure(figsize=(12, 8))\n", | |
"nx.draw_networkx(G, pos=pos, node_color='0.9', node_size=640)\n", | |
"plt.axis('off');" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 5, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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dmGE0AEwYGymLjzp8T5S5xmGyGWifm5ezXkR2xb2JHOo/Hgx8gxPJ5YJ5WSq8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\nrF4c2r8VF408i9///K2iqTKxTYAeT8rhhbHH44kaVf0aeArLOK2MmAp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QAAAg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\nzd7BwT4AAAAASUVORK5CYII=\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7f21de1df358>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"plt.figure(figsize=(12, 8))\n", | |
"for community, color in zip(communities, colors):\n", | |
" nx.draw_networkx_nodes(G, pos=pos, nodelist=community, node_color=color, node_size=640)\n", | |
"nx.draw_networkx_edges(G, pos=pos)\n", | |
"nx.draw_networkx_labels(G, pos=pos)\n", | |
"plt.axis('off');" | |
] | |
}, | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": [ | |
"Girvan Newman Algorithm of Seperation\n", | |
"---" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 6, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"def girvan_newman(G):\n", | |
" \"\"\"Run Girvan + Newman up until the first seperation\n", | |
" \n", | |
" Returns\n", | |
" -------\n", | |
" communities, removed_edges : tuple\n", | |
" List of components of G and list of edges removed\n", | |
" \n", | |
" \"\"\"\n", | |
" G = G.copy()\n", | |
" removed_edges = []\n", | |
" \n", | |
" def find_best_edge(G):\n", | |
" \"\"\"Find the edge with the highest betweenness centrality\"\"\"\n", | |
" best_edge, score = max(\n", | |
" nx.edge_betweenness_centrality(G).items(),\n", | |
" key=lambda _: _[1])\n", | |
" return best_edge\n", | |
" \n", | |
" while nx.number_connected_components(G) == 1:\n", | |
" u, v = find_best_edge(G)\n", | |
" G.remove_edge(u, v)\n", | |
" removed_edges.append((u, v))\n", | |
"\n", | |
" return list(nx.connected_components(G)), removed_edges" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 7, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"communities, removed_edges = girvan_newman(G)\n", | |
"kept_edges = set(G.edges()) - set(removed_edges)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 8, | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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Nh+EEVN5Pv2z45q6Hbx53+1X3duo/smc0b0SAhpEnrarFuPz3lcAjACLSASeU++LcIQ4W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GHs8WQAVf1BVR9R1aFYmP4JwM/ABdgEs1+xZcezga/K45hEpAWWADDi+cG0xzyBxYjnOayTDRfs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\nCCEEIGEshBBCCCEEIGEshBBCCCEEAP8PppOFQYk/R9IAAAAASUVORK5CYII=\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7f21dc7b4550>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"plt.figure(figsize=(12, 8))\n", | |
"nx.draw_networkx_edges(G, pos, edgelist=kept_edges)\n", | |
"nx.draw_networkx_edges(G, pos, edgelist=removed_edges, style='dashed', edge_color='0.7')\n", | |
"for community, color in zip(communities, colors):\n", | |
" nx.draw_networkx_nodes(G, pos=pos, nodelist=community, node_color=color, node_size=640)\n", | |
"nx.draw_networkx_labels(G, pos=pos)\n", | |
"plt.axis('off');" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 9, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [], | |
"source": [ | |
"def get_community_matrix(A, communities):\n", | |
" n_unique_communities = len(set(communities))\n", | |
" adjaceny = np.zeros((n_unique_communities, n_unique_communities))\n", | |
"\n", | |
" for i, j in nd.ndenumerate(A):\n", | |
" if A[i, j] == 0:\n", | |
" continue\n", | |
" elif communities[i] == communities[j]:\n", | |
" adjaceny[communities[i], communities[i]] += A[i, j]\n", | |
" else:\n", | |
" adjaceny[communities[i], communities[j]] += 0.5 * A[i, j]\n", | |
" adjaceny[communities[j], communities[i]] = adjaceny[communities[i], communities[j]]\n", | |
"\n", | |
" return adjaceny / np.matrix.sum(A)" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 10, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"def node_weight(node, G):\n", | |
" \"\"\"Weight of node in graph G or 0\"\"\"\n", | |
" return G.node[node]['weight'] if node in G else 0\n", | |
"\n", | |
"def edge_weight(edge, G):\n", | |
" \"\"\"Weight in H of edge (i, j)\"\"\"\n", | |
" i, j = edge\n", | |
" return G.edge[i][j]['weight'] if G.has_edge(i, j) else 0" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 11, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"class fast_greedy(object):\n", | |
" def __init__(self, G):\n", | |
" self.heap = []\n", | |
" heapq.heapify(self.heap)\n", | |
"\n", | |
" for u, v in G.edges():\n", | |
" G.edge[u][v]['weight'] = 1 / (2 * G.size())\n", | |
" for u in G:\n", | |
" G.node[u]['weight'] = G.degree(u) / (2 * G.size())\n", | |
"\n", | |
" self.G = G\n", | |
" self.H = nx.relabel_nodes(\n", | |
" self.G,\n", | |
" copy=True,\n", | |
" mapping={node:frozenset((node,)) for node in self.G})\n", | |
" \n", | |
" @staticmethod\n", | |
" def get_best_pair(heap, G):\n", | |
" \"\"\"Return pair of nodes in H with maximal Q increase on merger\"\"\"\n", | |
" while True:\n", | |
" try:\n", | |
" dQ, u, v = heapq.heappop(heap)\n", | |
" except IndexError:\n", | |
" return None, None, None\n", | |
" if u in G and v in G:\n", | |
" break\n", | |
" return -dQ, u, v\n", | |
"\n", | |
" @staticmethod\n", | |
" def Q_change(u, v, G):\n", | |
" return 2 * (edge_weight((u, v), G) - node_weight(u, G) * node_weight(v, G))\n", | |
" \n", | |
"\n", | |
" def add_to_heap(self, u, v):\n", | |
" \"\"\"Python's heap is a min-heap\"\"\"\n", | |
" dQ = self.Q_change(u, v, self.H)\n", | |
" heapq.heappush(self.heap, (-dQ, u, v))\n", | |
"\n", | |
" \n", | |
" def merge_nodes(self, u, v):\n", | |
" comb = u | v\n", | |
" self.H.add_node(\n", | |
" comb,\n", | |
" weight=node_weight(u, self.H) + node_weight(v, self.H))\n", | |
"\n", | |
" for neighbor in self.H.neighbors(u) + self.H.neighbors(v):\n", | |
" # ignore edges internal to the merger\n", | |
" if neighbor == u or neighbor == v:\n", | |
" continue\n", | |
"\n", | |
" # total weight is the sum of old weights\n", | |
" self.H.add_edge(\n", | |
" u=comb,\n", | |
" v=neighbor,\n", | |
" weight=edge_weight((u, neighbor), self.H) + edge_weight((v, neighbor), self.H))\n", | |
"\n", | |
" self.add_to_heap(comb, neighbor)\n", | |
" self.H.remove_nodes_from([u, v])\n", | |
"\n", | |
" def run(self):\n", | |
" for c1, c2 in self.H.edges_iter():\n", | |
" self.add_to_heap(c1, c2) \n", | |
"\n", | |
" k = np.array(list(self.G.degree().values()))\n", | |
" Q = -sum(k**2) / (4 * self.H.size()**2)\n", | |
"\n", | |
" best_Q = Q\n", | |
" best_partition = None\n", | |
"\n", | |
" while len(self.H) > 1:\n", | |
" dQ, c1, c2 = self.get_best_pair(self.heap, self.H)\n", | |
" if c1 is None or c2 is None:\n", | |
" break\n", | |
"\n", | |
" self.merge_nodes(c1, c2)\n", | |
"\n", | |
" Q += dQ\n", | |
" if Q > best_Q:\n", | |
" best_Q = Q\n", | |
" best_partition = self.H.nodes()\n", | |
" \n", | |
" self.best_partition = list(map(tuple, best_partition))\n", | |
" self.best_Q = best_Q" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 12, | |
"metadata": { | |
"collapsed": true | |
}, | |
"outputs": [ | |
{ | |
"name": "stdout", | |
"output_type": "stream", | |
"text": [ | |
"Best partition includes the following communities:\n", | |
"\n", | |
"(1, 2, 3, 17, 21, 7, 9, 12, 13)\n", | |
"(8, 14, 15, 18, 20, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33)\n", | |
"(16, 0, 19, 4, 5, 6, 10, 11)\n", | |
"\n", | |
"The modularity of this partition is: 0.3807\n" | |
] | |
} | |
], | |
"source": [ | |
"model = fast_greedy(G)\n", | |
"model.run()\n", | |
"\n", | |
"print('Best partition includes the following communities:\\n')\n", | |
"for community in model.best_partition:\n", | |
" print(community)\n", | |
"print(f'\\nThe modularity of this partition is: {model.best_Q:0.4f}')" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 13, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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4IrtbVfXhRK+nrohIV+ASXKvvt3FNjT6Mx3udF7mnhnKz2+CKmg/Hpaql4wTx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qLblgdL/7Tvga/DMhY3bA3dHwcpS148PDIVlUp7Ah4eGYUUY5HD4S7Kn4vIFxghbg88izk43A20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\nrkJggg==\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7f21de1ff4a8>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"plt.figure(figsize=(12, 8))\n", | |
"for community, color in zip(model.best_partition, colors):\n", | |
" nx.draw_networkx_nodes(G, pos=pos, nodelist=community, node_color=color, node_size=640)\n", | |
"nx.draw_networkx_edges(G, pos=pos)\n", | |
"nx.draw_networkx_labels(G, pos=pos)\n", | |
"plt.axis('off');" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 14, | |
"metadata": {}, | |
"outputs": [], | |
"source": [ | |
"def similarity_matrix(G):\n", | |
" \"\"\"Return an n x n array representing the similarity matrix of G\"\"\"\n", | |
" # A^2 is number of common neighbors, plus A gives one for being connected\n", | |
" n = len(G)\n", | |
" k = G.degree()\n", | |
" A = nx.adjacency_matrix(G)\n", | |
" J = A@A + A\n", | |
" X = np.zeros((n, n))\n", | |
" \n", | |
" for i, j in itertools.product(range(n), repeat=2):\n", | |
" X[i,j] = J[i,j] / (min(k[i], k[j]) + 1 - A[i, j])\n", | |
" \n", | |
" return X" | |
] | |
}, | |
{ | |
"cell_type": "code", | |
"execution_count": 15, | |
"metadata": { | |
"collapsed": false | |
}, | |
"outputs": [ | |
{ | |
"data": { | |
"image/png": 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P7+W3dkiSJEkVDNKSJElShVZBOiKOjojrImJjRJwywft7RsTHm/eviIiDe947tZl+XUQc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\n/wfLHSMIab1ZygAAAABJRU5ErkJggg==\n", | |
"text/plain": [ | |
"<matplotlib.figure.Figure at 0x7f21dc8713c8>" | |
] | |
}, | |
"metadata": {}, | |
"output_type": "display_data" | |
} | |
], | |
"source": [ | |
"plt.figure(figsize=(12, 5))\n", | |
"\n", | |
"X = similarity_matrix(G)\n", | |
"Z = hierarchy.linkage(X)\n", | |
"dendrogram = hierarchy.dendrogram(Z)" | |
] | |
} | |
], | |
"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 | |
} |
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