{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Dense Subgroups in Networks, Communities and Motif counting" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "At this time there is no rigorous and universally accepted definition of community in field of network\n", "analysis. However, one could formulate some properties that all communities are desired to exhibit, for example:\n", "* Low overlapping\n", "* Density\n", "* Low distance (diameter)\n", "* Connectivity" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import networkx as nx\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.cluster import hierarchy\n", "from scipy.spatial.distance import pdist, squareform\n", "import itertools\n", "from itertools import starmap\n", "plt.xkcd()\n", "%matplotlib inline" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Cliques" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Taking into account the requirements above, one of the suitable extreme cases is a **clique** (complete subgraph).\n", "\n", "However, if cliques with 3 nodes can be found in real networks with a very frequent rate, cliques of bigger size are rare. Besides, it does not worth to cross off from the list of potential communities a structure that lack of only one edge between vertices to be a clique. So...\n", "\n", "**Pros:**\n", "+ Dense\n", "+ Low overlapping (as size increases)\n", "\n", "**Cons:**\n", "+ Very strict" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### k-clique, k-club, k-clan, k-plex" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The are several relaxations of the clique concept.\n", "\n", "Given a graph $G = (V,E)$ **k-clique** is a maximal subset $S \\subseteq V$ s.t.\n", "\n", "$$\\forall\\ u, v\\ \\in S,\\ d_G(u,v) <= k\\text{,}$$\n", "where $d_G(\\cdot, \\cdot)$ denotes the length of the shortest path between nodes in graph $G$.\n", "\n", "What about overlapping and cohesion here? Non-membership fail, overlapping" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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i4jQXLlzgES+vvw8AOnwYgFGjRvH9998za9YsDh8+TGRkJF9//XXyMe3aAZAN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\nqChKAb7AFWCTuztfeXvj98g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lKyIi4iQqWRERESdRyYqIiDiJSlZERMRJVLIiIiJOopIV\nERFxEpWsiIiIk6hkRUREnOT/AaFET7BKVAHZAAAAAElFTkSuQmCC\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "G = nx.cycle_graph(5)\n", "G.add_node(5)\n", "G.add_edges_from([(4,5), (3, 5)])\n", "nx.draw_spectral(G)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Complete function that exhastively search for k-cliques in graph G\n", "# Use itertools.combinations to get combinations of nodes for subgraphs and node pairs\n", "#\n", "def FindKCliques(G, k):\n", " n = G.order()\n", " V = G.nodes()\n", " kCliques = []\n", " # Iterate over sizes\n", " for grSize in xrange(n, 1, -1):\n", " # Iterate over subgraphs\n", " for subV in itertools.combinations(V, grSize):\n", " # Not included in maximal and all distances are <= k\n", " if not any([set(subV).issubset(kcl) for kcl in kCliques]):\n", " if all([nx.shortest_path_length(G, pairs[0], pairs[1]) <= k for pairs in itertools.combinations(subV, 2)]):\n", " kCliques.append(subV)\n", " \n", " return kCliques" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "[(0, 1, 2, 3, 4), (0, 2, 3, 4, 5)]" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "FindKCliques(G, 2)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's move to k-clans: **k-clan** is a k-clique $S$ s.t. diameter of induced subgraph $G[S] <= k$\n", "\n", "What it gives us? More cohesion, non-membership fail fixed\n", "______________________________" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As an analogy to k-cores and another relaxation of cliques **k-plex** comes on the scene. \n", "\n", "k-plex is a subset of vertices $S$ if the minimum degree in the induced subgraph $d_\\min(G[S]) >= |S| - k$.\n", "\n", "In English: every node in k-plex is connected to every other node, except $k$ of them.\n", "\n", "k-pleces are harder to compute, however they posses some good properties. If $G_S$ is k-plex then:\n", "* Every subgraph of $G_S$ is a k-plex\n", "* If $k < \\frac{n+2}{2} \\rightarrow \\text{diameter}(G_S) \\leq 2$\n", "* $\\mathfrak{K}(G) > n - 2k +2$\n", "\n", "where $\\mathfrak{K}(G)$ is the minimum number of vertices whose\n", "removal results in a disconnected or trivial graph" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### K-Cores" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Generate some graph and draw its core decomposition" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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gd3Sibdu2Vh0/d+5cnn/+eZtCOSUkbKWYdlodWlaVAm/UarUyQFqe7AHwxx9/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vOu/zK7ZMyl58bD5FStwxfffPuXGvebNGnSVXpotVoLE3iPAt97+uSXAWrUqJFvBZajR4+698c1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\n09S3ZS+A1NRUAG31e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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Put your code here\n", "G = nx.davis_southern_women_graph()\n", "n_core = nx.core_number(G)\n", "pos = nx.spring_layout(G)\n", "nx.draw_networkx(G, pos, \n", " with_labels = False,\n", " node_list = n_core.keys(), \n", " node_color = n_core.values(), \n", " cmap=plt.cm.Reds)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Motifs" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Generate directed scale free graph nx.scale_free_graph() and set some motif template. Write a function that check the presence of the motif in the graph." ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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YQFlZOfcx3McePnwIX19f1KhRAwCgrq4OAIiKisozBksmk+Hu3bu5CVVAQABS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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "params = np.array([1.,5.,1.])\n", "params /= np.sum(params)\n", "G = nx.scale_free_graph(20, alpha=params[0], beta=params[1], gamma=params[2])\n", "plt.figure(figsize=(10,5))\n", "plt.subplot(121)\n", "nx.draw_spring(G)\n", "\n", "motif = nx.DiGraph([ (1,3), (2,3)])\n", "plt.subplot(122)\n", "nx.draw(motif)" ] }, { "cell_type": "code", "execution_count": 38, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0, 10, 3]\n", "[0, 9, 14]\n", "[0, 9, 17]\n", "[0, 17, 14]\n", "[3, 4, 6]\n", "[9, 3, 6]\n", "[9, 4, 6]\n" ] } ], "source": [ "# Continue your code here\n", "# ...\n", "V = G.nodes()\n", "for subV in itertools.combinations(V, 3):\n", " subG = nx.subgraph(G, subV)\n", " if nx.is_isomorphic(subG, motif):\n", " print subG.nodes()" ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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BE72BnJwc2NvbY8aMGfjxxx8xe/ZsWFtbi46lsSRJwuDBgyGXy7F582adO7aTdAsLmOgN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\nRMch0hmlpaXo2bM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/+z/VhycioirFgziq2C+//ILWzZsjo7AQNZ5/wNcXCAsDTE2V/0Bo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\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "subG = nx.subgraph(G,[0, 10, 3])\n", "nx.draw(subG)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Hierarichal Clustering" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Take some toy-graph, compute any kind of similarity matrix and perform hierarichal clustering.\n", "\n", "Helpful functions: pdist(A,'cosine'), hierarchy.average(), hierarchy.dendrogram()" ] }, { "cell_type": "code", "execution_count": 44, "metadata": { "collapsed": false }, "outputs": [], "source": [ "# Continue your code here\n", "# \n", "G = nx.karate_club_graph()\n", "A = nx.to_numpy_matrix(G)\n", "M = pdist(A, 'cosine')\n", "M = squareform(M)\n" ] }, { "cell_type": "code", "execution_count": 49, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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Ox2VwCkpSqVSSJD6RAwCAqWfllh3fbnEZnMKS+t+oicfjDpsCAAAYnZVbdoyUd97j5Hd5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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "Z = hierarchy.average(M)\n", "plt.figure(figsize=(10,10))\n", "D = hierarchy.dendrogram(Z)" ] }, { "cell_type": "code", "execution_count": 50, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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2LGe5uNC9desvOg/210AEWSFXZ86cYfHixZmQkJBvuYSEBFoaGvLo2x/i589J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\nyM7OxtKlS7F8+XLMmjULI0aMgKKiIm7du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