{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# The Temporal Preferential Attachment Random Network Generation Model" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This notebook gives detailed information to help better use the Temporal Preferential Attachment random network generation model (the TPA model). In this notebook, we will demonstrate how to create random scale-free networks using the TPA model. This code is licensed under a BSD license. See [license file](https://dynamics.cs.washington.edu/LICENSE.txt)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 0. Setup" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "Before we begin, make sure you have installed all the required Python packages. (The instructions below use pip. You can use easy_install, too.) Also, consider using virtualenv for a cleaner installation experience instead of sudo. I also recommend running the code via IPython Notebook.\n", "\n", "* sudo pip install --upgrade networkx\n", "*sudo pip install --upgrade matplotlib\n", "* sudo pip install --upgrade numpy - please read [numpy's manual](https://docs.scipy.org/doc/numpy/user/install.html ) before installing the package\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1. The TPA Model's Code" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false }, "outputs": [], "source": [ "%matplotlib inline\n", "\n", "import random\n", "import os\n", "import networkx as nx\n", "import math\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "random.seed(5)\n", "\n", "def _random_subset(seq, m):\n", " \"\"\" Return m unique elements from seq.\n", "\n", " This differs from random.sample which can return repeated\n", " elements if seq holds repeated elements.\n", " \"\"\"\n", " targets = set()\n", " while len(targets) < m:\n", " x = random.choice(seq)\n", " targets.add(x)\n", " return targets\n", "\n", "\n", "class TPAGraphCreator(object):\n", " MAX_TRIES = 1000\n", "\n", " def __init__(self, nodes_join_rate_list, node_number_of_edges, distance_prob_func=lambda t: 0.012*math.exp(-t/88),\n", " graph_name=None, output_dir=None):\n", " \"\"\"\n", " Initialize TPAGraphCreator object\n", " :param nodes_join_rate_list: a list with the join rate data, i.e. how many nodes to insert to the graph in\n", " each iteration\n", " :param node_number_of_edges: how many links each nodes will create after it added to the network\n", " :param distance_prob_func: a distance probability function, i.e. the probability of a node v to connect to a node\n", " u where the join time difference between u & v is t\n", " :param graph_name: the graph name\n", " :param output_dir: if not None save the graph to output dir after each new nodes where added\n", "\n", " \"\"\"\n", " self._g = nx.Graph()\n", " self._rate_list = nodes_join_rate_list\n", " self._node_number_of_edges = node_number_of_edges\n", " self._distance_prob_func = distance_prob_func\n", " self._nodes_time_groups_dict = {}\n", " self._total_nodes = 0\n", " self._degrees_dict = {}\n", " self._out_dir = None\n", " self._name = None\n", " self._graphs_list = []\n", "\n", " if graph_name is not None and output_dir is not None:\n", " self._name = graph_name\n", " self._out_dir = \"%s/%s\" % (output_dir, graph_name)\n", " if self._out_dir is not None and not os.path.isdir(self._out_dir):\n", " os.mkdir(self._out_dir)\n", "\n", " self._construct_tpa_graph()\n", "\n", " def _construct_tpa_graph(self):\n", " \"\"\"\n", " Construct a random graph based on the above parameters\n", " \"\"\"\n", " for i in range(len(self._rate_list)):\n", " self._add_new_time_group(self._rate_list[i], i )\n", " self._graphs_list.append(self._g.copy())\n", " if self._out_dir is not None:\n", " print \"Saving graph %s after iteration %s\" % (self._name, i)\n", " nx.write_gml(self._g, \"%s/%s_%s.gml\" % (self._out_dir, self._name, i))\n", "\n", "\n", "\n", " def _add_new_time_group(self, nodes_number, time_group):\n", " \"\"\"\n", " Add new nodes with time group to the graph\n", " :param nodes_number: number of new nodes to add to the graph\n", " :param time_group: the new nodes time group\n", " \"\"\"\n", " print \"Adding %s vertices with time %s to the graph\" % (nodes_number, time_group)\n", " new_nodes_ids = range(self._total_nodes, self._total_nodes + nodes_number)\n", " self._nodes_time_groups_dict[time_group] = new_nodes_ids\n", " self._g.add_nodes_from(new_nodes_ids)\n", " for n in new_nodes_ids:\n", " self._degrees_dict[n] = 0\n", " self._g.node[n]['timegroup'] = time_group\n", "\n", " self._total_nodes += nodes_number\n", "\n", " self._add_edges_to_graph(time_group )\n", "\n", " def _add_edges_to_graph(self, time_group):\n", " \"\"\"\n", " Add edges to the nodes in the input time group\n", " :param time_group: time group of nodes in the graph\n", " \"\"\"\n", " nodes = self._nodes_time_groups_dict[time_group]\n", " print time_group\n", " for n in nodes:\n", " for i in range(self._node_number_of_edges):\n", " distance = self._select_n_random_time_group_by_distance(1)[0]\n", " tries = 0\n", " # Try to connect the n to another node in a time-distance of distance, if not it is not possible try again\n", " # for MAX_TRIES\n", " while self._add_edge(n, time_group - distance) is None:\n", " distance = self._select_n_random_time_group_by_distance(1)[0]\n", " tries += 1\n", " if tries > TPAGraphCreator.MAX_TRIES:\n", " break #move to next vertex\n", "\n", " def _select_n_random_time_group_by_distance(self, n):\n", " \"\"\"\n", " Select n random time groups according to the distance probability function\n", " :param n: number of time groups to select\n", " :return:\n", " \"\"\"\n", " f = self._distance_prob_func\n", " distance_porbs_dict = {distance: f(distance) for distance in self._nodes_time_groups_dict.keys()}\n", " distances_prob_sum = float(sum(distance_porbs_dict.values()))\n", "\n", " #normalize probabilites so sum will be equal one\n", " distance_porbs_dict = {k:v/distances_prob_sum for k,v in distance_porbs_dict.iteritems()}\n", " random_selected_distances = np.random.choice(distance_porbs_dict.keys(), n, p=distance_porbs_dict.values())\n", " return random_selected_distances\n", "\n", "\n", " def _add_edge(self,n,t):\n", " \"\"\"\n", " Add edge between node n to another node at time group t\n", " :param n: node id\n", " :param t: time group id\n", " :return: True if an edge was created or False otherwise\n", " :rtype: bool\n", " \"\"\"\n", " target_nodes = set(self._nodes_time_groups_dict[t])\n", " target_nodes = list(target_nodes - set(self._g.neighbors(n)) - {n})\n", " if len(target_nodes) == 0:\n", " # The node already connected to all the nodes in the target group\n", " return None\n", " l = []\n", " # connect the node by using the preferential-attachment process, i.e. the node with the nodes with higher degree\n", " # in the time group have higher probability to connect to n than nodes with lower degree\n", " for t_node in target_nodes:\n", " l += [t_node]*(self._degrees_dict[t_node])\n", " if len(l) == 0:\n", " #if no node have degree chose one randomly\n", " target = random.choice(list(target_nodes))\n", " else:\n", " target = random.choice(l)\n", "\n", " if self._g.has_edge(n,target):\n", " return False\n", " self._g.add_edge(n,target)\n", " self._degrees_dict[n] += 1\n", " self._degrees_dict[target] += 1\n", "\n", " return True\n", "\n", " @property\n", " def degree_dict(self):\n", " return self._degrees_dict\n", " @property\n", " def graph(self):\n", " return self._g\n", "\n", " @property\n", " def graphs_list(self):\n", " return self._graphs_list\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The above code is an implementation the TPA model. The TPA model generates scale-free complex networks in which new stars emerge over time using the following steps: \n", "\n", "1. There are three input parameters: the vertices’ join-rate over time $j$ (the _nodes_join_rate_list_ variable); $f$ , a monotonically decreasing function giving the probability of a vertex that arrives at time $t_i$ connecting to other vertices that arrive at time $t_j$ (the _distance_prob_func_ variable); and $e$, the number of edges each vertex establishes upon joining the network (the _node_number_of_edges_ variable).\n", "\n", "2. The model generates a random network as, in each time iteration, a group of new vertices joins the network together. \n", "\n", "3. Each vertex $v$ establishes $e$ new links, first by selecting the time group to connect using the probability function $f$. Then, a random vertex that arrived at the selected time group is selected. The vertex selection process is very similar to the preferential-attachment process, i.e., a vertex is selected at random, where vertices with high degree have higher likelihood, proportional to the vertex degree, to be selected. Afterwards, a link is created between $v$ and the selected vertex. \n", "\n", "4. In each iteration new groups of vertices join the network.\n", "\n", "More details on the TPA model can be found in [our paper](https://dynamics.cs.washington.edu/publications.html).\n", "\n", "One can create a network with the jj , ff , and ee variables simply by constructing _TPAGraphCreator_ obejct. Here are some examples of networks created with various parameters:\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Adding 1 vertices with time 0 to the graph\n", "0\n", "Adding 1 vertices with time 1 to the graph\n", "1\n", "Adding 2 vertices with time 2 to the graph\n", "2\n", "Adding 3 vertices with time 3 to the graph\n", "3\n", "Adding 5 vertices with time 4 to the graph\n", "4\n", "Adding 8 vertices with time 5 to the graph\n", "5\n", "Adding 13 vertices with time 6 to the graph\n", "6\n", "Adding 21 vertices with time 7 to the graph\n", "7\n", "Adding 34 vertices with time 8 to the graph\n", "8\n", "Adding 55 vertices with time 9 to the graph\n", "9\n" ] } ], "source": [ "vertices_join_rate = [1,1,2,3,5,8,13,21,34,55]\n", "distance_func = lambda t: 0.86*math.exp(-2*t)\n", "tpa = TPAGraphCreator(vertices_join_rate, 2, distance_func, \"test_graph_fibonacci\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can get the construct and draw the created graph using the following code:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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dfn4arFixAgEBAf+gbYR/GxG+wkvh/Pnz+Oyzz7Bs2ToAY0EOBKAFcAYqVRtY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\nHndZtGgRXbp0AZy+4nlpT1xx4sQJ2rXrjk7nicVSBrM5Ci+vAFQqE84oc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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def draw_graph(g,layout_func=nx.spring_layout):\n", " pos = layout_func(g)\n", " d = nx.degree(g)\n", " n_sizes = [v * 25 for v in d.values()]\n", " nx.draw(g, nodelist=d.keys(), node_size=n_sizes, node_color='blue')\n", "\n", "g = tpa.graph\n", "draw_graph(g)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also get the graph state after a specific iteration. For example, the following code prints the graph state after the sixth iteration:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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bty76+vq5WktMTAzt27enadOmLFu2TKuvV+cnEr5C5FGvu1wXFxeOHDlCnz59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\nHTsW8+fPx7Jly6Cnp4eysjLs27cPFy4koFEjPQw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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "h = tpa.graphs_list[5]\n", "draw_graph(h)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "By using different parameters as input to the model, we can construct various types of graphs. Here are some examples of graphs that can be created by the TPA model:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Adding 75 vertices with time 0 to the graph\n", "0\n", "Adding 50 vertices with time 1 to the graph\n", "1\n", "Adding 25 vertices with time 2 to the graph\n", "2\n", "Adding 20 vertices with time 3 to the graph\n", "3\n", "Adding 15 vertices with time 4 to the graph\n", "4\n", "Adding 10 vertices with time 5 to the graph\n", "5\n", "Adding 5 vertices with time 6 to the graph\n", "6\n", "Adding 5 vertices with time 7 to the graph\n", "7\n", "Adding 5 vertices with time 8 to the graph\n", "8\n", "Adding 5 vertices with time 9 to the graph\n", "9\n", "Adding 5 vertices with time 10 to the graph\n", "10\n" ] }, { "data": { "image/png": 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LGDVqFAoXLoy4uDiUKxeExo0bQS5Ph0LREj//3BQTJx7HqFHj0b9/D/To8RBBQT1RtOgA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ZOH36NPfffz+zZv1xtZ709HSio6Pp2LFjsaxQq1atwmazkZaWVmJbu3btwmAIRORE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\nhHCw/wdAOgUwMPMJoAAAAABJRU5ErkJggg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# A network with sigmoidal growth rate\n", "tpa = TPAGraphCreator([75,50,25,20,15,10,5,5,5,5,5], 2, lambda t: 0.65*(2**(-t)))\n", "draw_graph(tpa.graph, layout_func=nx.fruchterman_reingold_layout)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Adding 25 vertices with time 0 to the graph\n", "0\n", "Adding 50 vertices with time 1 to the graph\n", "1\n", "Adding 75 vertices with time 2 to the graph\n", "2\n", "Adding 100 vertices with time 3 to the graph\n", "3\n", "Adding 125 vertices with time 4 to the graph\n", "4\n", "Adding 150 vertices with time 5 to the graph\n", "5\n" ] }, { "data": { "image/png": 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vN44tW7ZkixYtaLPVC3Jf89ihQ08+//wMulzl9e/nI3COJtNTjIgozqNHjxbaM0pOTmZM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\n+Pjlr9ekSVuaTFOKLZNGTavDMWPGMD4+nkFBEfTxyatM1ZPqV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A+T4CuEEEJ4\nmARfIYQQwsMk+AohhBAeJsFXCCGE8DAJvkIIIYSHSfAVQgghPEyCrxBCCOFhEnyFEEIID5PgK4QQ\nQniYBF8hhBDCwyT4CiGEEB4mwVcIIYTwMAm+QgghhIdJ8BVCCCE8TIKvEEII4WESfIUQQggPk+Ar\nhBBCeJgEXyGEEMLDJPgKIYQQHibBVwghhPAwCb5CCCGEh0nwFUIIITxMgq8QQgjhYf8frMWbn12u\n9PMAAAAASUVORK5CYII=\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Creating network with a community structure in which about 98% of the edges are among vertices that joined\n", "# the network in the same time iteration\n", "tpa = TPAGraphCreator([25, 50,75,100,125, 150], 2, lambda t: 0.98*2**(-6*t)) \n", "draw_graph(tpa.graph, layout_func=nx.fruchterman_reingold_layout)" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Adding 30 vertices with time 0 to the graph\n", "0\n", "Adding 30 vertices with time 1 to the graph\n", "1\n", "Adding 30 vertices with time 2 to the graph\n", "2\n", "Adding 30 vertices with time 3 to the graph\n", "3\n", "Adding 30 vertices with time 4 to the graph\n", "4\n", "Adding 30 vertices with time 5 to the graph\n", "5\n", "Adding 30 vertices with time 6 to the graph\n", "6\n", "Adding 30 vertices with time 7 to the graph\n", "7\n", "Adding 30 vertices with time 8 to the graph\n", "8\n", "Adding 30 vertices with time 9 to the graph\n", "9\n", "Adding 30 vertices with time 10 to the graph\n", "10\n", "Adding 30 vertices with time 11 to the graph\n", "11\n", "Adding 30 vertices with time 12 to the graph\n", "12\n", "Adding 30 vertices with time 13 to the graph\n", "13\n", "Adding 30 vertices with time 14 to the graph\n", "14\n", "Adding 30 vertices with time 15 to the graph\n", "15\n" ] }, { "data": { "image/png": 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5PIwZM45GY49cx8Fsbsvg4HAajR2Y3dP7EsW6vIFO7uMe3o3vJUV6yNn5HHdS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\nt2zZwoCAAH7xxRd/46gWHRkZGQwOLk3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sua1vKzs7m1999RW7dOlCT09PPv300/z2229d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\nDeK4cSWXqTxy5Aife24o4+JqU6crT+BYsXPlUOIMCgfgxbHo2sZl3U5Sf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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# A graph created by linear growth rate. \n", "tpa = TPAGraphCreator([30]*16, 3,lambda t: 0.95*2**(-5*t))\n", "draw_graph(tpa.graph, layout_func=nx.fruchterman_reingold_layout)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 3. Further Reading" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Further reading material:\n", "* Barabási, Albert-László, and Réka Albert. \"Emergence of scaling in random networks,\" Science 286.5439 (1999): 509-512. [[Link]](https://arxiv.org/pdf/cond-mat/9910332.pdf%3Forigin%3Dpublication_detail)\n", "* Watts, Duncan J., and Steven H. Strogatz. \"Collective dynamics of ‘small-world’networks,\" Nature 393.6684 (1998): 440-442. [[Link]](http://www.nature.com/nature/journal/v393/n6684/full/393440a0.html)\n", "* Holme, Petter, and Beom Jun Kim. \"Growing scale-free networks with tunable clustering,\" Physical Review E 65.2 (2002): 026107. [[Link]](https://arxiv.org/pdf/cond-mat/0110452)" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.12" } }, "nbformat": 4, "nbformat_minor": 0 }