001/* 002 * Copyright 2006 - 2013 003 * Stefan Balev <stefan.balev@graphstream-project.org> 004 * Julien Baudry <julien.baudry@graphstream-project.org> 005 * Antoine Dutot <antoine.dutot@graphstream-project.org> 006 * Yoann Pigné <yoann.pigne@graphstream-project.org> 007 * Guilhelm Savin <guilhelm.savin@graphstream-project.org> 008 * 009 * This file is part of GraphStream <http://graphstream-project.org>. 010 * 011 * GraphStream is a library whose purpose is to handle static or dynamic 012 * graph, create them from scratch, file or any source and display them. 013 * 014 * This program is free software distributed under the terms of two licenses, the 015 * CeCILL-C license that fits European law, and the GNU Lesser General Public 016 * License. You can use, modify and/ or redistribute the software under the terms 017 * of the CeCILL-C license as circulated by CEA, CNRS and INRIA at the following 018 * URL <http://www.cecill.info> or under the terms of the GNU LGPL as published by 019 * the Free Software Foundation, either version 3 of the License, or (at your 020 * option) any later version. 021 * 022 * This program is distributed in the hope that it will be useful, but WITHOUT ANY 023 * WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A 024 * PARTICULAR PURPOSE. See the GNU Lesser General Public License for more details. 025 * 026 * You should have received a copy of the GNU Lesser General Public License 027 * along with this program. If not, see <http://www.gnu.org/licenses/>. 028 * 029 * The fact that you are presently reading this means that you have had 030 * knowledge of the CeCILL-C and LGPL licenses and that you accept their terms. 031 */ 032package org.graphstream.algorithm.generator; 033 034import java.util.Random; 035 036import org.graphstream.algorithm.Toolkit; 037import org.graphstream.graph.Edge; 038 039/** 040 * Dorogovtsev - Mendes graph generator. 041 * 042 * <p> 043 * This generator creates graph using the Dorogovtsev - Mendes algorithm. This 044 * starts by creating three nodes and tree edges, making a triangle, and then 045 * add one node at a time. Each time a node is added, an edge is chosen randomly 046 * and the node is connected via two new edges to the two extremities of the 047 * chosen edge. 048 * </p> 049 * 050 * <p> 051 * This process generates a power-low degree distribution, as nodes that have 052 * more edges have more chances to be selected since their edges are more 053 * represented in the edge set. 054 * </p> 055 * 056 * <p> 057 * The Dorogovtsev - Mendes algorithm always produce planar graphs. 058 * </p> 059 * 060 * <h2>Usage</h2> 061 * 062 * <p> 063 * The more this generator is iterated, the more nodes are generated. It can 064 * therefore generate trees of any size. A each call to {@link #nextEvents()}, 065 * a new node and two edges are added. 066 * </p> 067 * 068 * <h2>Complexity</h2> 069 * 070 * At each step only one node and two edges are added. 071 * 072 * <h2>Example</h2> 073 * 074 * <pre> 075 * Graph graph = new SingleGraph("Dorogovtsev mendes"); 076 * Generator gen = new DorogovtsevMendesGenerator(); 077 * gen.addSink(graph); 078 * gen.begin(); 079 * for(int i=0; i<100; i++) { 080 * gen.nextEvents(); 081 * } 082 * gen.end(); 083 * graph.display(); 084 * </pre> 085 * 086 * <h2>References</h2> 087 * 088 * <p> 089 * This kind of graph is described, among others, in the "Evolution of networks" 090 * by Dorogovtsev and Mendes. 091 * </p> 092 * 093 * @reference S. N. Dorogovtsev and J. F. F. Mendes, "Evolution of networks", in 094 * Adv. Phys. 51, 2002, 1079--1187, 095 * arXiv:cond-mat/0106144v2 096 * 097 * @since 20070117 098 */ 099public class DorogovtsevMendesGenerator extends BaseGenerator { 100 /** 101 * Used to generate node names. 102 */ 103 protected int nodeNames = 0; 104 105 /** 106 * Create a new generator with default random object. 107 */ 108 public DorogovtsevMendesGenerator() { 109 setUseInternalGraph(true); 110 } 111 112 /** 113 * New generator with the given random number generator. 114 * 115 * @param random 116 * The number generator to use. 117 */ 118 public DorogovtsevMendesGenerator(Random random) { 119 this(); 120 121 this.random = random; 122 } 123 124 /** 125 * Init the generator. An initial full graph of three nodes is build here. 126 * 127 * @see org.graphstream.algorithm.generator.Generator#begin() 128 */ 129 public void begin() { 130 this.random = this.random == null ? new Random( 131 System.currentTimeMillis()) : this.random; 132 133 addNode("0"); 134 addNode("1"); 135 addNode("2"); 136 137 addEdge("0-1", "0", "1"); 138 addEdge("1-2", "1", "2"); 139 addEdge("2-0", "2", "0"); 140 141 nodeNames = 3; 142 } 143 144 /** 145 * Step of the DorogovtsevMendes generator. Add a new node <i>n</i>, then an 146 * edge is chosen randomly and its extremities are connected to the new node 147 * <i>n</i>. 148 * 149 * @see org.graphstream.algorithm.generator.Generator#nextEvents() 150 */ 151 public boolean nextEvents() { 152 String name = Integer.toString(nodeNames++); 153 Edge edge = Toolkit.randomEdge(internalGraph, random); 154 String n0 = edge.getNode0().getId(); 155 String n1 = edge.getNode1().getId(); 156 157 addNode(name); 158 159 addEdge(n0 + "-" + name, n0, name); 160 addEdge(n1 + "-" + name, n1, name); 161 162 return true; 163 } 164 165 /* 166 * (non-Javadoc) 167 * 168 * @see org.graphstream.algorithm.generator.Generator#end() 169 */ 170 @Override 171 public void end() { 172 super.end(); 173 } 174}