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一种基于谱平分法的社团划分算法
引用本文:谢福鼎,张磊,嵇敏,黄丹. 一种基于谱平分法的社团划分算法[J]. 计算机科学, 2009, 36(11): 185-188
作者姓名:谢福鼎  张磊  嵇敏  黄丹
作者单位:辽宁师范大学计算机与信息技术学院,大连,116081;辽宁师范大学计算机与信息技术学院,大连,116081;辽宁师范大学计算机与信息技术学院,大连,116081;辽宁师范大学计算机与信息技术学院,大连,116081
基金项目:国家自然科学基金,‘973'项目 
摘    要:基于改进的SNN相似度矩阵与谱平分法,提出了一种寻找复杂网络社团结构的算法.首先计算出网络中各节点之间改进的SNN矩阵并将其标准化,求得该矩阵的特征值及特征向量.然后分别选取不同数目的第一非平凡特征向量作为聚类样本,利用FCM聚类算法对节点进行分类,并计算出每次分类结果所对应的模块度Q值.Q的最大值对应的社团结构即为最佳的网络社团结构.一些实验测试了该方法的可行性,通过与其它方法的结果进行比较,可知该算法划分社团的准确率较高.

关 键 词:复杂网络  社团结构  SNN相似度矩阵  谱评分法  FCM算法
收稿时间:2008-12-09
修稿时间:2009-03-06

Community Partitioning Algorithm Based on Spectral Bisection Method
XIE Fu-ding,ZHANG Lei,JI Min,HUANG Dan. Community Partitioning Algorithm Based on Spectral Bisection Method[J]. Computer Science, 2009, 36(11): 185-188
Authors:XIE Fu-ding  ZHANG Lei  JI Min  HUANG Dan
Affiliation:(College of Computer Science and Information Technology, Liaoning Normal University, Dalian 116081 , China)
Abstract:Based on the improved SNN similarity matrix and spectral bisection method, this paper proposed a new algorithm for detecting the community structure in complex networks. The improved SNN similarity matrix was firstly computed and normalized and its cigenvalucs and cigenvectors were obtained subsequently. hhen different numbers of the first non-trivial eigenvectors were chosen as clustering samples, FCM algorithm began to work and the corresponding modularity was computed. The best structure of the network was detected by mapping the largest value of modularity.The experiment shows the validity of the presented method The result obtained here is compared with other popular ones and the conclusion is that the accuracy of the results calculated by this approach is much better than the known ones.
Keywords:Complex networks  Community structure  SNN similarity matrix  Spectral bisection method  FCM algorithm
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