Hu Yanqing, Li Menghui, Zhang Peng, Fan Ying, Di Zengru
Department of Systems Science, School of Management, Center for Complexity Research, Beijing Normal University, Beijing 100875, China.
Phys Rev E Stat Nonlin Soft Matter Phys. 2008 Jul;78(1 Pt 2):016115. doi: 10.1103/PhysRevE.78.016115. Epub 2008 Jul 30.
Based on a signaling process of complex networks, a method for identification of community structure is proposed. For a network with n nodes, every node is assumed to be a system which can send, receive, and record signals. Each node is taken as the initial signal source to excite the whole network one time. Then the source node is associated with an n -dimensional vector which records the effects of the signaling process. By this process, the topological relationship of nodes on the network could be transferred into a geometrical structure of vectors in n -dimensional Euclidean space. Then the best partition of groups is determined by F statistics and the final community structure is given by the K -means clustering method. This method can detect community structure both in unweighted and weighted networks. It has been applied to ad hoc networks and some real networks such as the Zachary karate club network and football team network. The results indicate that the algorithm based on the signaling process works well.
基于复杂网络的信号传递过程,提出了一种社区结构识别方法。对于一个具有n个节点的网络,假设每个节点是一个能够发送、接收和记录信号的系统。将每个节点作为初始信号源对整个网络进行一次激励。然后将源节点与一个记录信号传递过程影响的n维向量相关联。通过这个过程,网络中节点的拓扑关系可以转化为n维欧几里得空间中向量的几何结构。然后通过F统计量确定组的最佳划分,并通过K均值聚类方法给出最终的社区结构。该方法可以检测无权网络和加权网络中的社区结构。它已应用于自组织网络以及一些真实网络,如扎卡里空手道俱乐部网络和足球队网络。结果表明,基于信号传递过程的算法效果良好。