Evolution Properties of Modules in Complex Networks

作     者：LI Ke-Ping GAO Zi-You 

作者机构：State Key Laboratory of Rail Traffic Control and Safety Beijing Jiaotong University Beijing 100044 China 

出 版 物：《Communications in Theoretical Physics》 (理论物理通讯（英文版）)

年 卷 期：2008年第50卷第10期

页      面：1013-1016页

核心收录：

学科分类：07[理学] 070201[理学-理论物理] 0702[理学-物理学] 

基　　金：National Natural Science Foundation of China under Grant Nos.60634010 and 60776829 New Century Excellent Talents in Universities under Grant No.NCET-06-0074 the Key Project of the Ministry of Education of China under Grant No.107007 

主　　题：correlation function network module evolution property 

摘      要：In complex networks, network modules play a center role, which carry out a key function. In this paper, we introduce the spatial correIation function to describe the relationships among the network modules. Our focus is to investigate how the network modules evolve, and what the evolution properties of the modules are. In order to test the proposed method, as the examples, we use our method to analyze and discuss the ER random network and scale-free network. Rigorous analysis of the existing data shows that the introduced correlation function is suitable for describing the evolution properties of network modules. Remarkably, the numerical simulations indicate that the ER random network and scale-free network have different evolution properties.