基于熵的复杂有向网络异质性度量方法  

Method for Measuring the Heterogeneity of complex Directed Network Based on Entropy

作　　者：周漩[1] 张凤鸣[1] 惠晓滨[1] 李克武[1] 姜苈峰[1] 

机构地区：[1]空军工程大学工程学院,陕西西安710038

出　　处：《系统工程》2011年第8期123-126,共4页Systems Engineering

摘　　要：复杂网络异质性度量方法研究中,现有方法虽然考虑了网络中节点度分布,但没有考虑相邻节点之间的差异性和节点相互作用的方向性,对此,提出了一种基于熵的复杂有向网络异质性度量方法,综合考虑有向网络节点度分布和相邻节点之间的差异性,突出网络对称性在消除网络异质性中所起的作用,使得有向网络异质性的度量更加准确,为复杂有向网络复杂性的度量提供一种新的思路。算例表明该方法具有合理性和有效性。According to the research on the measurement of complex network heterogeneity,the existing methods took the degree distribution of network into account,but they didn＇t consider the difference between adjacent nodes and the direction of interaction.In view of this,this paper provides a new method for measuring the heterogeneity of complex directed network based on entropy,considers the degree distribution and the difference between adjacent nodes,gave prominence to the role of network＇s symmetry in the elimination of heterogeneity to quantify the structural heterogeneity of networks more precisely and proposes new idea for measuring the complexity of complex directed network.An illustrative example proves that the method is reasonable and valid.

关 键 词：异质性 度分布 熵 有向网络 

分 类 号：N945[自然科学总论—系统科学]