摘要
探讨了复杂网络的模块矩阵的正(负)特征谱与网络的社团结构(反社团结构)的关系,给出了反映网络社团结构性质的相关定义.利用模块矩阵的多个特征值与特征向量,引入反映个体对所处社团的依附程度一种结构中心化指标.利用人工网络与实际网络数据,将这种指标与几种经典的中心化指标进行了比较.结果表明该指标具有较好的分辨率并与度指标具有一定程度的相关性.
The relationships between positive （negative） eigenspectrums and the structure properties of community （anti-community） of complex networks are investigated, and some corresponding definitions are given. By using the multieigenspectrums of modularity matrix of networks, a kind of structural centrality measure called the community centrality, is introduced. This individual centrality measure describes the strength that the individual adheres to the corresponding community. The measure is illustrated and compared with the standard centrality measures using several artificial networks and real world networks data. The results show that the community centrality has better discrimination, and it has positive correlation with the degree centrality.
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
2010年第2期842-850,共9页
Acta Physica Sinica
基金
国家自然科学基金(批准号:60574025
60740430664)
高等学校博士学科点专项科研基金(批准号:20070487052)资助的课题~~
关键词
网络
模块矩阵
社团结构
中心化
networks modularity matrix community structure centrality
