Open AccessModularity matrix of networks and the measure of community structure
Author(s) -
Gaoxia Wang,
Yingqiang Shen
Publication year - 2010
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.59.842
Subject(s) - centrality , modularity (biology) , measure (data warehouse) , complex network , community structure , computer science , katz centrality , network theory , network science , matrix (chemical analysis) , data mining , mathematics , statistics , materials science , genetics , world wide web , composite material , biology
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.