Local modularity measure for network clusterizations

TitleLocal modularity measure for network clusterizations
Publication TypeJournal Article
Year of Publication2005
AuthorsMuff S., Rao F., Caflisch A.
JournalPhysical Review E: Statistical, Nonlinear, and Soft Matter Physics
Volume72
Issue5.2
Pagination056107
Date Published2005 Nov
Type of ArticleResearch Article
Keywordsclustering, clusterization, complex networks, graph, modularity, optimization
Abstract

Many complex networks have an underlying modular structure, i.e., structural subunits (communities or clusters) characterized by highly interconnected nodes. The modularity Q has been introduced as a measure to assess the quality of clusterizations. Q has a global view, while in many real-world networks clusters are linked mainly locally among each other (local cluster connectivity). Here we introduce a measure of localized modularity LQ, which reflects local cluster structure. Optimization of Q and LQ on the clusterization of two biological networks shows that the localized modularity identifies more cohesive clusters, yielding a complementary view of higher granularity.

DOI10.1103/PhysRevE.72.056107
pubindex

0072

Alternate JournalPhys. Rev. E
PubMed ID16383688
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