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Local modularity measure for network clusterizations

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S. Muff; F. Rao; A. Caflisch

Journal: Phys. Rev. E
Year: 2005
Volume: 72
Issue: 5.2
Pages: 056107
DOI: 10.1103/PhysRevE.72.056107
Type of Publication: Journal Article

clustering; clusterization; complex networks; graph; modularity; optimization


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.