Local modularity measure for network clusterizations

Details Local modularity measure for network clusterizations Local modularity measure for network clusterizations

2005-03-10

arxiv.org/abs/cond-mat/0503252v2

Phys. Rev. E, 72, 056107 (2005)

Physics

Condensed Matter

Disordered Systems and Neural Networks

5 pages, 4 figures, RevTex4; Changed content

Scientific paper

10.1103/PhysRevE.72.056107

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 \emph{locally} among each other (\emph{local cluster-connectivity}). Here, we introduce a new measure, 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.

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