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• W2078528040 abstract "Communities are fundamental entities for the characterization of the structure of real networks. The standard approach to the identification of communities in networks is based on the optimization of a quality function known as modularity. Although modularity has been at the center of an intense research activity and many methods for its maximization have been proposed, not much is yet known about the necessary conditions that communities need to satisfy in order to be detectable with modularity maximization methods. Here, we develop a simple theory to establish these conditions, and we successfully apply it to various classes of network models. Our main result is that heterogeneity in the degree distribution helps modularity to correctly recover the community structure of a network and that, in the realistic case of scale-free networks with degree exponent $ensuremath{gamma}<2.5$, modularity is always able to detect the presence of communities." @default.
• W2078528040 created "2016-06-24" @default.
• W2078528040 creator A5048471401 @default.
• W2078528040 date "2013-07-12" @default.
• W2078528040 modified "2023-09-23" @default.
• W2078528040 title "Detectability of communities in heterogeneous networks" @default.
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• W2078528040 doi "https://doi.org/10.1103/physreve.88.010801" @default.
• W2078528040 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/23944399" @default.
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