作者：Shi; Chen; Zhi-Zhong; Wang; Mei-Hua; B...complexnetworkscommunitydetectionmodularity
摘要：Community structure is a common topological property of complex networks, which attracted much attention from various fields. Optimizing quality functions for community structures is a kind of popular strategy for community detection, such as Modularity optimization. Here, we introduce a general definition of Modularity, by which several classical(multi-resolution) Modularity can be derived, and then propose a kind of adaptive(multi-resolution) Modularity that can combine the advantages of different Modularity. By applying the Modularity to various synthetic and real-world networks, we study the behaviors of the methods, showing the validity and advantages of the multi-resolution Modularity in community detection. The adaptive Modularity, as a kind of multi-resolution method, can naturally solve the first-type limit of Modularity and detect communities at different scales;it can quicken the disconnecting of communities and delay the breakup of communities in heterogeneous networks;and thus it is expected to generate the stable community structures in networks more effectively and have stronger tolerance against the secondtype limit of Modularity.
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