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arXiv · 0706.2230

Limited resolution and multiresolution methods in complex network community detection

J. M. Kumpula·J. Saramaki·K. Kaski·J. Kertesz
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Abstract

Detecting community structure in real-world networks is a challenging problem. Recently, it has been shown that the resolution of methods based on optimizing a modularity measure or a corresponding energy is limited; communities with sizes below some threshold remain unresolved. One possibility to go around this problem is to vary the threshold by using a tuning parameter, and investigate the community structure at variable resolutions. Here, we analyze the resolution limit and multiresolution behavior for two different methods: a q-state Potts method proposed by Reichard and Bornholdt, and a recent multiresolution method by Arenas, Fernandez, and Gomez. These methods are studied analytically, and applied to three test networks using simulated annealing.

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J. M. Kumpula, J. Saramaki, K. Kaski, J. Kertesz. 2008-01-25. Limited resolution and multiresolution methods in complex network community detection. https://doi.org/10.1117/12.725560

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