Limited resolution in complex network community detection with Potts model approach

Details Limited resolution in complex network community detection with Potts model approach Limited resolution in complex network community detection with Potts model approach

2006-10-13

arxiv.org/abs/cond-mat/0610370v3

Eur. Phys. J. B 56, 41-45 (2007)

Physics

Condensed Matter

Disordered Systems and Neural Networks

5 pages, 3 figures, final version

Scientific paper

10.1140/epjb/e2007-00088-4

According to Fortunato and Barthelemy, modularity-based community detection algorithms have a resolution threshold such that small communities in a large network are invisible. Here we generalize their work and show that the q-state Potts community detection method introduced by Reichardt and Bornholdt also has a resolution threshold. The model contains a parameter by which this threshold can be tuned, but no a priori principle is known to select the proper value. Single global optimization criteria do not seem capable for detecting all communities if their size distribution is broad.

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