Detecting modules in dense weighted networks with the Potts method

Details Detecting modules in dense weighted networks with the Potts method Detecting modules in dense weighted networks with the Potts method

2008-04-22

arxiv.org/abs/0804.3457v3

Journal of Statistical Mechanics, P08007 (2008)

Physics

Physics and Society

14 pages, 6 figures. v2: 1 figure added, 1 reference added, minor changes. v3: 3 references added, minor changes

Scientific paper

10.1088/1742-5468/2008/08/P08007

We address the problem of multiresolution module detection in dense weighted networks, where the modular structure is encoded in the weights rather than topology. We discuss a weighted version of the q-state Potts method, which was originally introduced by Reichardt and Bornholdt. This weighted method can be directly applied to dense networks. We discuss the dependence of the resolution of the method on its tuning parameter and network properties, using sparse and dense weighted networks with built-in modules as example cases. Finally, we apply the method to data on stock price correlations, and show that the resulting modules correspond well to known structural properties of this correlation network.

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