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[igraph] modularity in dense weighted networks with spinglass.community


From: Aaron Alexander-Bloch
Subject: [igraph] modularity in dense weighted networks with spinglass.community
Date: Tue, 2 Mar 2010 20:05:36 +0000

Hi - Thanks in advance for any help.

I'm trying to apply spinglass.community in the R package to dense weighted networks and have some trouble interpreting the modularity value in my results. I'm assuming that $modularity is the value of the Hamiltonian as in the Reichardt/Bornholdt paper. As I'm keeping the gamma parameter at 1 and using the 'config' model, my understanding is that the Hamiltonian is the same as Newman's modularity, at least for binary graphs. But I'm not clear on how these concepts are related for weighted graphs. If I separately get the modularity value of the partition that spinglass gives me, it is different from the modularity value given by spinglass directly. So my question is how should the modularity value given by spinglass be interpreted for weighted graphs?

In a related question, is there any plan to implement the "weighted version" of this method as in Heimo (2008)

http://iopscience.iop.org/1742-5468/2008/08/P08007/

Thanks very much!
Aaron

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