Abstract
According to Fortunato and Barthélemy, modularity-based community detectionalgorithms have a resolution threshold such that small communities in a largenetwork are invisible. Here we generalize their work and show that the q-statePotts 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 allcommunities if their size distribution is broad.
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