Physics – Physics and Society
Scientific paper
2009-07-21
Phys. Rev. E 81, 046110 (2010)
Physics
Physics and Society
9 pages, 8 figures, 2 tables. The software to calculate the C-score can be found at http://filrad.homelinux.org/cscore
Scientific paper
10.1103/PhysRevE.81.046110
Nodes in real-world networks are usually organized in local modules. These groups, called communities, are intuitively defined as sub-graphs with a larger density of internal connections than of external links. In this work, we introduce a new measure aimed at quantifying the statistical significance of single communities. Extreme and Order Statistics are used to predict the statistics associated with individual clusters in random graphs. These distributions allows us to define one community significance as the probability that a generic clustering algorithm finds such a group in a random graph. The method is successfully applied in the case of real-world networks for the evaluation of the significance of their communities.
Lancichinetti Andrea
Radicchi Filippo
Ramasco Jose J.
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