Physics – Data Analysis – Statistics and Probability
Scientific paper
2007-09-13
Phys. Rev. E 77, 046119 (2008)
Physics
Data Analysis, Statistics and Probability
10 pages, 2 figures
Scientific paper
10.1103/PhysRevE.77.046119
The discovery of community structure is a common challenge in the analysis of network data. Many methods have been proposed for finding community structure, but few have been proposed for determining whether the structure found is statistically significant or whether, conversely, it could have arisen purely as a result of chance. In this paper we show that the significance of community structure can be effectively quantified by measuring its robustness to small perturbations in network structure. We propose a suitable method for perturbing networks and a measure of the resulting change in community structure and use them to assess the significance of community structure in a variety of networks, both real and computer generated.
Karrer Brian
Levina Elizaveta
Newman M. E. J.
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