A local quantitative measure for community detection in networks
by Shuzhong Yang, Siwei Luo
International Journal of Intelligent Engineering Informatics (IJIEI), Vol. 1, No. 1, 2010

Abstract: Recently, it has been proved that the resolution of methods based on optimising the modularity Q is limited. In order to improve this limit, a novel local quantitative measure called normalised modularity density NMD is proposed and optimised by simulated annealing technique. Both theoretical certifications on some schematic examples and numerical results on a suit of computer-generated and real-world networks show that optimising NMD can detect communities with different scales, especially small dense communities that optimising Q cannot detect, which provides meaningful evidence that optimising NMD can improve the resolution limit in optimising modularity Q.

Online publication date: Wed, 02-Jun-2010

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