Enhance the Efficiency of Heuristic Algorithm for Maximizing Modularity Q
نویسندگان
چکیده
Modularity Q is an important function for identifying community structure in complex networks. In this paper, we prove that the modularity maximization problem maxS∈S Q̄ = Tr(S T BS) is equivalent to a nonconvex quadratic programming problem maxS∈S Qm = Tr(S T (B +D)S). This result provide us a simple way to improve the efficiency of heuristic algorithms for maximizing modularity Q. Many numerical results demonstrate that it is very effective. Keyword: Complex Network, Community Structure, Modularity Q PACS: 89.75.Hc, 05.40.-a, 87.23.Kg
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تاریخ انتشار 2008