Eigenvectors of network complement reveal community structure more accurately

Mina Zarei and Keivan Aghababaei Samani

Physica A: Statistical Mechanics and its Applications, 2009, vol. 388, issue 8, 1721-1730

Abstract: We propose a general spectral method to find communities of a network based on network complement and anti-community concepts. Analytical and numerical results show that the eigenspace of matrices corresponding to a network complement reveals the community structure of a network more accurately than the eigenspace of matrices corresponding to the network itself. It is shown that the Laplacian eigenspace is the best candidate for spectral community detection especially in networks with a heterogeneous community structure. The method is applied to some computer-generated and real-world networks with known community structures.

Keywords: Complex networks; Communities (search for similar items in EconPapers)
Date: 2009
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:388:y:2009:i:8:p:1721-1730

DOI: 10.1016/j.physa.2009.01.007

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