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IOP Publishing, Journal of Physics A: Mathematical and Theoretical, 22(41), p. 224001, 2008

DOI: 10.1088/1751-8113/41/22/224001

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Motif-based communities in complex networks

Journal article published in 2007 by Alex Arenas, Alberto Fernandez ORCID, Santo Fortunato, Sergio Gomez
This paper is available in a repository.
This paper is available in a repository.

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Abstract

Community definitions usually focus on edges, inside and between the communities. However, the high density of edges within a community determines correlations between nodes going beyond nearest-neighbours, and which are indicated by the presence of motifs. We show how motifs can be used to define general classes of nodes, including communities, by extending the mathematical expression of Newman-Girvan modularity. We construct then a general framework and apply it to some synthetic and real networks.