Motif-based communities in complex networks

Details Motif-based communities in complex networks Motif-based communities in complex networks

2007-09-29

arxiv.org/abs/0710.0059v1

J. Phys. A: Math. Theor. 41 (2008) 224001

Physics

Computational Physics

Scientific paper

10.1088/1751-8113/41/22/224001

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.

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