Phys. Rev. E 84, 066117 (2011) - Clustering drives assortativity and community structure in ensembles of networks

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Clustering drives assortativity and community structure in ensembles of networks

David V. Foster, Jacob G. Foster, Peter Grassberger, and Maya Paczuski

Phys. Rev. E 84, 066117 – Published 20 December 2011

Abstract

Clustering, assortativity, and communities are key features of complex networks. We probe dependencies between these features and find that ensembles of networks with high clustering display both high assortativity by degree and prominent community structure, while ensembles with high assortativity show much less enhancement of the clustering or community structure. Further, clustering can amplify a small homophilic bias for trait assortativity in network ensembles. This marked asymmetry suggests that transitivity could play a larger role than homophily in determining the structure of many complex networks.

Received 11 January 2011

DOI:https://doi.org/10.1103/PhysRevE.84.066117

©2011 American Physical Society

Authors & Affiliations

David V. Foster^1,*, Jacob G. Foster², Peter Grassberger^1,3, and Maya Paczuski¹

¹Complexity Science Group, University of Calgary, Calgary, Canada T2N 1N4
²Department of Sociology, University of Chicago, Chicago 60615, USA
³NIC, Forschungszentrum Jülich, D-52425 Jülich, Germany

^*ventres@gmail.com

Article Text

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References

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Issue

Vol. 84, Iss. 6 — December 2011

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