Generalised network clustering and its dynamical implications

Details Generalised network clustering and its dynamical implications Generalised network clustering and its dynamical implications

2010-06-23

arxiv.org/abs/1006.4531v1

Physics

Physics and Society

11 pages, 2 figures. In press at Advances in Complex Systems special issue for the European Conference on Complex Systems 2009

Scientific paper

A parameterisation of generalised network clustering, in the form of four-motif prevalences, is presented. This involves three real parameters that are conditional on one- two- and three-motif prevalences. Interpretations of these real parameters are presented that motivate a set of rewiring schemes to create appropriately clustered networks. Finally, the dynamical implications of higher order structure, as parameterised, for a contact process are considered.

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