English

Generalised network clustering and its dynamical implications

Physics and Society 2010-06-24 v1 Populations and Evolution

Abstract

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.

Keywords

Cite

@article{arxiv.1006.4531,
  title  = {Generalised network clustering and its dynamical implications},
  author = {Thomas House},
  journal= {arXiv preprint arXiv:1006.4531},
  year   = {2010}
}

Comments

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

R2 v1 2026-06-21T15:39:59.491Z