Clustering as a measure of the local topology of networks

dc.creatorAbdo, Alexandre H.
dc.creatorde Moura, A. P. S.
dc.date2006-05-26
dc.date2006-09-14
dc.date.accessioned2026-07-07T07:15:09Z
dc.date.available2026-07-07T07:15:09Z
dc.descriptionUsual formulations of the clustering coefficient can be shown to be insufficient in the task of describing the local topology of very simple networks. Motivated by this, we review some alternatives in order to present an extension, the clustering profile. We show, both conceptually and through applications to well studied networks, that this measure is a more complete and robust measure of clustering. It imposes stringent constraints on theoretical growth models, specially on aspects of the network structure that play a central role in dynamics on networks. In addition, we study how it provides a richer perspective of phenomena such as hierarchy, small-worlds and clusterization.
dc.description5 pages (twocolumn), 4 figures, submitted; (v4: major changes to structure and presentation, included new results on network models, deeper analysis and some corrections to figures)
dc.identifierhttps://arxiv.org/abs/physics/0605235
dc.identifierhttp://arxiv.org/abs/physics/0605235
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/113156
dc.subjectData Analysis, Statistics and Probability
dc.subjectBiological Physics
dc.subjectPhysics and Society
dc.titleClustering as a measure of the local topology of networks
dc.typetext

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