dorsal/arxiv
View SchemaClustering as a measure of the local topology of networks
| Authors | Alexandre H. Abdo, A. P. S. de Moura |
|---|---|
| Categories | |
| ArXiv ID | physics/0605235 |
| URL | https://arxiv.org/abs/physics/0605235 |
Abstract
Usual 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.
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"abstract": "Usual formulations of the clustering coefficient can be shown to be\ninsufficient in the task of describing the local topology of very simple\nnetworks. Motivated by this, we review some alternatives in order to present an\nextension, the clustering profile. We show, both conceptually and through\napplications to well studied networks, that this measure is a more complete and\nrobust measure of clustering. It imposes stringent constraints on theoretical\ngrowth models, specially on aspects of the network structure that play a\ncentral role in dynamics on networks. In addition, we study how it provides a\nricher perspective of phenomena such as hierarchy, small-worlds and\nclusterization.",
"arxiv_id": "physics/0605235",
"authors": [
"Alexandre H. Abdo",
"A. P. S. de Moura"
],
"categories": [
"physics.data-an",
"physics.bio-ph",
"physics.soc-ph"
],
"title": "Clustering as a measure of the local topology of networks",
"url": "https://arxiv.org/abs/physics/0605235"
},
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