dc.creator |
Serrano Moral, Ma. Ángeles (María Ángeles) |
|
dc.creator |
Krioukov, Dmitri |
|
dc.creator |
Boguñá, Marián |
|
dc.date |
2010-07-05T10:11:47Z |
|
dc.date |
2010-07-05T10:11:47Z |
|
dc.date |
2008 |
|
dc.date.accessioned |
2024-12-16T10:24:22Z |
|
dc.date.available |
2024-12-16T10:24:22Z |
|
dc.identifier |
0031-9007 |
|
dc.identifier |
http://hdl.handle.net/2445/13287 |
|
dc.identifier |
557916 |
|
dc.identifier.uri |
http://fima-docencia.ub.edu:8080/xmlui/handle/123456789/17569 |
|
dc.description |
We demonstrate that the self-similarity of some scale-free networks with respect to a simple degree-thresholding renormalization scheme finds a natural interpretation in the assumption that network nodes exist in hidden metric spaces. Clustering, i.e., cycles of length three, plays a crucial role in this framework as a topological reflection of the triangle inequality in the hidden geometry. We prove that a class of hidden variable models with underlying metric spaces are able to accurately reproduce the self-similarity properties that we measured in the real networks. Our findings indicate that hidden geometries underlying these real networks are a plausible explanation for their observed topologies and, in particular, for their self-similarity with respect to the degree-based renormalization. |
|
dc.format |
4 p. |
|
dc.format |
application/pdf |
|
dc.language |
eng |
|
dc.publisher |
American Physical Society |
|
dc.relation |
Reproducció digital del document proporcionada per PROLA i http://dx.doi.org/10.1103/PhysRevLett.100.078701 |
|
dc.relation |
Physical Review Letters, 2008, vol. 100, núm. 7, p. 078701-1-078701-4 |
|
dc.relation |
http://dx.doi.org/10.1103/PhysRevLett.100.078701 |
|
dc.rights |
(c) American Physical Society, 2008 |
|
dc.rights |
info:eu-repo/semantics/openAccess |
|
dc.source |
Articles publicats en revistes (Física de la Matèria Condensada) |
|
dc.subject |
Física estadística |
|
dc.subject |
Mecànica estadística |
|
dc.subject |
Statistical physics |
|
dc.subject |
Statistical mechanics |
|
dc.title |
Self-similarity of complex networks and hidden metric spaces |
|
dc.type |
info:eu-repo/semantics/article |
|
dc.type |
info:eu-repo/semantics/publishedVersion |
|