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Self-similarity of complex networks and hidden metric spaces

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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


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