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Correlation Dimension of Complex Networks
Cita
Lacasa Saiz de Arce, Lucas and Gómez-Gardeñes, Jesús
(2013).
Correlation Dimension of Complex Networks.
"Physical Review Letters", v. 110
(n. 16);
pp..
ISSN 0031-9007.
https://doi.org/10.1103/PhysRevLett.110.168703.
Descripción
| Título: | Correlation Dimension of Complex Networks |
|---|---|
| Autor/es: |
|
| Tipo de Documento: | Artículo |
| Título de Revista/Publicación: | Physical Review Letters |
| Fecha: | 19 Abril 2013 |
| ISSN: | 0031-9007 |
| Volumen: | 110 |
| Número: | 16 |
| Materias: | |
| ODS: | |
| Escuela: | E.T.S.I. Aeronáuticos (UPM) [antigua denominación] |
| Departamento: | Matemática Aplicada y Estadística [hasta 2014] |
| Licencias Creative Commons: | Reconocimiento - Sin obra derivada - No comercial |
Resumen
We propose a new measure to characterize the dimension of complex networks based on the ergodic theory of dynamical systems. This measure is derived from the correlation sum of a trajectory generated by a random walker navigating the network, and extends the classical Grassberger-Procaccia algorithm to the context of complex networks. The method is validated with reliable results for both synthetic networks and real-world networks such as the world air-transportation network or urban networks, and provides a computationally fast way for estimating the dimensionality of networks which only relies on the local information provided by the walkers.
Más información
| ID de Registro: | 29152 |
|---|---|
| Identificador DC: | https://oa.upm.es/29152/ |
| Identificador OAI: | oai:oa.upm.es:29152 |
| URL Portal Científico: | https://portalcientifico.upm.es/es/ipublic/item/10226494 |
| Identificador DOI: | 10.1103/PhysRevLett.110.168703 |
| URL Oficial: | http://arxiv.org/pdf/1211.2651v2.pdf |
| Depositado por: | Memoria Investigacion |
| Depositado el: | 06 Ago 2014 16:28 |
| Ultima Modificación: | 15 Oct 2025 01:01 |
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