Correlation dimension of complex networks

Lacasa, L. ; Gómez-Gardeñes, J. (Universidad de Zaragoza)

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.

Idioma: Inglés

DOI: 10.1103/PhysRevLett.110.168703

Año: 2013

Publicado en: Physical Review Letters 110, 16 (2013), 168703 [5 pp]
ISSN: 0031-9007

Factor impacto JCR: 7.728 (2013)

Categ. JCR: PHYSICS, MULTIDISCIPLINARY rank: 6 / 78 = 0.077 (2013) - Q1 - T1

Financiación: info:eu-repo/grantAgreement/ES/DGA/FM122-10
Financiación: info:eu-repo/grantAgreement/ES/MINECO/FIS2009-13690
Financiación: info:eu-repo/grantAgreement/ES/MINECO/FIS2011-14539-E
Financiación: info:eu-repo/grantAgreement/ES/MINECO/FIS2011-25167
Financiación: info:eu-repo/grantAgreement/ES/MINECO/FIS2012-38266-C02-01

Tipo y forma: Article (Published version)

Área (Departamento): Área Física Materia Condensada (Dpto. Física Materia Condensa.)