Characterization of multiple topological scales in multiplex networks through supra-Laplacian eigengaps
Cozzo , Emanuele (Universidad de Zaragoza) ; Moreno Vega, Yamir (Universidad de Zaragoza)
Resumen: Multilayer networks have been the subject of intense research during the past few years, as they represent better the interdependent nature of many real-world systems. Here, we address the question of describing the three different structural phases in which a multiplex network might exist. We show that each phase can be characterized by the presence of gaps in the spectrum of the supra-Laplacian of the multiplex network. We therefore unveil the existence of different topological scales in the system, whose relation characterizes each phase. Moreover, by capitalizing on the coarse-grained representation that is given in terms of quotient graphs, we explain the mechanisms that produce those gaps as well as their dynamical consequences.
Idioma: Inglés
DOI: 10.1103/PhysRevE.94.052318
Año: 2016
Publicado en: PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 94, 5 (2016), 052318 [6 pp.]
ISSN: 1539-3755
Financiación: info:eu-repo/grantAgreement/ES/FIS/2014-55867-P
Financiación: info:eu-repo/grantAgreement/EUR/FP7/ICT-MULTIPLEX-317532
Tipo y forma: Article (Published version)
Área (Departamento): Física Teórica (Departamento de Física Teórica)
Área (Departamento): Sin Adscripción (SIN ADSCRIPCION)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes.
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Exportado de SIDERAL (2017-01-16-12:00:00)
Idioma: Inglés
DOI: 10.1103/PhysRevE.94.052318
Año: 2016
Publicado en: PHYSICAL REVIEW. E, STATISTICAL, NONLINEAR, AND SOFT MATTER PHYSICS 94, 5 (2016), 052318 [6 pp.]
ISSN: 1539-3755
Financiación: info:eu-repo/grantAgreement/ES/FIS/2014-55867-P
Financiación: info:eu-repo/grantAgreement/EUR/FP7/ICT-MULTIPLEX-317532
Tipo y forma: Article (Published version)
Área (Departamento): Física Teórica (Departamento de Física Teórica)
Área (Departamento): Sin Adscripción (SIN ADSCRIPCION)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes. 0
Exportado de SIDERAL (2017-01-16-12:00:00)
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