Characterization of multiple topological scales in multiplex networks through supra-Laplacian eigengaps

Cozzo  , Emanuele; Moreno Vega, Yamir

doi:10.1103/PhysRevE.94.052318

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)
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Characterization of multiple topological scales in multiplex networks through supra-Laplacian eigengaps