title: Characterization of multiple topological scales in multiplex networks through supra-Laplacian eigengaps.
abstract: 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.
authors.affiliation: Institute for Biocomputation and Physics of Complex Systems (BIFI), University of Zaragoza, Zaragoza 50009, Spain.|Department of Theoretical Physics, University of Zaragoza, Zaragoza 50009, Spain.
authors.forename: Emanuele
authors.initials: E
authors.lastname: Cozzo
authors.affiliation: Institute for Biocomputation and Physics of Complex Systems (BIFI), University of Zaragoza, Zaragoza 50009, Spain.|Department of Theoretical Physics, University of Zaragoza, Zaragoza 50009, Spain.|Complex Networks and Systems Lagrange Lab, Institute for Scientific Interchange, Turin 10126, Italy.
authors.forename: Yamir
authors.initials: Y
authors.lastname: Moreno