doi:10.1103/PhysRevE.94.052318engCozzo, E.Moreno, Y.Characterization of multiple topological scales in multiplex networks through supra-Laplacian eigengapsART-2016-97444Multilayer 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.2016http://zaguan.unizar.es/record/5845210.1103/PhysRevE.94.052318http://zaguan.unizar.es/record/58452oai:zaguan.unizar.es:58452info:eu-repo/grantAgreement/ES/MINECO/FIS2014-55867-Pinfo:eu-repo/grantAgreement/EC/FP7/317532/EU/Foundational Research on MULTIlevel comPLEX networks and systems/MULTIPLEXPhysical Review E 94, 5 (2016), 052318 [6 pp.]by-nchttp://creativecommons.org/licenses/by-nc/3.0/es/info:eu-repo/semantics/openAccess