84347 20200716101521.0 doi 10.1103/PhysRevE.100.012313 sideral 113025 ART-2019-113025 eng (orcid)0000-0002-5655-1587 Cozzo, Emanuele Layer degradation triggers an abrupt structural transition in multiplex networks 2019 Access copy available to the general public Unrestricted Network robustness is a central point in network science, both from a theoretical and a practical point of view. In this paper, we show that layer degradation, understood as the continuous or discrete loss of links'' weight, triggers a structural transition revealed by an abrupt change in the algebraic connectivity of the graph. Unlike traditional single layer networks, multiplex networks exist in two phases, one in which the system is protected from link failures in some of its layers and one in which all the system senses the failure happening in one single layer. We also give the exact critical value of the weight of the intralayer links at which the transition occurs for continuous layer degradation and its relation with the value of the coupling between layers. This relation allows us to reveal the connection between the transition observed under layer degradation and the one observed under the variation of the coupling between layers. info:eu-repo/grantAgreement/ES/MINECO/FIS2017-87519-P info:eu-repo/grantAgreement/ES/DGA/E36-17R info:eu-repo/semantics/openAccess All rights reserved http://www.europeana.eu/rights/rr-f/ 2.296 2019 PHYSICS, MATHEMATICAL 9 / 55 = 0.164 2019 Q1 T1 PHYSICS, FLUIDS & PLASMAS 13 / 34 = 0.382 2019 Q2 T2 0.958 2019 Condensed Matter Physics 2019 Q1 Statistical and Nonlinear Physics 2019 Q1 Statistics and Probability 2019 Q2 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Ferraz de Arruda, Guilherme Rodrigues, Francisco A. (orcid)0000-0002-0895-1893 Moreno, Yamir Universidad de Zaragoza 2004 405 Universidad de Zaragoza Dpto. Física Teórica Área Física Teórica 100, 1 (2019), 012313 [7 pp.] Phys. rev., E PHYSICAL REVIEW E 2470-0045 2352763 http://zaguan.unizar.es/record/84347/files/texto_completo.pdf Versión publicada 596739 http://zaguan.unizar.es/record/84347/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:84347 articulos driver 2020-07-16-09:27:20 ARTICLE