56096 20200221144201.0 doi 10.1016/j.physd.2015.11.004 sideral 94944 ART-2016-94944 eng Ferraz de Arruda, G. On degree-degree correlations in multilayer networks 2016 Access copy available to the general public Unrestricted We propose a generalization of the concept of assortativity based on the tensorial representation of multilayer networks, covering the definitions given in terms of Pearson and Spearman coefficients. Our approach can also be applied to weighted networks and provides information about correlations considering pairs of layers. By analyzing the multilayer representation of the airport transportation network, we show that contrasting results are obtained when the layers are analyzed independently or as an interconnected system. Finally, we study the impact of the level of assortativity and heterogeneity between layers on the spreading of diseases. Our results highlight the need of studying degree-degree correlations on multilayer systems, instead of on aggregated networks. info:eu-repo/grantAgreement/EC/FP7/317614/EU/Mathematical framework for multiplex networks/PLEXMATH info:eu-repo/semantics/openAccess by http://creativecommons.org/licenses/by/3.0/es/ 1.514 2016 MATHEMATICS, APPLIED 56 / 255 = 0.22 2016 Q1 T1 PHYSICS, MULTIDISCIPLINARY 33 / 79 = 0.418 2016 Q2 T2 PHYSICS, MATHEMATICAL 24 / 55 = 0.436 2016 Q2 T2 0.846 2016 Condensed Matter Physics 2016 Q1 Statistical and Nonlinear Physics 2016 Q2 info:eu-repo/semantics/article info:eu-repo/semantics/acceptedVersion Cozzo, E. (orcid)0000-0002-0895-1893 Moreno, Y. Universidad de Zaragoza Rodrigues, F.A. 2004 405 Universidad de Zaragoza Dpto. Física Teórica Área Física Teórica 323-324 (2016), 5-11 Physica, D PHYSICA D-NONLINEAR PHENOMENA 0167-2789 2707418 http://zaguan.unizar.es/record/56096/files/texto_completo.pdf Postprint 109645 http://zaguan.unizar.es/record/56096/files/texto_completo.jpg?subformat=icon icon Postprint oai:zaguan.unizar.es:56096 articulos driver 2020-02-21-13:09:22 ARTICLE