000056096 001__ 56096 000056096 005__ 20200221144201.0 000056096 0247_ $$2doi$$a10.1016/j.physd.2015.11.004 000056096 0248_ $$2sideral$$a94944 000056096 037__ $$aART-2016-94944 000056096 041__ $$aeng 000056096 100__ $$aFerraz de Arruda, G. 000056096 245__ $$aOn degree-degree correlations in multilayer networks 000056096 260__ $$c2016 000056096 5060_ $$aAccess copy available to the general public$$fUnrestricted 000056096 5203_ $$aWe 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. 000056096 536__ $$9info:eu-repo/grantAgreement/EC/FP7/317614/EU/Mathematical framework for multiplex networks/PLEXMATH 000056096 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/ 000056096 590__ $$a1.514$$b2016 000056096 591__ $$aMATHEMATICS, APPLIED$$b56 / 255 = 0.22$$c2016$$dQ1$$eT1 000056096 591__ $$aPHYSICS, MULTIDISCIPLINARY$$b33 / 79 = 0.418$$c2016$$dQ2$$eT2 000056096 591__ $$aPHYSICS, MATHEMATICAL$$b24 / 55 = 0.436$$c2016$$dQ2$$eT2 000056096 592__ $$a0.846$$b2016 000056096 593__ $$aCondensed Matter Physics$$c2016$$dQ1 000056096 593__ $$aStatistical and Nonlinear Physics$$c2016$$dQ2 000056096 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/acceptedVersion 000056096 700__ $$aCozzo, E. 000056096 700__ $$0(orcid)0000-0002-0895-1893$$aMoreno, Y.$$uUniversidad de Zaragoza 000056096 700__ $$aRodrigues, F.A. 000056096 7102_ $$12004$$2405$$aUniversidad de Zaragoza$$bDpto. Física Teórica$$cÁrea Física Teórica 000056096 773__ $$g323-324 (2016), 5-11$$pPhysica, D$$tPHYSICA D-NONLINEAR PHENOMENA$$x0167-2789 000056096 8564_ $$s2707418$$uhttps://zaguan.unizar.es/record/56096/files/texto_completo.pdf$$yPostprint 000056096 8564_ $$s109645$$uhttps://zaguan.unizar.es/record/56096/files/texto_completo.jpg?subformat=icon$$xicon$$yPostprint 000056096 909CO $$ooai:zaguan.unizar.es:56096$$particulos$$pdriver 000056096 951__ $$a2020-02-21-13:09:22 000056096 980__ $$aARTICLE