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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

On degree-degree correlations in multilayer networks

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Author(s):
de Arruda, Guilherme Ferraz [1] ; Cozzo, Emanuele [2, 3] ; Moreno, Yamir [2, 3, 4] ; Rodrigues, Francisco A. [1]
Total Authors: 4
Affiliation:
[1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Dept Matemat Aplicada & Estat, Campus Sao Carlos, Caixa Postal 668, BR-13560970 Sao Carlos, SP - Brazil
[2] Univ Zaragoza, Inst Biocomputat & Phys Complex Syst BIFI, Zaragoza 50018 - Spain
[3] Univ Zaragoza, Dept Theoret Phys, Zaragoza 50018 - Spain
[4] Inst Sci Interchange, Complex Networks & Syst Lagrange Lab, Turin - Italy
Total Affiliations: 4
Document type: Journal article
Source: PHYSICA D-NONLINEAR PHENOMENA; v. 323, p. 5-11, JUN 1 2016.
Web of Science Citations: 14
Abstract

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. (C) 2015 Elsevier B.V. All rights reserved. (AU)

FAPESP's process: 13/26416-9 - Modelling of dynamical processes in complex networks
Grantee:Francisco Aparecido Rodrigues
Support Opportunities: Regular Research Grants
FAPESP's process: 15/07463-1 - Spreading processes on multilayer networks
Grantee:Guilherme Ferraz de Arruda
Support Opportunities: Scholarships abroad - Research Internship - Doctorate
FAPESP's process: 12/25219-2 - Modeling, analysis and simulation of dynamic process on complex networks
Grantee:Guilherme Ferraz de Arruda
Support Opportunities: Scholarships in Brazil - Doctorate