On degree-degree correlations in multilayer networks

Autor(es)

de Arruda, Guilherme Ferraz ^[1] ; Cozzo, Emanuele ^{[2, 3]} ; Moreno, Yamir ^{[2, 3, 4]} ; Rodrigues, Francisco A. ^[1]

Afiliação do(s) autor(es)

^[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

• Tipo de documento: Artigo Científico
• Fonte: PHYSICA D-NONLINEAR PHENOMENA; v. 323, p. 5-11, JUN 1 2016.
• Citações Web of Science: 14

Resumo

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)

• Processo FAPESP: 13/26416-9 - Modelagem de processos dinâmicos em redes complexas
• Beneficiário: Francisco Aparecido Rodrigues
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• Processo FAPESP: 15/07463-1 - Processos de propagação em redes de múltiplas camadas
• Beneficiário: Guilherme Ferraz de Arruda
• Modalidade de apoio: Bolsas no Exterior - Estágio de Pesquisa - Doutorado
• Processo FAPESP: 12/25219-2 - Modelagem, análise e simulação de processos dinâmicos em redes complexas
• Beneficiário: Guilherme Ferraz de Arruda
• Modalidade de apoio: Bolsas no Brasil - Doutorado