Scaling properties of multilayer random networks

Autor(es)

Mendez-Bermudez, J. A. ; Ferraz de Arruda, Guilherme ; Rodrigues, Francisco A. ; Moreno, Yamir

• Tipo de documento: Artigo Científico
• Fonte: PHYSICAL REVIEW E; v. 96, n. 1, p. 8-pg., 2017-07-07.

Resumo

Multilayer networks are widespread in natural and manmade systems. Key properties of these networks are their spectral and eigenfunction characteristics, as they determine the critical properties of many dynamics occurring on top of them. Here, we numerically demonstrate that the normalized localization length beta of the eigenfunctions of multilayer random networks follows a simple scaling law given by beta = x*/(1 + x*), with x* = gamma (b(eff)(2)/L)(delta), delta similar to 1, and b(eff) being the effective bandwidth of the adjacency matrix of the network, whose size is L. The scaling law for beta, that we validate on real-world networks, might help to better understand criticality in multilayer networks and to predict the eigenfunction localization properties of them. (AU)

• Processo FAPESP: 11/50761-2 - Modelos e métodos de e-Science para ciências da vida e agrárias
• Beneficiário: Roberto Marcondes Cesar Junior
• Modalidade de apoio: Auxílio à Pesquisa - Temático
• 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: 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