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(Referência obtida automaticamente do Web of Science, por meio da informação sobre o financiamento pela FAPESP e o número do processo correspondente, incluída na publicação pelos autores.)

Geometrical and spectral study of beta-skeleton graphs

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Autor(es):
Alonso, L. [1] ; Mendez-Bermudez, J. A. [2, 3] ; Estrada, Ernesto [4, 5]
Número total de Autores: 3
Afiliação do(s) autor(es):
[1] Max Planck Inst Phys Komplexer Syst, Nothnitzer Str 38, D-01187 Dresden - Germany
[2] Benemerita Univ Autonoma Puebla, Inst Fis, Apartado Postal J-48, Puebla 72570 - Mexico
[3] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Dept Matemat Aplicada & Estat, Campus Sao Carlos, Caixa Postal 668, BR-13560970 Sao Carlos, SP - Brazil
[4] Univ Zaragoza, Inst Math & Applicat IUMA, Pedro Cerbuna 12, E-50009 Zaragoza - Spain
[5] Govt Aragon, ARAID Fdn, Zaragoza 50008 - Spain
Número total de Afiliações: 5
Tipo de documento: Artigo Científico
Fonte: Physical Review E; v. 100, n. 6 DEC 19 2019.
Citações Web of Science: 0
Resumo

We perform an extensive numerical analysis of beta-skeleton graphs, a particular type of proximity graphs. In beta-skeleton graph (BSG) two vertices are connected if a proximity rule, that depends of the parameter beta is an element of (0, infinity), is satisfied. Moreover, for beta > 1 there exist two different proximity rules, leading to lune-based and circle-based BSGs. First, by computing the average degree of large ensembles of BSGs we detect differences, which increase with the increase of beta, between lune-based and circle-based BSGs. Then, within a random matrix theory (RMT) approach, we explore spectral and eigenvector properties of random BSGs by the use of the nearest-neighbor energy-level spacing distribution and the entropic eigenvector localization length, respectively. The RMT analysis allows us to conclude that a localization transition occurs at beta = 1. (AU)

Processo FAPESP: 19/06931-2 - Métodos de matrizes aleatórias em redes complexas
Beneficiário:Francisco Aparecido Rodrigues
Linha de fomento: Auxílio à Pesquisa - Pesquisador Visitante - Internacional