Busca avançada
Ano de início
Entree


Effects of clustering heterogeneity on the spectral density of sparse networks

Texto completo
Autor(es):
Pham, Tuan Minh ; Peron, Thomas ; Metz, Fernando L.
Número total de Autores: 3
Tipo de documento: Artigo Científico
Fonte: PHYSICAL REVIEW E; v. 110, n. 5, p. 13-pg., 2024-11-19.
Resumo

We derive exact equations for the spectral density of sparse networks with an arbitrary distribution of the number of single edges and triangles per node. These equations enable a systematic investigation of the effects of clustering on the spectral properties of the network adjacency matrix. In the case of heterogeneous networks, we demonstrate that the spectral density becomes more symmetric as the fluctuations in the triangle-degree sequence increase. This phenomenon is explained by the small clustering coefficient of networks with a large variance of the triangle-degree distribution. In the homogeneous case of regular clustered networks, we find that both perturbative and nonperturbative approximations fail to predict the spectral density in the high-connectivity limit. This suggests that traditional large-degree approximations may be ineffective in studying the spectral properties of networks with more complex motifs. Our theoretical results are fully confirmed by numerical diagonalizations of finite adjacency matrices. (AU)

Processo FAPESP: 23/07481-6 - Sincronização em redes: aplicações em neurociência
Beneficiário:Thomas Kaue Dal Maso Peron
Modalidade de apoio: Auxílio à Pesquisa - Regular
Processo FAPESP: 13/07375-0 - CeMEAI - Centro de Ciências Matemáticas Aplicadas à Indústria
Beneficiário:Francisco Louzada Neto
Modalidade de apoio: Auxílio à Pesquisa - Centros de Pesquisa, Inovação e Difusão - CEPIDs