Concentric network symmetry

Autor(es)

Silva, Filipi N. ^[1] ; Comin, Cesar H. ^[1] ; Peron, Thomas K. D. M. ^[1] ; Rodrigues, Francisco A. ^[2] ; Ye, Cheng ^[3] ; Wilson, Richard C. ^[3] ; Hancock, Edwin R. ^[3] ; Costa, Luciano da F. ^[1]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Sao Carlos Inst Phys, POB 668, BR-13560970 Sao Carlos, SP - Brazil

^[2] Univ Sao Paulo, Inst Math & Comp Sci, POB 668, BR-13560970 Sao Carlos, SP - Brazil

^[3] Univ York, Dept Comp Sci, York YO10 5GH, N Yorkshire - England

• Tipo de documento: Artigo Científico
• Fonte: INFORMATION SCIENCES; v. 333, p. 61-80, MAR 10 2016.
• Citações Web of Science: 4

Resumo

Quantification of symmetries in complex networks is typically done globally in terms of automorphisms. Extending previous methods to locally assess the symmetry of nodes is not straightforward. Here we present a new framework to quantify the symmetries around nodes, which we call connectivity patterns. We develop two topological transformations that allow a concise characterization of the different types of symmetry appearing on networks and apply these concepts to six network models, namely the Erdos-Renyi, Barabasi-Albert, random geometric graph, Waxman, Voronoi and rewired Voronoi. Real-world networks, namely the scientific areas of Wikipedia, the world-wide airport network and the street networks of Oldenburg and San Joaquin, are also analyzed in terms of the proposed symmetry measurements. Several interesting results emerge from this analysis, including the high symmetry exhibited by the Erdos-Renyi model. Additionally, we found that the proposed measurements present low correlation with other traditional metrics, such as node degree and betweenness centrality. Principal component analysis is used to combine all the results, revealing that the concepts presented here have substantial potential to also characterize networks at a global scale. We also provide a real-world application to the financial market network. (C) 2015 Elsevier Inc. 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: 11/22639-8 - Estudo da relação estrutura-dinâmica em redes modulares
• Beneficiário: Cesar Henrique Comin
• Modalidade de apoio: Bolsas no Brasil - Doutorado
• Processo FAPESP: 12/22160-7 - Sincronização de Osciladores de Kuramoto em Redes Complexas
• Beneficiário: Thomas Kaue Dal Maso Peron
• Modalidade de apoio: Bolsas no Brasil - Doutorado
• Processo FAPESP: 12/50986-7 - Graph spectra and complex network evolution
• Beneficiário: Luciano da Fontoura Costa
• Modalidade de apoio: Auxílio à Pesquisa - Regular
• 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