Generalized connectivity between any two nodes in a complex network

Francisco Aparecido Rodrigues and Luciano da Fontoura Costa
Phys. Rev. E 81, 036113 – Published 22 March 2010

Abstract

This article focuses on the identification of the number of paths with different lengths between pairs of nodes in complex networks and how these paths can be used for characterization of topological properties of theoretical and real-world complex networks. This analysis revealed that the number of paths can provide a better discrimination of network models than traditional network measurements. In addition, the analysis of real-world networks suggests that the long-range connectivity tends to be limited in these networks and may be strongly related to network growth and organization.

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  • Received 6 March 2009

DOI:https://doi.org/10.1103/PhysRevE.81.036113

©2010 American Physical Society

Authors & Affiliations

Francisco Aparecido Rodrigues*

  • Departamento de Matemática Aplicada e Estatística, Instituto de Ciências Matemáticas e de Computação, Universidade de São Paulo-Campus de São Carlos, Caixa Postal 668, 13560-970, São Carlos, SP, Brazil

Luciano da Fontoura Costa

  • Instituto de Física de São Carlos, Universidade de São Paulo, Av. Trabalhador São Carlense 400, Caixa Postal 369, CEP 13560–970 São Carlos, São Paulo, Brazil and National Institute of Science and Technology for Complex Systems, Rua Dr. Xavier Sigaud-150 Urca, Rio de Janeiro, Brazil

  • *francisco@icmc.usp.br
  • luciano@if.sc.usp.br

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Vol. 81, Iss. 3 — March 2010

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