Improvements in performance and security for complex networks

  • Authors:
  • R. Criado;J. Pello;M. Romance;M. Vela-Perez

  • Affiliations:
  • Departamento de Matematica Aplicada, Universidad Rey Juan Carlos, Mostoles, Madrid, Spain;Departamento de Matematica Aplicada, Universidad Rey Juan Carlos, Mostoles, Madrid, Spain;Departamento de Matematica Aplicada, Universidad Rey Juan Carlos, Mostoles, Madrid, Spain;Departamento de Matematica Aplicada, Universidad Rey Juan Carlos, Mostoles, Madrid, Spain

  • Venue:
  • International Journal of Computer Mathematics - RECENT ADVANCES IN COMPUTATIONAL AND APPLIED MATHEMATICS IN SCIENCE AND ENGINEERING
  • Year:
  • 2009

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Abstract

It is important to know how to improve a network when dealing with performance and security. We characterize the optimal design of a network for efficiency or vulnerability giving the extreme networks for those parameters. Moreover, we give an algorithm to improve the vulnerability of a given network when adding a new link. For efficiency, we present two facts that have to be considered in order to improve it when adding a new link, and we calculate bounds for the increment.