Analytical relationships between metric and centrality measures of a network and its dual

  • Authors:

  • R. Criado;J. Flores;A. García del Amo;M. Romance

  • Affiliations:

  • -;-;-;-

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2011

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Abstract

The centrality and efficiency measures of a network G are strongly related to the respective measures on the dual G^@? and the bipartite B(G) associated networks. We show some relationships between the Bonacich centralities c(G), c(G^@?) and c(B(G)) and between the efficiencies E(G) and E(G^@?) and we compute the behavior of these parameters in some examples.