Affordable Access

Beta Current Flow Centrality for Weighted Networks

Authors
  • Avrachenkov, Konstantin
  • Mazalov, Vladimir
  • Tsynguev, Bulat
Publication Date
Aug 04, 2015
Source
HAL-UPMC
Keywords
Language
English
License
Unknown
External links

Abstract

Betweenness centrality is one of the basic concepts in the analysis of social networks. Initial definition for the betweenness of a node in a graph is based on the fraction of the number of geodesics (shortest paths) between any two nodes that given node lies on, to the total number of the shortest paths connecting these nodes. This method has quadratic complexity and does not take into account indirect paths. We propose a new concept of betweenness centrality for weighted network , beta current flow centrality, based on Kirchhoff's law for electric circuits. In comparison with the original current flow centrality and alpha current flow centrality, this new measure can be computed for larger networks. The results of numerical experiments for some examples of networks , in particular, for the popular social network VKontakte as well as the comparison with PageRank method are presented.

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