Beta Current Flow Centrality for Weighted Networks

  • Konstantin E. AvrachenkovEmail author
  • Vladimir V. Mazalov
  • Bulat T. Tsynguev
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9197)


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.


Beta current flow centrality Betweenness centrality Pagerank Weighted graph Social networks 


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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Konstantin E. Avrachenkov
    • 1
    Email author
  • Vladimir V. Mazalov
    • 2
  • Bulat T. Tsynguev
    • 3
  1. 1.INRIASophia-AntipolisFrance
  2. 2.Institute of Applied Mathematical Research, Karelian Research CenterRussian Academy of SciencesPetrozavodskRussia
  3. 3.Transbaikal State UniversityChitaRussia

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