Centrality measures based on current flow

  • Authors:
  • Ulrik Brandes;Daniel Fleischer

  • Affiliations:
  • Department of Computer & Information Science, University of Konstanz;Department of Computer & Information Science, University of Konstanz

  • Venue:
  • STACS'05 Proceedings of the 22nd annual conference on Theoretical Aspects of Computer Science
  • Year:
  • 2005

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Abstract

We consider variations of two well-known centrality measures, betweenness and closeness, with a different model of information spread. Rather than along shortest paths only, it is assumed that information spreads efficiently like an electrical current. We prove that the current-flow variant of closeness centrality is identical with another known measure, information centrality, and give improved algorithms for computing both measures exactly. Since running times and space requirements are prohibitive for large networks, we also present a randomized approximation scheme for current-flow betweenness.