Centrality Measures Based on Current Flow

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DIEKERT, Volker, ed., Bruno DURAND, ed.. STACS 2005. Berlin, Heidelberg: Springer Berlin Heidelberg, 2005, pp. 533-544. Lecture Notes in Computer Science. 3404. ISBN 978-3-540-24998-6. Available under: doi: 10.1007/978-3-540-31856-9_44
Zusammenfassung

We consider variations of two well-known centrality measures, betweenness and closeness, witha 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 bothmeasures exactly. Since running times and space requirements are prohibitive for large networks, we also present a randomized approximation scheme for current-flow betweenness.

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ISO 690BRANDES, Ulrik, Daniel FLEISCHER, 2005. Centrality Measures Based on Current Flow. In: DIEKERT, Volker, ed., Bruno DURAND, ed.. STACS 2005. Berlin, Heidelberg: Springer Berlin Heidelberg, 2005, pp. 533-544. Lecture Notes in Computer Science. 3404. ISBN 978-3-540-24998-6. Available under: doi: 10.1007/978-3-540-31856-9_44
BibTex
@inproceedings{Brandes2005Centr-5680,
  year={2005},
  doi={10.1007/978-3-540-31856-9_44},
  title={Centrality Measures Based on Current Flow},
  number={3404},
  isbn={978-3-540-24998-6},
  publisher={Springer Berlin Heidelberg},
  address={Berlin, Heidelberg},
  series={Lecture Notes in Computer Science},
  booktitle={STACS 2005},
  pages={533--544},
  editor={Diekert, Volker and Durand, Bruno},
  author={Brandes, Ulrik and Fleischer, Daniel}
}
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