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The plurality strategy on graphs

Author

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  • Balakrishnan, K.
  • Changat, M.
  • Mulder, H.M.

Abstract

The Majority Strategy for finding medians of a set of clients on a graph can be relaxed in the following way: if we are at v, then we move to a neighbor w if there are at least as many clients closer to w than to v (thus ignoring the clients at equal distance from v and w). The graphs on which this Plurality Strategy always finds the set of all medians are precisely those for which the set of medians induces always a connected subgraph.

Suggested Citation

  • Balakrishnan, K. & Changat, M. & Mulder, H.M., 2006. "The plurality strategy on graphs," Econometric Institute Research Papers EI 2006-35, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
    • Handle: RePEc:ems:eureir:7976
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    File URL: https://repub.eur.nl/pub/7976/ei2006-35.pdf
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    References listed on IDEAS

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    1. A. J. Goldman, 1971. "Optimal Center Location in Simple Networks," Transportation Science, INFORMS, vol. 5(2), pages 212-221, May.
    2. Pierre Barthelemy, Jean & Monjardet, Bernard, 1981. "The median procedure in cluster analysis and social choice theory," Mathematical Social Sciences, Elsevier, vol. 1(3), pages 235-267, May.
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    Cited by:

    1. Balakrishnan, K. & Changat, M. & Mulder, H.M., 2007. "Median computation in graphs using consensus strategies," Econometric Institute Research Papers EI 2007-34, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.

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