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Median computation in graphs using consensus strategies

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

Abstract

Following the Majority Strategy in graphs, other consensus strategies, namely Plurality Strategy, Hill Climbing and Steepest Ascent Hill Climbing strategies on graphs are discussed as methods for the computation of median sets of profiles. A review of algorithms for median computation on median graphs is discussed and their time complexities are compared. Implementation of the consensus strategies on median computation in arbitrary graphs is discussed.

Suggested Citation

  • 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.
    • Handle: RePEc:ems:eureir:10556
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    References listed on IDEAS

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    1. Bandelt, Hans-Jurgen, 1985. "Networks with condorcet solutions," European Journal of Operational Research, Elsevier, vol. 20(3), pages 314-326, June.
    2. A. J. Goldman, 1971. "Optimal Center Location in Simple Networks," Transportation Science, INFORMS, vol. 5(2), pages 212-221, May.
    3. 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.
    4. 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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