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Generalized minimum spanning tree games

Author

Listed:
  • Phuoc Hoang Le

    (University of Southampton)

  • Tri-Dung Nguyen

    (University of Southampton)

  • Tolga Bektaş

    (University of Southampton)

Abstract

The minimum-cost spanning tree game is a special class of cooperative games defined on a graph with a set of vertices and a set of edges, where each player owns a vertex. Solutions of the game represent ways to distribute the total cost of a minimum-cost spanning tree among all the players. When the graph is partitioned into clusters, the generalized minimum spanning tree problem is to determine a minimum-cost tree including exactly one vertex from each cluster. This paper introduces the generalized minimum spanning tree game and studies some properties of this game. The paper also describes a constraint generation algorithm to calculate a stable payoff distribution and presents computational results obtained using the proposed algorithm.

Suggested Citation

  • Phuoc Hoang Le & Tri-Dung Nguyen & Tolga Bektaş, 2016. "Generalized minimum spanning tree games," EURO Journal on Computational Optimization, Springer;EURO - The Association of European Operational Research Societies, vol. 4(2), pages 167-188, May.
    • Handle: RePEc:spr:eurjco:v:4:y:2016:i:2:d:10.1007_s13675-015-0042-y
    DOI: 10.1007/s13675-015-0042-y
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    References listed on IDEAS

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