Generalized minimum spanning tree games
Generalized minimum spanning tree games
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
1-22
Le, P.
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Nguyen, T.-D.
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Bektas, T.
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Le, P.
70c6e39a-4046-48e4-94f0-eab08c73882b
Nguyen, T.-D.
a6aa7081-6bf7-488a-b72f-510328958a8e
Bektas, T.
0db10084-e51c-41e5-a3c6-417e0d08dac9
Le, P., Nguyen, T.-D. and Bektas, T.
(2015)
Generalized minimum spanning tree games.
EURO Journal on Computational Optimization, .
(doi:10.1007/s13675-015-0042-y).
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
Text
EJCO 27-05.pdf
- Accepted Manuscript
More information
Accepted/In Press date: 17 July 2015
e-pub ahead of print date: 22 August 2015
Organisations:
Southampton Business School
Identifiers
Local EPrints ID: 379367
URI: http://eprints.soton.ac.uk/id/eprint/379367
ISSN: 2192-4406
PURE UUID: 79021277-f62e-4ffc-ba7e-3dd08c800bc3
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Date deposited: 24 Jul 2015 13:33
Last modified: 15 Mar 2024 03:37
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Contributors
Author:
T.-D. Nguyen
Author:
T. Bektas
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