On the cores of games arising from integer edge covering functions of graphs

Boram Park, Suh-Ryung Kim () and Hye Kyung Kim
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Boram Park: Rutgers University
Suh-Ryung Kim: Seoul National University
Hye Kyung Kim: Catholic University of Daegu

Journal of Combinatorial Optimization, 2013, vol. 26, issue 4, No 10, 786-798

Abstract: Abstract In this paper, we study cooperative games arising from integer edge covering problems on graphs. We introduce two games, a rigid k-edge covering game and its relaxed game, as generalizations of a rigid edge covering game and its relaxed game studied by Liu and Fang (2007). Then we give a characterization of the cores of both games, find relationships between them, and give necessary and sufficient conditions for the balancedness of a rigid k-edge covering game and its relaxed game.

Keywords: Integer edge covering problems on graphs; Integer edge covering functions of graphs; Edge covering problems; Decomposition theorems (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s10878-012-9484-9

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