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Arboricity games: the core and the nucleolus

Xiao, Han et al.
arXiv (All) · Papers
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05c57computer-science-and-game-theorydiscrete-mathematics
The arboricity of a graph is the minimum number of forests required to cover all its edges. In this paper, we examine arboricity from a game-theoretic perspective and investigate cost-sharing in the minimum forest cover problem. We introduce the arboricity game as a cooperative cost game defined on
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