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Complexity of the Game Domination Problem (1510.00140v2)
Published 1 Oct 2015 in math.CO and cs.CC
Abstract: The game domination number is a graph invariant that arises from a game, which is related to graph domination in a similar way as the game chromatic number is related to graph coloring. In this paper we show that verifying whether the game domination number of a graph is bounded by a given integer is PSPACE-complete. This contrasts the situation of the game coloring problem whose complexity is still unknown.