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arXiv · 1510.00140

Complexity of the Game Domination Problem

Boštjan Brešar·Paul Dorbec·Sandi Klavžar·Gašper Košmrlj·Gabriel Renault
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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.

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Boštjan Brešar, Paul Dorbec, Sandi Klavžar, Gašper Košmrlj, Gabriel Renault. 2016-06-17. Complexity of the Game Domination Problem. https://arxiv.org/abs/1510.00140

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