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arXiv · 1911.10363

Hardness of some variants of the graph coloring game

Thiago Marcilon·Nicolas Martins·Rudini Sampaio
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Abstract

Very recently, a long-standing open question proposed by Bodlaender in 1991 was answered: the graph coloring game is PSPACE-complete. In 2019, Andres and Lock proposed five variants of the graph coloring game and left open the question of PSPACE-hardness related to them. In this paper, we prove that these variants are PSPACE-complete for the graph coloring game and also for the greedy coloring game, even if the number of colors is the chromatic number. Finally, we also prove that a connected version of the graph coloring game, proposed by Charpentier et al. in 2019, is PSPACE-complete.

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Thiago Marcilon, Nicolas Martins, Rudini Sampaio. 2019-11-23. Hardness of some variants of the graph coloring game. https://arxiv.org/abs/1911.10363

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