Title

6-Uniform maker-breaker game is PSPACE-complete

Abstract

In a STOC 1976 paper, Schaefer proved that it is PSPACE-complete to determine the winner of the so-called Maker-Breaker game on a given set system, even when every set has size at most 11. Since then, there has been no improvement on this result. We prove that the game remains PSPACE-complete even when every set has size 6.

Publication Title

Leibniz International Proceedings in Informatics, LIPIcs

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