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URN: urn:nbn:de:0030-drops-137020
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6-Uniform Maker-Breaker Game Is PSPACE-Complete

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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.

BibTeX - Entry

@InProceedings{rahman_et_al:LIPIcs.STACS.2021.57,
  author =	{Rahman, Md Lutfar and Watson, Thomas},
  title =	{{6-Uniform Maker-Breaker Game Is PSPACE-Complete}},
  booktitle =	{38th International Symposium on Theoretical Aspects of Computer Science (STACS 2021)},
  pages =	{57:1--57:15},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-180-1},
  ISSN =	{1868-8969},
  year =	{2021},
  volume =	{187},
  editor =	{Bl\"{a}ser, Markus and Monmege, Benjamin},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2021/13702},
  URN =		{urn:nbn:de:0030-drops-137020},
  doi =		{10.4230/LIPIcs.STACS.2021.57},
  annote =	{Keywords: Game, Maker-Breaker, Complexity, Reduction, PSPACE-complete, NL-hard}
}

Keywords: Game, Maker-Breaker, Complexity, Reduction, PSPACE-complete, NL-hard
Seminar: 38th International Symposium on Theoretical Aspects of Computer Science (STACS 2021)
Issue date: 2021
Date of publication: 10.03.2021


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