License: Creative Commons Attribution 3.0 Unported license (CC-BY 3.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.FUN.2016.18
URN: urn:nbn:de:0030-drops-58709
URL: https://drops.dagstuhl.de/opus/volltexte/2016/5870/
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GualĂ , Luciano ; Leucci, Stefano ; Natale, Emanuele ; Tauraso, Roberto

Large Peg-Army Maneuvers

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Abstract

Despite its long history, the classical game of peg solitaire continues to attract the attention of the scientific community. In this paper, we consider two problems with an algorithmic flavour which are related with this game, namely Solitaire-Reachability and Solitaire-Army. In the first one, we show that deciding whether there is a sequence of jumps which allows a given initial configuration of pegs to reach a target position is NP-complete. Regarding Solitaire-Army, the aim is to successfully deploy an army of pegs in a given region of the board in order to reach a target position. By solving an auxiliary problem with relaxed constraints, we are able to answer some open questions raised by Csakany and Juhasz (Mathematics Magazine, 2000).

BibTeX - Entry

@InProceedings{gual_et_al:LIPIcs:2016:5870,
  author =	{Luciano Gual{\`a} and Stefano Leucci and Emanuele Natale and Roberto Tauraso},
  title =	{{Large Peg-Army Maneuvers}},
  booktitle =	{8th International Conference on Fun with Algorithms (FUN 2016)},
  pages =	{18:1--18:15},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-005-7},
  ISSN =	{1868-8969},
  year =	{2016},
  volume =	{49},
  editor =	{Erik D. Demaine and Fabrizio Grandoni},
  publisher =	{Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2016/5870},
  URN =		{urn:nbn:de:0030-drops-58709},
  doi =		{10.4230/LIPIcs.FUN.2016.18},
  annote =	{Keywords: Complexity of Games, Solitaire Army}
}

Keywords: Complexity of Games, Solitaire Army
Collection: 8th International Conference on Fun with Algorithms (FUN 2016)
Issue Date: 2016
Date of publication: 02.06.2016


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