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Herugolf and Makaro are NP-complete

Authors: Chuzo Iwamoto, Masato Haruishi, and Tatsuaki Ibusuki

Published in: LIPIcs, Volume 100, 9th International Conference on Fun with Algorithms (FUN 2018)


Abstract
Herugolf and Makaro are Nikoli's pencil puzzles. We study the computational complexity of Herugolf and Makaro puzzles. It is shown that deciding whether a given instance of each puzzle has a solution is NP-complete.

Cite as

Chuzo Iwamoto, Masato Haruishi, and Tatsuaki Ibusuki. Herugolf and Makaro are NP-complete. In 9th International Conference on Fun with Algorithms (FUN 2018). Leibniz International Proceedings in Informatics (LIPIcs), Volume 100, pp. 24:1-24:11, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2018)


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@InProceedings{iwamoto_et_al:LIPIcs.FUN.2018.24,
  author =	{Iwamoto, Chuzo and Haruishi, Masato and Ibusuki, Tatsuaki},
  title =	{{Herugolf and Makaro are NP-complete}},
  booktitle =	{9th International Conference on Fun with Algorithms (FUN 2018)},
  pages =	{24:1--24:11},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-067-5},
  ISSN =	{1868-8969},
  year =	{2018},
  volume =	{100},
  editor =	{Ito, Hiro and Leonardi, Stefano and Pagli, Linda and Prencipe, Giuseppe},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.FUN.2018.24},
  URN =		{urn:nbn:de:0030-drops-88159},
  doi =		{10.4230/LIPIcs.FUN.2018.24},
  annote =	{Keywords: Herugolf, Makaro, pencil puzzle, NP-complete}
}
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