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  1. 論文誌(ジャーナル)
  2. Vol.56
  3. No.5

Fillmat is NP-Complete and ASP-Complete

https://ipsj.ixsq.nii.ac.jp/records/142073
https://ipsj.ixsq.nii.ac.jp/records/142073
2060d91d-8c53-40f8-b3d1-a128e9139023
名前 / ファイル ライセンス アクション
IPSJ-JNL5605013.pdf IPSJ-JNL5605013 (2.0 MB)
Copyright (c) 2015 by the Information Processing Society of Japan
オープンアクセス
Item type Journal(1)
公開日 2015-05-15
タイトル
タイトル Fillmat is NP-Complete and ASP-Complete
タイトル
言語 en
タイトル Fillmat is NP-Complete and ASP-Complete
言語
言語 eng
キーワード
主題Scheme Other
主題 [特集:娯楽の離散数理] computational complexity, NP-completeness, ASP-completeness, pencil-and-paper puzzle, Fillmat
資源タイプ
資源タイプ識別子 http://purl.org/coar/resource_type/c_6501
資源タイプ journal article
著者所属
Osaka Electro-Communication University
著者所属
Osaka Electro-Communication University
著者所属(英)
en
Osaka Electro-Communication University
著者所属(英)
en
Osaka Electro-Communication University
著者名 Uejima, Akihiro

× Uejima, Akihiro

Uejima, Akihiro

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Suzuki, Hiroaki

× Suzuki, Hiroaki

Suzuki, Hiroaki

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著者名(英) Uejima, Akihiro

× Uejima, Akihiro

en Uejima, Akihiro

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Suzuki, Hiroaki

× Suzuki, Hiroaki

en Suzuki, Hiroaki

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論文抄録
内容記述タイプ Other
内容記述 We study the computational complexity of a packing puzzle Fillmat, which is a type of pencil-and-paper puzzles made by Japanese puzzle publisher Nikoli. We show that the problem to decide if a given instance of Fillmat has a solution is NP-complete by a reduction from the circuit-satisfiability problem (Circuit-SAT). Our reduction is carefully designed so that we can also prove \textbf{ASP}-completeness of the another-solution-problem.

------------------------------
This is a preprint of an article intended for publication Journal of
Information Processing(JIP). This preprint should not be cited. This
article should be cited as: Journal of Information Processing Vol.23(2015) No.3 (online)
DOI http://dx.doi.org/10.2197/ipsjjip.23.310
------------------------------
論文抄録(英)
内容記述タイプ Other
内容記述 We study the computational complexity of a packing puzzle Fillmat, which is a type of pencil-and-paper puzzles made by Japanese puzzle publisher Nikoli. We show that the problem to decide if a given instance of Fillmat has a solution is NP-complete by a reduction from the circuit-satisfiability problem (Circuit-SAT). Our reduction is carefully designed so that we can also prove \textbf{ASP}-completeness of the another-solution-problem.

------------------------------
This is a preprint of an article intended for publication Journal of
Information Processing(JIP). This preprint should not be cited. This
article should be cited as: Journal of Information Processing Vol.23(2015) No.3 (online)
DOI http://dx.doi.org/10.2197/ipsjjip.23.310
------------------------------
書誌レコードID
収録物識別子タイプ NCID
収録物識別子 AN00116647
書誌情報 情報処理学会論文誌

巻 56, 号 5, 発行日 2015-05-15
ISSN
収録物識別子タイプ ISSN
収録物識別子 1882-7764
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