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Please use this identifier to cite or link to this item: http://hdl.handle.net/10119/10710

Title: NP-completeness of generalized Kaboozle
Authors: Asano, Tetsuo
Demaine, Erik D.
Demaine, Martin L.
Uehara, Ryuhei
Keywords: Kaboozle
NP-completeness
origami
paper folding puzzle
silhouette puzzle
Issue Date: 2012-07-15
Publisher: 情報処理学会
Magazine name: Journal of Information Processing
Volume: 20
Number: 3
Start page: 713
End page: 718
DOI: 10.2197/ipsjjip.20.713
Abstract: Kaboozle is a puzzle consisting of several square cards, each annotated with colored paths and dots drawn on both sides and holes drilled. The goal is to join two colored dots with paths of the same color (and fill all holes) by stacking the cards suitably. The freedoms here are to reflect, rotate, and order the cards arbitrarily, so it is not surprising that the problem is NP-complete (as we show). More surprising is that any one of these freedoms — reflection, rotation, and order — is alone enough to make the puzzle NP-complete. Furthermore, we show NP-completeness of a particularly constrained form of Kaboozle related to 1D paper folding. Specifically, we suppose that the cards are glued together into a strip, where each glued edge has a specified folding direction (mountain or valley). This variation removes the ability to rotate and reflect cards, and restricts the order to be a valid folded state of a given 1D mountain-valley pattern.
Rights: 社団法人 情報処理学会, Tetsuo Asano, Erik D. Demaine, Martin L. Demaine, and Ryuhei Uehara, Journal of Information Processing, 20(3), 2012, 713-718. ここに掲載した著作物の利用に関する注意: 本著作物の著作権は(社)情報処理学会に帰属します。本著作物は著作権者である情報処理学会の許可のもとに掲載するものです。ご利用に当たっては「著作権法」ならびに「情報処理学会倫理綱領」に従うことをお願いいたします。 Notice for the use of this material: The copyright of this material is retained by the Information Processing Society of Japan (IPSJ). This material is published on this web site with the agreement of the author (s) and the IPSJ. Please be complied with Copyright Law of Japan and the Code of Ethics of the IPSJ if any users wish to reproduce, make derivative work, distribute or make available to the public any part or whole thereof. All Rights Reserved, Copyright (C) Information Processing Society of Japan.
URI: http://hdl.handle.net/10119/10710
Material Type: publisher
Appears in Collections:b10-1. 雑誌掲載論文 (Journal Articles)

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