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Paper Abstract and Keywords
Presentation 2019-05-10 15:40
On the Complexity of Lattice Puzzle:
Yasuaki Kobayashi, Koki Suetsugu, Hideki Tsuiki (Kyoto Univ), Ryuhei Uehara (JAIST) COMP2019-2
Abstract (in Japanese) (See Japanese page) 
(in English) In this paper, we investigate the computational complexity of lattice puzzle, which is one of the traditional puzzles.
A lattice puzzle consists of $2n$ plates with some slits, and the goal of this puzzle is to assemble them to
form a lattice of size $ntimes n$. It has a long history in the puzzle society; however,
there is no known research from the viewpoint of theoretical computer science.
This puzzle has some natural variants, and they characterize representative computational complexity classes
in the class NP. Especially, one of natural variants gives a characterization of
the graph isomorphism problem. That is, the variant is GI-complete in general.
As far as the authors know, this is the first non-trivial GI-complete problem
characterized by a classic puzzle.
Like the sliding block puzzles, this simple puzzle can be used to characterize several representative
computational complexity classes.
That is, it gives us new insight of these computational complexity classes.
Keyword (in Japanese) (See Japanese page) 
(in English) lattice puzzle / NP-completeness / GI-completeness / FPT algorithm / / / /  
Reference Info. IEICE Tech. Rep., vol. 119, no. 21, COMP2019-2, pp. 15-22, May 2019.
Paper # COMP2019-2 
Date of Issue 2019-05-03 (COMP) 
ISSN Print edition: ISSN 0913-5685  Online edition: ISSN 2432-6380
Copyright
and
reproduction
All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (No. 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
Download PDF COMP2019-2

Conference Information
Committee COMP IPSJ-AL  
Conference Date 2019-05-10 - 2019-05-11 
Place (in Japanese) (See Japanese page) 
Place (in English) Kumamoto University 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To COMP 
Conference Code 2019-05-COMP-AL 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) On the Complexity of Lattice Puzzle: 
Sub Title (in English)  
Keyword(1) lattice puzzle  
Keyword(2) NP-completeness  
Keyword(3) GI-completeness  
Keyword(4) FPT algorithm  
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1st Author's Name Yasuaki Kobayashi  
1st Author's Affiliation Kyoto University (Kyoto Univ)
2nd Author's Name Koki Suetsugu  
2nd Author's Affiliation Kyoto University (Kyoto Univ)
3rd Author's Name Hideki Tsuiki  
3rd Author's Affiliation Kyoto University (Kyoto Univ)
4th Author's Name Ryuhei Uehara  
4th Author's Affiliation Japan Advanced Institute of Science and Technology (JAIST)
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Speaker
Date Time 2019-05-10 15:40:00 
Presentation Time 25 
Registration for COMP 
Paper # IEICE-COMP2019-2 
Volume (vol) IEICE-119 
Number (no) no.21 
Page pp.15-22 
#Pages IEICE-8 
Date of Issue IEICE-COMP-2019-05-03 


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