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Paper Abstract and Keywords
Presentation 2014-10-16 10:15
Enumerating and Indexing of Polyiamonds for p6 Tiling by Using ZDDs
Tomoki Nozawa, Toshihiko Takahashi (Niigata Univ.) CAS2014-54 NLP2014-48
Abstract (in Japanese) (See Japanese page) 
(in English) A p6 tiling is a plane tiling by 6-fold rotational copies of a single figure.
A polyiamond or n-iamond is a figure consisting of n equilateral triangles joined at their edges. Yamane and Horiyama developed an algorithm generating polyiamonds for p6 tiling by using reverse search.
In this paper, we propose an algorithm for enumerating and indexing all n-iamonds for p6 tiling by using Zero-Suppressed BDDs (ZDDs).
The algorithm has enumerated all polyiamonds for p6 tiling up to n=21.
Keyword (in Japanese) (See Japanese page) 
(in English) tiling / polyiamond / enumeration / indexing / Zero-Suppressed BDD / / /  
Reference Info. IEICE Tech. Rep., vol. 114, no. 249, CAS2014-54, pp. 17-22, Oct. 2014.
Paper # CAS2014-54 
Date of Issue 2014-10-09 (CAS, NLP) 
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. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
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Conference Information
Committee NLP CAS  
Conference Date 2014-10-16 - 2014-10-17 
Place (in Japanese) (See Japanese page) 
Place (in English) Ehime University 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Nonlinear Problems, etc. 
Paper Information
Registration To CAS 
Conference Code 2014-10-NLP-CAS 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Enumerating and Indexing of Polyiamonds for p6 Tiling by Using ZDDs 
Sub Title (in English)  
Keyword(1) tiling  
Keyword(2) polyiamond  
Keyword(3) enumeration  
Keyword(4) indexing  
Keyword(5) Zero-Suppressed BDD  
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1st Author's Name Tomoki Nozawa  
1st Author's Affiliation Niigata University (Niigata Univ.)
2nd Author's Name Toshihiko Takahashi  
2nd Author's Affiliation Niigata University (Niigata Univ.)
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Speaker Author-1 
Date Time 2014-10-16 10:15:00 
Presentation Time 20 minutes 
Registration for CAS 
Paper # CAS2014-54, NLP2014-48 
Volume (vol) vol.114 
Number (no) no.249(CAS), no.250(NLP) 
Page pp.17-22 
#Pages 6 
Date of Issue 2014-10-09 (CAS, NLP) 

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