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Paper Abstract and Keywords
Presentation 2008-12-03 11:30
A Simple Generation of Multi-dimensional Partitions
Yosuke Kikuchi (Tsuyama National Coll. Tech.), Katsuhisa Yamanaka (The University of Electro-Communications), Shin-ichi Nakano (Gunma Univ.) COMP2008-49
Abstract (in Japanese) (See Japanese page) 
(in English) This paper gives a simple algorithm to generate all multi-dimensional partitions of a positive integer N. The problem is one of the basic problems in combinatorics, and it includes generations of integer partitions and plane partitions. For a given integer $d$ as dimension, our algorithm generates each partition of a given integer in O(d) time for each without repetition. The known algorithm is complicated and includes many "goto" statements, while our algorithm is simple and efficient. Also, we propose an algorithm to generate all exactly d-dimensional partition in $O(d)$ time for each.
Keyword (in Japanese) (See Japanese page) 
(in English) algorithm / generation / multi-dimensional partition / family tree / / / /  
Reference Info. IEICE Tech. Rep., vol. 108, no. 330, COMP2008-49, pp. 23-29, Dec. 2008.
Paper # COMP2008-49 
Date of Issue 2008-11-26 (COMP) 
ISSN Print edition: ISSN 0913-5685    Online edition: ISSN 2432-6380
Copyright
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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 COMP  
Conference Date 2008-12-03 - 2008-12-03 
Place (in Japanese) (See Japanese page) 
Place (in English) Gunma Univ. 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To COMP 
Conference Code 2008-12-COMP 
Language English (Japanese title is available) 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) A Simple Generation of Multi-dimensional Partitions 
Sub Title (in English)  
Keyword(1) algorithm  
Keyword(2) generation  
Keyword(3) multi-dimensional partition  
Keyword(4) family tree  
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1st Author's Name Yosuke Kikuchi  
1st Author's Affiliation Tsuyama National College of Technology (Tsuyama National Coll. Tech.)
2nd Author's Name Katsuhisa Yamanaka  
2nd Author's Affiliation The University of Electro-Communications (The University of Electro-Communications)
3rd Author's Name Shin-ichi Nakano  
3rd Author's Affiliation Gunma University (Gunma Univ.)
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Speaker Author-2 
Date Time 2008-12-03 11:30:00 
Presentation Time 35 minutes 
Registration for COMP 
Paper # COMP2008-49 
Volume (vol) vol.108 
Number (no) no.330 
Page pp.23-29 
#Pages
Date of Issue 2008-11-26 (COMP) 


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