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 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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COMP2008-49 |
Conference Information |
Committee |
COMP |
Conference Date |
2008-12-03 - 2008-12-03 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Gunma Univ. |
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(See Japanese page) |
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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) |
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algorithm |
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generation |
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multi-dimensional partition |
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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 |
7 |
Date of Issue |
2008-11-26 (COMP) |
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