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Paper Abstract and Keywords
Presentation 2017-08-18 14:50
A dynamic programming based algorithm for enumerating unlabeled unrooted trees
Ryuji Masui, Aleksandar Shurbevski, Hiroshi Nagamochi (Kyoto Univ.) COMP2017-17
Abstract (in Japanese) (See Japanese page) 
(in English) We propose a dynamic programming based algorithm for the enumeration of unlabeled and unrooted trees on $n$ vertices. The algorithm generates all such trees without duplication in $O(n)$ time delay per output and $O(n^3)$ space in total. We pre-compute the number of unique trees and define a total order among them. The algorithm generates trees in this order, and achieves high computational efficiency by only updating the different part between two consecutive trees.
Keyword (in Japanese) (See Japanese page) 
(in English) Graph / Algorithm / Enumeration / Tree / Dynamic Programming / / /  
Reference Info. IEICE Tech. Rep., vol. 117, no. 176, COMP2017-17, pp. 33-40, Aug. 2017.
Paper # COMP2017-17 
Date of Issue 2017-08-11 (COMP) 
ISSN Print edition: ISSN 0913-5685  Online edition: ISSN 2432-6380
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 2017-08-18 - 2017-08-18 
Place (in Japanese) (See Japanese page) 
Place (in English)  
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Paper Information
Registration To COMP 
Conference Code 2017-08-COMP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) A dynamic programming based algorithm for enumerating unlabeled unrooted trees 
Sub Title (in English)  
Keyword(1) Graph  
Keyword(2) Algorithm  
Keyword(3) Enumeration  
Keyword(4) Tree  
Keyword(5) Dynamic Programming  
1st Author's Name Ryuji Masui  
1st Author's Affiliation Kyoto University (Kyoto Univ.)
2nd Author's Name Aleksandar Shurbevski  
2nd Author's Affiliation Kyoto University (Kyoto Univ.)
3rd Author's Name Hiroshi Nagamochi  
3rd Author's Affiliation Kyoto University (Kyoto Univ.)
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Date Time 2017-08-18 14:50:00 
Presentation Time 35 
Registration for COMP 
Paper # IEICE-COMP2017-17 
Volume (vol) IEICE-117 
Number (no) no.176 
Page pp.33-40 
#Pages IEICE-8 
Date of Issue IEICE-COMP-2017-08-11 

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