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Paper Abstract and Keywords
Presentation 2018-09-18 15:20
Enumeration and Random Sampling of Nonisomorphic Two-Terminal Series-Parallel Graphs
Shuhei Denzumi (UTokyo), Takashi Horiyama (Saitama Univ.), Kazuhiro Kurita (Hokudai), Yu Nakahata (NAIST), Hirofumi Suzuki (Hokudai), Kunihiro Wasa (NII), Kazuaki Yamazaki (JAIST) COMP2018-17
Abstract (in Japanese) (See Japanese page) 
(in English) A graph $G$ is a two-terminal series-parallel graph if (1) $G$ consists of two vertices and an edge between them or (2) $G$ is generated by the following two operations: ($S$ operation) connecting a pair of two-terminal series-parallel graphs in series, and ($P$ operation) connecting a pair of two-terminal series-parallel graphs in parallel. In this paper, given a natural number $n$, we show a recurrence formula for obtaining the set of two-terminal series-parallel graphs with $n$ edges. Moreover, by using the formula, we develop algorithms for enumerating solutions and outputting a two-terminal series-parallel graph randomly. Both algorithms run in polynomial time and space per solution.
Keyword (in Japanese) (See Japanese page) 
(in English) Enumeration / two-terminal series-parallel graphs / random sampling / polynomial delay / / / /  
Reference Info. IEICE Tech. Rep., vol. 118, no. 216, COMP2018-17, pp. 55-62, Sept. 2018.
Paper # COMP2018-17 
Date of Issue 2018-09-11 (COMP) 
ISSN 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 2018-09-18 - 2018-09-18 
Place (in Japanese) (See Japanese page) 
Place (in English) Kyusyu Institute of Technology 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To COMP 
Conference Code 2018-09-COMP 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Enumeration and Random Sampling of Nonisomorphic Two-Terminal Series-Parallel Graphs 
Sub Title (in English)  
Keyword(1) Enumeration  
Keyword(2) two-terminal series-parallel graphs  
Keyword(3) random sampling  
Keyword(4) polynomial delay  
1st Author's Name Shuhei Denzumi  
1st Author's Affiliation The University of Tokyo (UTokyo)
2nd Author's Name Takashi Horiyama  
2nd Author's Affiliation Saitama University (Saitama Univ.)
3rd Author's Name Kazuhiro Kurita  
3rd Author's Affiliation Hokkaido University (Hokudai)
4th Author's Name Yu Nakahata  
4th Author's Affiliation Nara Institute of Science and Technology (NAIST)
5th Author's Name Hirofumi Suzuki  
5th Author's Affiliation Hokkaido University (Hokudai)
6th Author's Name Kunihiro Wasa  
6th Author's Affiliation National Institute of Informatics (NII)
7th Author's Name Kazuaki Yamazaki  
7th Author's Affiliation Japan Advanced Institute of Science and Technology (JAIST)
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Speaker Author-6 
Date Time 2018-09-18 15:20:00 
Presentation Time 25 minutes 
Registration for COMP 
Paper # COMP2018-17 
Volume (vol) vol.118 
Number (no) no.216 
Page pp.55-62 
Date of Issue 2018-09-11 (COMP) 

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