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| 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 |
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| 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 | |
| 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) | |
| Download PDF | COMP2018-17 |
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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 |
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| 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 |
| #Pages | 8 |
| Date of Issue | 2018-09-11 (COMP) |
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