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| Presentation | 2017-03-07 11:00 Recognizing Simple-Triangle Graphs by Restricted 2-Chain Subgraph Cover Asahi Takaoka (Kanagawa Univ.)  COMP2016-51 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | A simple-triangle graph (also known as a PI graph) is the intersection graph of a family of triangles defined by a point on a horizontal line and an interval on another horizontal line. The recognition problem for simple-triangle graphs was a longstanding open problem, and recently a polynomial-time algorithm has been given [G. B. Mertzios, The Recognition of Simple-Triangle Graphs and of Linear-Interval Orders is Polynomial, SIAM J. Discrete Math., 29(3):1150--1185, 2015]. Along with the approach of this paper, we show a simpler recognition algorithm for simple-triangle graphs. To do this, we provide a polynomial-time algorithm to solve the following problem: Given a bipartite graph $G$ and a set $F$ of edges of $G$, find a 2-chain subgraph cover of $G$ such that one of two chain subgraphs has no edges in $F$. This paper is an extended abstract, and some proofs are omitted. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | Chain cover / Graph sandwich problem / PI graphs / Simple-triangle graphs / Threshold dimension 2 graphs / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 116, no. 503, COMP2016-51, pp. 5-9, March 2017. | |
| Paper # | COMP2016-51 | |
| Date of Issue | 2017-02-28 (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) | |
| Download PDF | COMP2016-51 |
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| Conference Information | |
| Committee | COMP |
| Conference Date | 2017-03-07 - 2017-03-07 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Nanzan University |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Paper Information | |
| Registration To | COMP |
| Conference Code | 2017-03-COMP |
| Language | English |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Recognizing Simple-Triangle Graphs by Restricted 2-Chain Subgraph Cover |
| Sub Title (in English) | |
| Keyword(1) | Chain cover |
| Keyword(2) | Graph sandwich problem |
| Keyword(3) | PI graphs |
| Keyword(4) | Simple-triangle graphs |
| Keyword(5) | Threshold dimension 2 graphs |
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| Keyword(8) | |
| 1st Author's Name | Asahi Takaoka |
| 1st Author's Affiliation | Kanagawa University (Kanagawa Univ.) |
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| Speaker | Author-1 |
| Date Time | 2017-03-07 11:00:00 |
| Presentation Time | 30 minutes |
| Registration for | COMP |
| Paper # | COMP2016-51 |
| Volume (vol) | vol.116 |
| Number (no) | no.503 |
| Page | pp.5-9 |
| #Pages | 5 |
| Date of Issue | 2017-02-28 (COMP) |
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