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| Presentation | 2013-09-03 15:35 Finding Maximum Regular Induced Subgraphs with Prescribed Degree Yuichi Asahiro (Kyushu Sangyo Univ.), Takehiro Ito (Tohoku Univ.), Hiroshi Eto, Eiji Miyano (Kyushu Inst. of Tech.)  COMP2013-31 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | We study the problem of finding a maximum vertex-subset $S$ of a given graph $G$ such that the subgraph $G[S]$ induced by $S$ is $r$-regular for a prescribed degree $r ge 0$. We also consider a variant of the problem which requires $G[S]$ to be $r$-regular and connected. Both problems are known to be NP-hard even to approximate for a fixed constant $r$. In this paper, we thus consider the problems whose input graphs are restricted to some special classes of graphs.We first show that the problems are still NP-hard to approximate even if $r$ is a fixed constant and the input graph is either bipartite or planar. On the other hand, both problems are tractable for graphs having tree-like structures, as follows.We give linear-time algorithms to solve the problems for graphs with bounded treewidth; we note that the hidden constant factor of our running time is just a single exponential of the treewidth. Furthermore, both problems are solvable in polynomial time for chordal graphs. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | Regura induced subgraph / planar graph / bipartite graph / chordal graph / bounded treewidth graph / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 113, no. 198, COMP2013-31, pp. 43-50, Sept. 2013. | |
| Paper # | COMP2013-31 | |
| Date of Issue | 2013-08-27 (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 | COMP2013-31 |
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| Conference Information | |
| Committee | COMP |
| Conference Date | 2013-09-03 - 2013-09-03 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Paper Information | |
| Registration To | COMP |
| Conference Code | 2013-09-COMP |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Finding Maximum Regular Induced Subgraphs with Prescribed Degree |
| Sub Title (in English) | |
| Keyword(1) | Regura induced subgraph |
| Keyword(2) | planar graph |
| Keyword(3) | bipartite graph |
| Keyword(4) | chordal graph |
| Keyword(5) | bounded treewidth graph |
| Keyword(6) | |
| Keyword(7) | |
| Keyword(8) | |
| 1st Author's Name | Yuichi Asahiro |
| 1st Author's Affiliation | Kyushu Sangyo University (Kyushu Sangyo Univ.) |
| 2nd Author's Name | Takehiro Ito |
| 2nd Author's Affiliation | Tohoku University (Tohoku Univ.) |
| 3rd Author's Name | Hiroshi Eto |
| 3rd Author's Affiliation | Kyushu Institute of Technology (Kyushu Inst. of Tech.) |
| 4th Author's Name | Eiji Miyano |
| 4th Author's Affiliation | Kyushu Institute of Technology (Kyushu Inst. of Tech.) |
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| Speaker | Author-2 |
| Date Time | 2013-09-03 15:35:00 |
| Presentation Time | 35 minutes |
| Registration for | COMP |
| Paper # | COMP2013-31 |
| Volume (vol) | vol.113 |
| Number (no) | no.198 |
| Page | pp.43-50 |
| #Pages | 8 |
| Date of Issue | 2013-08-27 (COMP) |
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