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| Presentation | 2013-12-21 16:05 Approximability of graph orientation problems with degree constraints Yuichi Asahiro (Kyushu Sangyo Univ.), Jesper Jansson (Kyoto Univ.), Eiji Miyano (Kyushu Institute of Technology), Hirotaka Ono (Kyushu Univ.)  COMP2013-58 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | A degree-constrained graph orientation of an undirected graph is an assignment of a direction to each edge in the graph such that the outdegree of every vertex in the resulting directed graph satisfies a prescribed lower and/or upper bound. Such graph orientations have been studied in many literatures and various characterizations are known. We consider two related optimization problems introduced in [3]: For any fixed non-negative integer W, the problem Max W-Light (or Min W-Heavy) takes as input an undirected graph G and ask for an orientation of G that maximizes (or minimizes) the number of vertices with outdegree at most W (or at least W). The problems’ computational complexities vary with W. In this paper we show several results related to their polynomial-time approximability. |
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| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | graph orientation / degree / greedy algorithm / (in)approximability / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 113, no. 371, COMP2013-58, pp. 123-130, Dec. 2013. | |
| Paper # | COMP2013-58 | |
| Date of Issue | 2013-12-13 (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 | COMP2013-58 |
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| Conference Information | |
| Committee | COMP |
| Conference Date | 2013-12-20 - 2013-12-21 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Okinawa Industry Support Center |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Paper Information | |
| Registration To | COMP |
| Conference Code | 2013-12-COMP |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Approximability of graph orientation problems with degree constraints |
| Sub Title (in English) | |
| Keyword(1) | graph orientation |
| Keyword(2) | degree |
| Keyword(3) | greedy algorithm |
| Keyword(4) | (in)approximability |
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| 1st Author's Name | Yuichi Asahiro |
| 1st Author's Affiliation | Kyushu Sangyo University (Kyushu Sangyo Univ.) |
| 2nd Author's Name | Jesper Jansson |
| 2nd Author's Affiliation | Kyoto University (Kyoto Univ.) |
| 3rd Author's Name | Eiji Miyano |
| 3rd Author's Affiliation | Kyushu Institute of Technology (Kyushu Institute of Technology) |
| 4th Author's Name | Hirotaka Ono |
| 4th Author's Affiliation | Kyushu University (Kyushu Univ.) |
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| Speaker | Author-1 |
| Date Time | 2013-12-21 16:05:00 |
| Presentation Time | 25 minutes |
| Registration for | COMP |
| Paper # | COMP2013-58 |
| Volume (vol) | vol.113 |
| Number (no) | no.371 |
| Page | pp.123-130 |
| #Pages | 8 |
| Date of Issue | 2013-12-13 (COMP) |
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