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| Presentation | 2017-12-21 12:15 An optimal strategy of the second player for the 1-round voronoi game on trees Akihiro Sugimoto (Kobe Univ.), Toshiki Saitoh (Kyushu Inst. of Tech.)  ISEC2017-77 COMP2017-31 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | Voronoi game is an encampment game which is played on a plane. The game is expected to be applied to a model of competitive facility location problem. Each player puts $m$ marks (facility) on the plane alternately. These 2$m$ facilities partition the plane into 2$m$ regions according to nearest-neighbor rule. This partitioned plane is called Voronoi diagrams. Each player acquires the Voronoi regions which are formed by the Voronoi diagram. The player who acquires the larger area is the winner. Voronoi game on graphs is a kind of Voronoi game which is played on a discrete structure. One-round Voronoi game is the case that the first player selects $m$ vertices, and then the second player selects another $m$ vertices. In this paper, given a tree and selected verices by the first player on one round Voronoi game, we present a polynomial time algorithm which finds the optimal locations for the second player by dynamic programming. | |
| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | Voronoi game / Dynamic programming / Polynomial time algorithm / / / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 117, no. 370, COMP2017-31, pp. 33-39, Dec. 2017. | |
| Paper # | COMP2017-31 | |
| Date of Issue | 2017-12-14 (ISEC, 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 | ISEC2017-77 COMP2017-31 |
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| Conference Information | |
| Committee | ISEC COMP |
| Conference Date | 2017-12-21 - 2017-12-22 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Eikokuji Campus, Kochi University of Technology |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Paper Information | |
| Registration To | COMP |
| Conference Code | 2017-12-ISEC-COMP |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | An optimal strategy of the second player for the 1-round voronoi game on trees |
| Sub Title (in English) | |
| Keyword(1) | Voronoi game |
| Keyword(2) | Dynamic programming |
| Keyword(3) | Polynomial time algorithm |
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| 1st Author's Name | Akihiro Sugimoto |
| 1st Author's Affiliation | Kobe University (Kobe Univ.) |
| 2nd Author's Name | Toshiki Saitoh |
| 2nd Author's Affiliation | Kyushu Institute of Technology (Kyushu Inst. of Tech.) |
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| Speaker | Author-1 |
| Date Time | 2017-12-21 12:15:00 |
| Presentation Time | 25 minutes |
| Registration for | COMP |
| Paper # | ISEC2017-77, COMP2017-31 |
| Volume (vol) | vol.117 |
| Number (no) | no.369(ISEC), no.370(COMP) |
| Page | pp.33-39 |
| #Pages | 7 |
| Date of Issue | 2017-12-14 (ISEC, COMP) |
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