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Paper Abstract and Keywords
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
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
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)
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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  
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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Date Time 2017-12-21 12:15:00 
Presentation Time 25 
Registration for COMP 
Paper # IEICE-ISEC2017-77,IEICE-COMP2017-31 
Volume (vol) IEICE-117 
Number (no) no.369(ISEC), no.370(COMP) 
Page pp.33-39 
#Pages IEICE-7 
Date of Issue IEICE-ISEC-2017-12-14,IEICE-COMP-2017-12-14 

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