Paper Abstract and Keywords |
Presentation |
2015-11-20 16:20
On Evasion Games on Graphs Satoshi Tayu, Shuichi Ueno (Tokyo Tech) CAS2015-52 MSS2015-26 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
We consider an evasion game on a connected simple graph. We first show that the pursuit number of a graph G, the smallest k such that k pursuers win the game, is bounded above by the pathwidth of G. We next show that the pursuit number of G is two if and only if the pathwidth of G is one. We also show that for any integer k<=2, there exists a tree T such that the pursuit number of T is three and the pathwidth of T is k. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
evader / evasion game / pathwidth / pursuer / pursuit number / / / |
Reference Info. |
IEICE Tech. Rep., vol. 115, no. 315, CAS2015-52, pp. 59-64, Nov. 2015. |
Paper # |
CAS2015-52 |
Date of Issue |
2015-11-13 (CAS, MSS) |
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) |
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CAS2015-52 MSS2015-26 |
Conference Information |
Committee |
MSS CAS IPSJ-AL |
Conference Date |
2015-11-20 - 2015-11-21 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Ibusuki CityHall |
Topics (in Japanese) |
(See Japanese page) |
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Paper Information |
Registration To |
CAS |
Conference Code |
2015-11-MSS-CAS-AL |
Language |
English |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
On Evasion Games on Graphs |
Sub Title (in English) |
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evader |
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evasion game |
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pathwidth |
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pursuer |
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pursuit number |
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1st Author's Name |
Satoshi Tayu |
1st Author's Affiliation |
Tokyo Institute of Technology (Tokyo Tech) |
2nd Author's Name |
Shuichi Ueno |
2nd Author's Affiliation |
Tokyo Institute of Technology (Tokyo Tech) |
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Speaker |
Author-1 |
Date Time |
2015-11-20 16:20:00 |
Presentation Time |
25 minutes |
Registration for |
CAS |
Paper # |
CAS2015-52, MSS2015-26 |
Volume (vol) |
vol.115 |
Number (no) |
no.315(CAS), no.316(MSS) |
Page |
pp.59-64 |
#Pages |
6 |
Date of Issue |
2015-11-13 (CAS, MSS) |
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