Paper Abstract and Keywords |
Presentation |
2011-12-16 11:15
Reconfiguration of Vertex Covers in Trees and Cacti Hiroyuki Nooka, Takehiro Ito, Xiao Zhou (Tohoku Univ.) COMP2011-39 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
We study the problem of reconfiguring a vertex cover of a graph $G$ into another vertex cover via vertex covers of $G$,
each of which results from the previous one by deleting or adding a single vertex,
without ever going through a vertex cover of size more than $k$, for a given integer threshold $k$.
This decision problem is known to be PSPACE-complete for planar graphs.
In this paper, we first give a sufficient condition on the threshold $k$ for which there always exists a reconfiguration between any two vertex covers for cacti.
We then give a linear-time algorithm for trees to compute the minimum threshold $k$ for which there exists a reconfiguration between two given vertex covers. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
algorithm / cactus / reachability on solution space / tree / vertex cover / / / |
Reference Info. |
IEICE Tech. Rep., vol. 111, no. 360, COMP2011-39, pp. 25-32, Dec. 2011. |
Paper # |
COMP2011-39 |
Date of Issue |
2011-12-09 (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) |
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COMP2011-39 |
Conference Information |
Committee |
COMP |
Conference Date |
2011-12-16 - 2011-12-16 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Nagoya Univ. |
Topics (in Japanese) |
(See Japanese page) |
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Paper Information |
Registration To |
COMP |
Conference Code |
2011-12-COMP |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Reconfiguration of Vertex Covers in Trees and Cacti |
Sub Title (in English) |
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Keyword(1) |
algorithm |
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cactus |
Keyword(3) |
reachability on solution space |
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tree |
Keyword(5) |
vertex cover |
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1st Author's Name |
Hiroyuki Nooka |
1st Author's Affiliation |
Tohoku University (Tohoku Univ.) |
2nd Author's Name |
Takehiro Ito |
2nd Author's Affiliation |
Tohoku University (Tohoku Univ.) |
3rd Author's Name |
Xiao Zhou |
3rd Author's Affiliation |
Tohoku University (Tohoku Univ.) |
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Speaker |
Author-1 |
Date Time |
2011-12-16 11:15:00 |
Presentation Time |
30 minutes |
Registration for |
COMP |
Paper # |
COMP2011-39 |
Volume (vol) |
vol.111 |
Number (no) |
no.360 |
Page |
pp.25-32 |
#Pages |
8 |
Date of Issue |
2011-12-09 (COMP) |
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