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Paper Abstract and Keywords
Presentation 2018-12-12 10:25
Linear-Time Algorithms for the Generalized Coloring Reconfiguration Problem
Hiroki Osawa, Akira Suzuki, Takehiro Ito, Xiao Zhou (Tohoku Univ.) COMP2018-32
Abstract (in Japanese) (See Japanese page) 
(in English) {sc Coloring reconfiguration} is one of the most well-studied reconfiguration problems. In the problem, we are given two proper (vertex-)colorings of a graph using at most $k$ colors, and asked to determine whether there exists a transform between them by recoloring only a single vertex at a time, while maintaining a proper coloring. It is known that this problem is solvable in polynomial time if $kleq3$, while is PSPACE-complete for a fixed $kgeq4$. In this paper, we study this problem from a viewpoint of recolorability constraints, which is given in terms of a graph $R$ whose vertices are colors, and each edge represents a pair of colors that can be recolored directly. In this paper, we show that this generalized problem can be solved in linear time if $R$ is of maximum degree at most two.
Keyword (in Japanese) (See Japanese page) 
(in English) combinatorial reconfiguration / graph algorithm / graph coloring / / / / /  
Reference Info. IEICE Tech. Rep., vol. 118, no. 356, COMP2018-32, pp. 7-14, Dec. 2018.
Paper # COMP2018-32 
Date of Issue 2018-12-05 (COMP) 
ISSN 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 COMP  
Conference Date 2018-12-12 - 2018-12-12 
Place (in Japanese) (See Japanese page) 
Place (in English) Tohoku University 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To COMP 
Conference Code 2018-12-COMP 
Language English 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Linear-Time Algorithms for the Generalized Coloring Reconfiguration Problem 
Sub Title (in English)  
Keyword(1) combinatorial reconfiguration  
Keyword(2) graph algorithm  
Keyword(3) graph coloring  
1st Author's Name Hiroki Osawa  
1st Author's Affiliation Tohoku University (Tohoku Univ.)
2nd Author's Name Akira Suzuki  
2nd Author's Affiliation Tohoku University (Tohoku Univ.)
3rd Author's Name Takehiro Ito  
3rd Author's Affiliation Tohoku University (Tohoku Univ.)
4th Author's Name Xiao Zhou  
4th Author's Affiliation Tohoku University (Tohoku Univ.)
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Speaker Author-1 
Date Time 2018-12-12 10:25:00 
Presentation Time 25 minutes 
Registration for COMP 
Paper # COMP2018-32 
Volume (vol) vol.118 
Number (no) no.356 
Page pp.7-14 
Date of Issue 2018-12-05 (COMP) 

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