The parameterised complexity of list problems on graphs of bounded treewidth

Meeks, K. and Scott, A. (2016) The parameterised complexity of list problems on graphs of bounded treewidth. Information and Computation, 251, pp. 91-103. (doi:10.1016/j.ic.2016.08.001)

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Abstract

We consider the parameterised complexity of several list problems on graphs, with parameter treewidth or pathwidth. In particular, we show that List Edge Chromatic Number and List Total Chromatic Number are fixed parameter tractable, parameterised by treewidth, whereas List Hamilton Path is W[1]-hard, even parameterised by pathwidth. These results resolve two open questions of Fellows, Fomin, Lokshtanov, Rosamond, Saurabh, Szeider and Thomassen (2011).

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Meeks, Dr Kitty
Authors: Meeks, K., and Scott, A.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Information and Computation
Publisher:Elsevier
ISSN:0890-5401
ISSN (Online):1090-2651
Published Online:16 August 2016
Copyright Holders:Copyright © 2016 Elsevier
First Published:First published in Information and Computation 251:91-103
Publisher Policy:Reproduced in accordance with the copyright policy of the publisher

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