Please use this identifier to cite or link to this item: http://hdl.handle.net/1893/25472
Appears in Collections:Computing Science and Mathematics Journal Articles
Peer Review Status: Refereed
Title: On List Coloring and List Homomorphism of Permutation and Interval Graphs
Authors: Enright, Jessica
Stewart, Lorna
Tardos, Gabor
Contact Email: jae@cs.stir.ac.uk
Keywords: homomorphism
interval graph
permutation graph
list coloring
Issue Date: 2014
Citation: Enright J, Stewart L & Tardos G (2014) On List Coloring and List Homomorphism of Permutation and Interval Graphs, SIAM Journal on Discrete Mathematics, 28 (4), pp. 1675-1685.
Abstract: List coloring is an NP-complete decision problem even if the total number of colors is three. It is hard even on planar bipartite graphs. We give a polynomial-time algorithm for solving list coloring of permutation graphs with a bounded total number of colors. More generally, we give a polynomial-time algorithm that solves the list-homomorphism problem to any fixed target graph for a large class of input graphs, including all permutation and interval graphs. 
DOI Link: http://dx.doi.org/10.1137/13090465X
Rights: Publisher policy allows this work to be made available in this repository. Published in SIAM J. Discrete Math., 28(4), 1675–1685 by Society for Industrial and Applied Mathematics. The original publication is available at: https://doi.org/10.1137/13090465X

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