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On List Colouring and List Homomorphism of Permutation and Interval Graphs

List colouring is an NP-complete decision problem even if the total number of colours is three. It is hard even on planar bipartite graphs. We give a polynomial-time algorithm for solving list colouring of permutation graphs with a bounded total number of colours. 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.

preprint2012arXivOpen access
Jessica EnrightLorna StewartGabor Tardos
Discrete Mathematics
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Open access3 authors1 topic
Imported metadata coverageMissing code, dataset, citation and institution fields are tracked without dominating the paper.Details
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Jessica EnrightLorna StewartGabor Tardos

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