P.A. Golovach
List coloring in the absence of two subgraphs
Golovach, P.A.; Paulusma, D.
Abstract
A list assignment of a graph G=(V,E) is a function L that assigns a list L(u) of so-called admissible colors to each u∈V. The List Coloring problem is that of testing whether a given graph G=(V,E) has a coloring c that respects a given list assignment L, i.e., whether G has a mapping c:V→{1,2,…} such that (i) c(u)≠c(v) whenever uv∈E and (ii) c(u)∈L(u) for all u∈V. If a graph G has no induced subgraph isomorphic to some graph of a pair {H1,H2}, then G is called (H1,H2)-free. We completely characterize the complexity of List Coloring for (H1,H2)-free graphs.
Citation
Golovach, P., & Paulusma, D. (2014). List coloring in the absence of two subgraphs. Discrete Applied Mathematics, 166, 123-130. https://doi.org/10.1016/j.dam.2013.10.010
Journal Article Type | Article |
---|---|
Publication Date | Mar 1, 2014 |
Deposit Date | Dec 20, 2014 |
Publicly Available Date | Mar 28, 2024 |
Journal | Discrete Applied Mathematics |
Print ISSN | 0166-218X |
Publisher | Elsevier |
Peer Reviewed | Peer Reviewed |
Volume | 166 |
Pages | 123-130 |
DOI | https://doi.org/10.1016/j.dam.2013.10.010 |
Keywords | List coloring, Forbidden induced subgraph, Computational complexity |
Public URL | https://durham-repository.worktribe.com/output/1415009 |
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Copyright Statement
NOTICE: this is the author’s version of a work that was accepted for publication in Discrete applied mathematics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Discrete applied mathematics, 166, 2014, 10.1016/j.dam.2013.10.010
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