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List coloring in the absence of two subgraphs.

Golovach, P.A. and Paulusma, D. (2013) 'List coloring in the absence of two subgraphs.', in Algorithms and complexity : 8th International Conference, CIAC 2013, 22-24 May 2013, Barcelona, Spain ; proceedings. Berlin, Heidelberg: Springer, pp. 288-299. Lecture notes in computer science., 7878 (7878).

Abstract

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 2 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 ! f1; 2; : : :g such that (i) c(u) 6= c(v) whenever uv 2 E and (ii) c(u) 2 L(u) for all u 2 V . If a graph G has no induced subgraph isomorphic to some graph of a pair fH1;H2g, then G is called (H1;H2)-free. We completely characterize the complexity of List Coloring for (H1;H2)-free graphs.

Item Type:Book chapter
Full text:(AM) Accepted Manuscript
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Status:Peer-reviewed
Publisher Web site:http://dx.doi.org/10.1007/978-3-642-38233-8_24
Publisher statement:The final publication is available at Springer via http://dx.doi.org/10.1007/978-3-642-38233-8_24
Date accepted:No date available
Date deposited:14 January 2015
Date of first online publication:2013
Date first made open access:No date available

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