List coloring in the absence of two subgraphs

  • Authors:
  • Petr A. Golovach;Daniël Paulusma

  • Affiliations:
  • -;-

  • Venue:
  • Discrete Applied Mathematics
  • Year:
  • 2014

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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 {H"1,H"2}, then G is called (H"1,H"2)-free. We completely characterize the complexity of List Coloring for (H"1,H"2)-free graphs.