Parameterized Complexity of Coloring Problems: Treewidth versus Vertex Cover

  • Authors:
  • Jiří Fiala;Petr A. Golovach;Jan Kratochvíl

  • Affiliations:
  • Institute for Theoretical Computer Science, and Department of Applied Mathematics, Charles University, Prague, Czech Republic;Institutt for informatikk, Universitetet i Bergen, Norway;Institute for Theoretical Computer Science, and Department of Applied Mathematics, Charles University, Prague, Czech Republic

  • Venue:
  • TAMC '09 Proceedings of the 6th Annual Conference on Theory and Applications of Models of Computation
  • Year:
  • 2009

Quantified Score

Hi-index 0.00

Visualization

Abstract

We compare the fixed parameter complexity of various variants of coloring problems (including List Coloring, Precoloring Extension, Equitable Coloring, L (p ,1)-Labeling and Channel Assignment ) when parameterized by treewidth and by vertex cover number. In most (but not all) cases we conclude that parametrization by the vertex cover number provides a significant drop in the complexity of the problems.