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Complexity issues on bounded restrictive H-coloring
Authors:Josep Dí  az,Dimitrios M. Thilikos
Affiliation:ALBCOM Research Group, Dept. Llenguatges i Sistemes Informàtics, Universitat Politècnica de Catalunya, Campus Nord, Edifici Ω, Jordi Girona Salgado 1-3, 08034 Barcelona, Spain
Abstract:We consider a bounded version of the restrictive and the restrictive list H-coloring problem in which the number of pre-images of certain vertices of H is taken as parameter. We consider the decision and the counting versions, as well as, further variations of those problems. We provide complexity results identifying the cases when the problems are NP-complete or #P-complete or polynomial time solvable. We conclude stating some open problems.
Keywords:Restrictive H-coloring   Restrictive list H-coloring   Parameterization   Counting problems     sansserif"  >NP-complete   #P-complete
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