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oai:recercat.cat:2117/858122025-07-17T10:38:28Zcom_2072_1033col_2072_452950

Efficient algorithms for parameterized H-colorings Díaz Cort, Josep Serna Iglesias, María José Thilikos Touloupas, Dimitrios Universitat Politècnica de Catalunya. Departament de Llenguatges i Sistemes Informàtics Àrees temàtiques de la UPC::Informàtica::Informàtica teòrica Parameterized list H-colorings Fixed parameter tractability Fixed parameter algorithms We study the fixed parameter tractability of the restrictive $H$-coloring and the restrictive list $H$-coloring problems, introduced in~cite{DST01b}. The parameterizations are defined by fixing the number of pre-images of a subset $C$ of the vertices in $H$ through a partial weight assignment $(C,K)$. We define two families of partially weighted graphs: the emph{simple} and the emph{plain}. For the class of simple partially weighted graphs, we show the fixed parameter tractability of the list $(H,C,K)$-coloring problem. For the more general class of plain partially weighted graphs, we prove the fixed parameter tractability of the $(H,C,K)$-coloring problem. Postprint (published version) 2005-12 External research report Díaz, J., Serna, M., Thilikos, D. "Efficient algorithms for parameterized H-colorings". 2005. https://hdl.handle.net/2117/85812 eng LSI-05-61-R Open Access 28 p. application/postscript