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An acyclic coloring of a graph G is a proper coloring of the vertex set of G such that G contains no bichromatic cycles. The acyclic chromatic number of a graph G is the minimum nu...
In the precoloring extension problem (PrExt) a graph is given with some of the vertices having a preassigned color and it has to be decided whether this coloring can be extended to...
Abstract. We study the complexity of several coloring problems on graphs, parameterized by the treewidth t of the graph: (1) The list chromatic number χl(G) of a graph G is defin...
Michael R. Fellows, Fedor V. Fomin, Daniel Lokshta...