Parameterized Coloring Problems on Threshold Graphs
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In this paper, we study several coloring problems on graphs from the viewpoint of parameterized complexity. We show that Precoloring Extension and Equitable Coloring problems are fixed-parameter tractable (FPT) parameterized by the distance to threshold graphs. We also study the List k-Coloring and show that the problem is NP-complete on split graphs and it is FPT parameterized by solution size on split graphs.
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