Parameterized Coloring Problems on Threshold Graphs

October 23, 2019 Β· Declared Dead Β· πŸ› arXiv.org

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Authors I. Vinod Reddy arXiv ID 1910.10364 Category cs.DS: Data Structures & Algorithms Cross-listed cs.DM Citations 2 Venue arXiv.org Last Checked 4 months ago
Abstract
In this paper, we study several coloring problems on graphs from the viewpoint of parameterized complexity. We show that Precoloring Extension is fixed-parameter tractable (FPT) parameterized by distance to clique and Equitable Coloring is 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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