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Parameterized Coloring Problems on Threshold Graphs

Data Structures and Algorithms 2020-05-29 v3 Discrete Mathematics

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.

Keywords

Cite

@article{arxiv.1910.10364,
  title  = {Parameterized Coloring Problems on Threshold Graphs},
  author = {I. Vinod Reddy},
  journal= {arXiv preprint arXiv:1910.10364},
  year   = {2020}
}

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12pages, latest version