Dominating set is fixed parameter tractable in claw-free graphs

@article{Cygan2010DominatingSI,
  title={Dominating set is fixed parameter tractable in claw-free graphs},
  author={Marek Cygan and Geevarghese Philip and Marcin Pilipczuk and Michal Pilipczuk and Jakub Onufry Wojtaszczyk},
  journal={Theor. Comput. Sci.},
  year={2010},
  volume={412},
  pages={6982-7000}
}
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24 Citations
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Background Citations
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Methods Citations
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Results Citations
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41 References

Domination When the Stars Are Out

It is shown that Dominating Set on claw-free graphs is (i) fixed-parameter tractable and (ii) even possesses a polynomial kernel.

Linear Time Algorithms for Finding a Dominating Set of Fixed Size in Degenerated Graphs

This paper gives a kO(dk)n time algorithm for finding a dominating set of size at most k in a d-degenerated graph with n vertices, which proves that the dominating set problem is fixed-parameter tractable for degenerated graphs.

On maximal independent sets of vertices in claw-free graphs

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