Fomin, Fedor V. and Grandoni, Fabrizio and Pyatkin, Artem V. and Stepanov, Alexey A.
(2008)
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Combinatorial bounds via measure and conquer: Bounding minimal dominating sets and applications.
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*ACM Transactions on Algorithms*, 5 (1).
ISSN 1549-6325

## Abstract

We provide an algorithm listing all minimal dominating sets of a graph on n vertices in time O(1.7159n). This result can be seen as an algorithmic proof of the fact that the number of minimal dominating sets in a graph on n vertices is at most 1.7159n, thus improving on the trivial O(2n/&sqrt;n) bound. Our result makes use of the measure-and-conquer technique which was recently developed in the area of exact algorithms. Based on this result, we derive an O(2.8718n) algorithm for the domatic number problem.

Item Type: | Scientific journal article, Newspaper article or Magazine article |
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Subjects: | Computer sciences |

Depositing User: | Fabrizio Grandoni |

Date Deposited: | 14 Mar 2014 09:05 |

Last Modified: | 23 May 2016 14:56 |

URI: | http://repository.supsi.ch/id/eprint/4505 |

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