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arXiv · 1407.2036

A Polynomial Delay Algorithm for Enumerating Minimal Dominating Sets in Chordal Graphs

Mamadou Moustapha Kanté·Vincent Limouzy·Arnaud Mary·Lhouari Nourine·Takeaki Uno
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Abstract

An output-polynomial algorithm for the listing of minimal dominating sets in graphs is a challenging open problem and is known to be equivalent to the well-known Transversal problem which asks for an output-polynomial algorithm for listing the set of minimal hitting sets in hypergraphs. We give a polynomial delay algorithm to list the set of minimal dominating sets in chordal graphs, an important and well-studied graph class where such an algorithm was open for a while.

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Mamadou Moustapha Kanté, Vincent Limouzy, Arnaud Mary, Lhouari Nourine, Takeaki Uno. 2014-07-08. A Polynomial Delay Algorithm for Enumerating Minimal Dominating Sets in Chordal Graphs. https://arxiv.org/abs/1407.2036

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