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A Polynomial Delay Algorithm for Enumerating Minimal Dominating Sets in Chordal Graphs (1407.2036v1)
Published 8 Jul 2014 in cs.DS and cs.DM
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.