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

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.

preprint2014arXivOpen access
Mamadou Moustapha KantéVincent LimouzyArnaud MaryLhouari NourineTakeaki Uno
Data Structures and AlgorithmsDiscrete Mathematics
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Open access5 authors2 topics
Imported metadata coverageMissing code, dataset, citation and institution fields are tracked without dominating the paper.Details
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Mamadou Moustapha KantéVincent LimouzyArnaud MaryLhouari NourineTakeaki Uno

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