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

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Article , Preprint 01 Jan 2016Embargo end date: 01 Jan 2014Publisher:Springer Berlin Heidelberg

Authors: Kanté, Mamadou Moustapha; Limouzy, Vincent; Mary, Arnaud; Nourine, Lhouari; Uno, Takeaki;

doi: 10.1007/978-3-662-53174-7_11 , 10.48550/arxiv.1407.2036

arXiv: 1407.2036

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

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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.

13 pages, 1 figure, submitted

Related Organizations

Blaise Pascal University
France
French National Centre for Scientific Research
France
French Institute for Research in Computer Science and Automation
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Claude Bernard University Lyon 1
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University of Bordeaux
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Keywords

FOS: Computer and information sciences, Discrete Mathematics (cs.DM), [INFO.INFO-DS] Computer Science [cs]/Data Structures and Algorithms [cs.DS], G.2.2, E.1; F.0; G.2.2, 68P05, 68R10, 05C69, 05C85, 05C30, Computer Science - Data Structures and Algorithms, Data Structures and Algorithms (cs.DS), E.1, F.0, Computer Science - Discrete Mathematics

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