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Dominating induced matchings

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Cardoso, Domingos M. and Lozin, Vadim V. (2009) Dominating induced matchings. Lecture Notes in Computer Science, Vol.5420 . pp. 77-86. doi:10.1007/978-3-642-02029-2_8 ISSN 0302-9743.

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Official URL: http://dx.doi.org/10.1007/978-3-642-02029-2_8

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Abstract

We study the problem of determining whether or not a graph G has an induced matching that dominates every edge of the graph, which is also known as efficient edge domination. This problem is known to be NP-complete in general as well as in some restricted domains, such as bipartite graphs or regular graphs. In this paper, we identify a graph parameter to which the complexity of the problem is sensible and produce results of both negative (intractable) and positive (solvable in polynomial time) type.

Item Type: Journal Article
Divisions: Faculty of Science, Engineering and Medicine > Science > Mathematics
Journal or Publication Title: Lecture Notes in Computer Science
Publisher: Springer
ISSN: 0302-9743
Book Title: Graph Theory, Computational Intelligence and Thought
Official Date: 2009
Dates:
DateEvent
2009Published
Volume: Vol.5420
Page Range: pp. 77-86
DOI: 10.1007/978-3-642-02029-2_8
Status: Peer Reviewed
Publication Status: Published

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