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Discussiones Mathematicae Graph Theory
Article . 2013 . Peer-reviewed
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Discussiones Mathematicae Graph Theory
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https://dx.doi.org/10.7151/dmg...
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Edge dominating sets and vertex covers

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2013 English Publisher:University of Zielona Góra, PolandJournal:Discussiones Mathematicae Graph Theory, volume 33, page 437 (issn: 1234-3099, eissn: 2083-5892, Copyright policy )
Authors: Dutton, Ronald; Klostermeyer, William F.;

doi: 10.7151/dmgt.1681

Edge dominating sets and vertex covers

Abstract

Bipartite graphs with equal edge domination number and maximum matching cardinality are characterized. These two parameters are used to develop bounds on the vertex cover and total vertex cover numbers of graphs and a resulting chain of vertex covering, edge domination, and matching parameters is explored. In addition, the total vertex cover number is compared to the total domination number of trees and grid graphs.

Related Organizations
Keywords

Total dominating set, matching, Edge dominating set, total dominating set, edge dominating set, vertex cover, Vertex Cover, QA1-939, Matching, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
Published in a Diamond OA journal