Graphs with large double domination numbers
Michael A. Henning
Discussiones Mathematicae Graph Theory, Tome 25 (2005), p. 13-28 / Harvested from The Polish Digital Mathematics Library
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In a graph G, a vertex dominates itself and its neighbors. A subset S ⊆ V(G) is a double dominating set of G if S dominates every vertex of G at least twice. The minimum cardinality of a double dominating set of G is the double domination number γ×2(G). If G ≠ C₅ is a connected graph of order n with minimum degree at least 2, then we show that γ×2(G)≤3n/4 and we characterize those graphs achieving equality.

Publié le : 2005-01-01
EUDML-ID : urn:eudml:doc:270356 
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Michael A. Henning. Graphs with large double domination numbers. Discussiones Mathematicae Graph Theory, Tome 25 (2005) pp. 13-28. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgt_1255/

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