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Domination in graphs with minimum degree two. (English) Zbl 0708.05058

The domination number \(\gamma\) (G) of a graph \(G=(V,E)\) is the minimum cardinality of a subset of V such that every vertex is either in the set or is adjacent to some vertex in the set. The authors show that if a connected graph G has minimum degree two and is not one of seven exceptional graphs, then \(\gamma\) (G)\(\leq 2| V| /5\). They also characterize those graphs with \(\gamma (G)=2| V| /5\).
Reviewer: D.Lick

MSC:

05C99 Graph theory
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References:

[1] private communication.
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