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A result on Vizing’s conjecture. (English) Zbl 1030.05087
Summary: Let \(\gamma(G)\) denote the domination number of a simple graph \(G\) and let \(G\square H\) denote the Cartesian product of two simple graphs \(G\) and \(H\). We prove that if \(\gamma(G)=3\), then \(\gamma (G\square H) \geq \gamma(G) \gamma(H)\).

05C69 Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.)
Full Text: DOI
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