Vizing-like conjecture for the upper domination of Cartesian products of graphs -- the proof (Q2571305)
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| Language | Label | Description | Also known as |
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| English | Vizing-like conjecture for the upper domination of Cartesian products of graphs -- the proof |
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Vizing-like conjecture for the upper domination of Cartesian products of graphs -- the proof (English)
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1 November 2005
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Summary: We prove the following conjecture of \textit{R. J. Nowakowski} and \textit{D. F. Rall} [Discuss. Math., Graph Theory 16, 53--79 (1996; Zbl 0865.05071)]: For arbitrary graphs \(G\) and \(H\) the upper domination number of the Cartesian product \(G\square H\) is at least the product of their upper domination numbers, in symbols: \(\Gamma(G\square H)\geq \Gamma(G)\Gamma(H)\).
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