Brešar, Boštjan Vizing-like conjecture for the upper domination of Cartesian products of graphs – the proof. (English) Zbl 1074.05065 Electron. J. Comb. 12, No. 1, Research paper N12, 6 p. (2005). Summary: We prove the following conjecture of R. J. Nowakowski and 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: \(\Gamma(G\square H)\geq \Gamma(G)\Gamma(H)\). Cited in 7 Documents MSC: 05C69 Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) Citations:Zbl 0865.05071 PDF BibTeX XML Cite \textit{B. Brešar}, Electron. J. Comb. 12, No. 1, Research paper N12, 6 p. (2005; Zbl 1074.05065) Full Text: EMIS OpenURL