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Chiue, Wen-Sz; Shieh, Bih-Sheue

On connectivity of the cartesian product of two graphs. (English) Zbl 0927.05048

Appl. Math. Comput. 102, No. 2-3, 129-137 (1999).
A graph \(G=(V,E)\) is maximum vertex-connected (maximum edge-connected) if its vertex-connectivity (edge-connectivity) equals \(\Bigl\lfloor \tfrac{2| E| }{| V| }\Bigr\rfloor \). Sufficient conditions for the cartesian product of two graphs to be maximum vertex-connected (maximum edge-connected) are given.
Reviewer: P.Horák (Safat)

Cited in 36 Documents

MSC:

05C40 Connectivity
05C75 Structural characterization of families of graphs

Keywords:

maximum connectivity; super connectivity
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\textit{W.-S. Chiue} and \textit{B.-S. Shieh}, Appl. Math. Comput. 102, No. 2--3, 129--137 (1999; Zbl 0927.05048)
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