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- W2005280327 abstract "This work deals with a generalization of the Cartesian product of graphs, the product graph Gm∗Gp introduced by Bermond et al. [J.C. Bermond, C. Delorme, G. Farhi, Large graphs with given degree and diameter II, J. Combin. Theory, Series B 36 (1984), 32–48]. The connectivity of these product graphs is approached by studying the k-restricted edge-connectivity, which is defined as the minimum number of edges of a graph whose deletion yields a disconnected graph with all its components having at least k vertices. To be more precise, we present lower and upper bounds for the k-restricted edge-connectivity of Gm∗Gp, and provide sufficient conditions that ensure an optimal value for this parameter. When both Gm and Gp are regular graphs, conditions for guaranteeing that Gm∗Gp is super-λ(k) are also presented, and the particular case where both Gm and Gp are complete graphs is considered." @default.
- W2005280327 created "2016-06-24" @default.
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- W2005280327 date "2013-01-01" @default.
- W2005280327 modified "2023-09-25" @default.
- W2005280327 title "The <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif display=inline overflow=scroll><mml:mi>k</mml:mi></mml:math>-restricted edge-connectivity of a product of graphs" @default.
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- W2005280327 doi "https://doi.org/10.1016/j.dam.2012.08.001" @default.
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