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- W2573466587 abstract "The edge tenacity Te(G) of a graph G is dened as:Te(G) = min {[|X|+τ(G-X)]/[ω(G-X)-1]|X ⊆ E(G) and ω(G-X) > 1} where the minimum is taken over every edge-cutset X that separates G into ω(G - X) components, and by τ(G - X) we denote the order of a largest component of G. The objective of this paper is to determine this quantity for split graphs. Let G = (Z; I; E) be a noncomplete connected split graph with minimum vertex degree δ(G) we prove that if δ(G)≥|E(G)|/[|V(G)|-1] then its edge-tenacity is |E(G)|/[|V(G)|-1] ." @default.
- W2573466587 created "2017-01-26" @default.
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- W2573466587 date "2016-05-01" @default.
- W2573466587 modified "2023-09-25" @default.
- W2573466587 title "The edge tenacity of a split graph" @default.
- W2573466587 doi "https://doi.org/10.22059/jac.2016.7950" @default.
- W2573466587 hasPublicationYear "2016" @default.
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