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The edge tenacity of a split graph | ||
| Journal of Algorithms and Computation | ||
| مقاله 11، دوره 47، شماره 1، شهریور 2016، صفحه 119-125 اصل مقاله (249.73 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22059/jac.2016.7950 | ||
| نویسنده | ||
| Bahareh Bafandeh Mayvan* | ||
| Department of Computer Engineering, Ferdowsi University of Mashhad | ||
| چکیده | ||
| 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] . | ||
| کلیدواژهها | ||
| Vertex degree؛ split graphs؛ edge tenacity | ||
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