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On a theorem of Ore

โœ Scribed by Jesus Montes; Enric Nart


Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
838 KB
Volume
146
Category
Article
ISSN
0021-8693

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๐Ÿ“œ SIMILAR VOLUMES


A generalization of Ore's Theorem involv
โœ H.J. Broersma; J. van den Heuvel; H.J. Veldman ๐Ÿ“‚ Article ๐Ÿ“… 1993 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 656 KB

Let G be a graph of order n. Settling conjectures of Chen and Jackson, we prove the following generalization of Ore's Theorem: If G is 2-connected and )N(u)u N(v)1 >:n for every pair of nonadjacent vertices a, u, then either G is hamiltonian, or G is the Petersen graph, or G belongs to one of three

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