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Pancyclicity of Hamiltonian and highly connected graphs

✍ Scribed by Peter Keevash; Benny Sudakov


Book ID
108167482
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
229 KB
Volume
100
Category
Article
ISSN
0095-8956

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πŸ“œ SIMILAR VOLUMES


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✍ Bogdanowicz, Z. R. πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 299 KB πŸ‘ 1 views

The circulant G,(al,. . . , ak), where 0 < al < ... < a k < ( n + 1 ) / 2 , is defined as the vertex-transitive graph that has vertices ifal,. . . ,if a k (mod n) adjacent to each vertex i. In this work we show that the connected circulants of degree at least three contain all even cycles. In additi

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✍ Evelyne Flandrin; Hao Li; Antoni Marczyk; Mariusz WoΕΊniak πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 199 KB
On hamiltonian-connected graphs
✍ Ronald J. Gould; Xingxing Yu πŸ“‚ Article πŸ“… 1994 πŸ› John Wiley and Sons 🌐 English βš– 735 KB

## Abstract One of the most fundamental results concerning paths in graphs is due to Ore: In a graph __G__, if deg __x__ + deg __y__ ≧ |__V__(__G__)| + 1 for all pairs of nonadjacent vertices __x, y__ β‰… __V__(__G__), then __G__ is hamiltonian‐connected. We generalize this result using set degrees.