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A generalization of Bondy's and Fan's sufficient conditions for Hamiltonian graphs

✍ Scribed by X. Liu; B. Wei


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
337 KB
Volume
169
Category
Article
ISSN
0012-365X

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πŸ“œ SIMILAR VOLUMES


Four sufficient conditions for hamiltoni
✍ A. Ainouche πŸ“‚ Article πŸ“… 1991 πŸ› Elsevier Science 🌐 English βš– 290 KB

## Ainouche, A., Four sufficient conditions for hamiltonian graphs, Discrete Mathematics 89 (1991) 195-200.

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✍ A. Ainouche πŸ“‚ Article πŸ“… 1992 πŸ› John Wiley and Sons 🌐 English βš– 567 KB

## Abstract Let __G__ be a __k__‐connected graph of order __n__. For an independent set c, let __d(S)__ be the number of vertices adjacent to at least one vertex of __S__ and > let i(S) be the number of vertices adjacent to at least |S| vertices of __S__. We prove that if there exists some s, 1 ≀ s

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✍ P. Bedrossian; G. Chen; R.H. Schelp πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 770 KB

Bedrossian, P., G. Chen and R.H. &help, A generalization of Fan's condition of Hamiltonicity, pancyclicity, and Hamiltonian connectedness, Discrete Mathematics 115 (1993) 39-50. A weakened version of Fan's condition for Hamiltonicity is shown to be sufficient for a 2-connected graph to be pancyclic

Sufficient conditions for a digraph to b
✍ Bang-Jensen, JοΏ½rgen; Gutin, Gregory; Li, Hao πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 412 KB πŸ‘ 2 views

We describe a new type of sufficient condition for a digraph to be Hamiltonian. Conditions of this type combine local structure of the digraph with conditions on the degrees of nonadjacent vertices. The main difference from earlier conditions is that we do not require a degree condition on all pairs