## Ainouche, A., Four sufficient conditions for hamiltonian graphs, Discrete Mathematics 89 (1991) 195-200.
A generalization of Bondy's and Fan's sufficient conditions for Hamiltonian graphs
β Scribed by X. Liu; B. Wei
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 337 KB
- Volume
- 169
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract Let __G__ be a __k__βconnected 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 β€ s
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
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