A sufficient condition for hamiltonian circuits
β Scribed by D.R Woodall
- Publisher
- Elsevier Science
- Year
- 1978
- Tongue
- English
- Weight
- 119 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract Let __G__ be a 2βconnected graph of order __n.__ We show that if for each pair of nonadjacent vertices __x__,__y__ β __V(G)__, then __G__ is Hamiltonian.
## Ainouche, A., Four sufficient conditions for hamiltonian graphs, Discrete Mathematics 89 (1991) 195-200.
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