A sufficient condition for oriented graphs to be Hamiltonian
β Scribed by Odile Favaron; Oscar Ordaz
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 492 KB
- Volume
- 58
- Category
- Article
- ISSN
- 0012-365X
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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.
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
A multipartite tournament is an orientation of a complete k-partite graph for some k >~ 2. A factor of a digraph D is a collection of vertex disjoint cycles covering all the vertices of D. We show that there is no degree of strong connectivity which together with the existence of a factor will guara
## Ainouche, A., Four sufficient conditions for hamiltonian graphs, Discrete Mathematics 89 (1991) 195-200.