Applying a condition for a hamiltonian bipartite graph to be bipancyclic
β Scribed by D. Amar
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 322 KB
- Volume
- 111
- Category
- Article
- ISSN
- 0012-365X
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π SIMILAR VOLUMES
The total chromatic number Ο T (G) of graph G is the least number of colors assigned to V (G) βͺ E(G) such that no adjacent or incident elements receive the same color. In this article, we give a sufficient condition for a bipartite graph G to have Ο T (G) = β(G) + 1.
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