A sufficient condition for a bipartite graph to have a k-factor
β Scribed by Hikoe Enomoto; Katsuhiro Ota; Mikio Kano
- Publisher
- John Wiley and Sons
- Year
- 1988
- Tongue
- English
- Weight
- 308 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
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.
Let G be a graph of order n, and let a and b be integers such that a+b for any two nonadjacent vertices u and v in G. This result is best possible, and it is an extension of T. Iida and T. Nishimura's results (T. Iida and T. Nishimura, An Ore-type condition for the existence of k-factors in graphs,
## Abstract Ore derived a sufficient condition for a graph to contain a Hamiltonian cycle. We obtain a sufficient condition, similar to Ore's condition, for a graph to contain a Hamiltonian cycle and a 1βfactor which are edge disjoint.