One-factors and k-factors
β Scribed by Akira Saito
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 204 KB
- Volume
- 91
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
β¦ Synopsis
Let G be a graph with a l-factor F and of order at least four. Let k be a positive integer. If G -{x, y} has a k-factor for each xy E F
π SIMILAR VOLUMES
In this paper we use Tutte's f-factor theorem and the method of amalgamations to find necessary and sufficient conditions for the existence of a k-factor in the complete multipartite graph K(p(1 ) ..... p(n)), conditions that are reminiscent of the Erd6s-Gallai conditions for the existence of simple
Let k be an odd integer /> 3, and G be a connected graph of odd order n with n/>4k -3, and minimum degree at least k. In this paper it is proved that if for each pair of nonadjacent vertices u, v in G max{dG(u), d~(v)} >~n/2, then G has an almost k--factor F + and a matching M such that F-and M are