K1,k-factorization of bipartite graphs
โ Scribed by Du Beiliang
- Publisher
- SP Editorial Committee of Applied Mathematics - A Journal of Chinese Universities
- Year
- 1997
- Tongue
- English
- Weight
- 201 KB
- Volume
- 12
- Category
- Article
- ISSN
- 1005-1031
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๐ SIMILAR VOLUMES
We present a necessary condition for a complete bipartite graph K,., to be K,.,-factorizable and a sufficient condition for K,,, to have a K,,,-factorization whenever k is a prime number. These two conditions provide Ushio's necessary and sufficient condition for K,,, to have a K,,,-factorization.
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