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K1,k-factorization of bipartite graphs

โœ 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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๐Ÿ“œ SIMILAR VOLUMES


On K1,k-factorizations of a complete bip
โœ Hong Wang ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 311 KB

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.

Connected [k, k + 1]-factors of graphs
โœ Mao-cheng Cai ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 541 KB

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