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On Connected [g,f+1]-Factors in Graphs

✍ Scribed by Guojun Li*†; Ying Xu†; Chuanping Chen; Zhenhong Liu


Publisher
Springer-Verlag
Year
2005
Tongue
English
Weight
227 KB
Volume
25
Category
Article
ISSN
0209-9683

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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