极小k-连通图中的k-可收缩边k-Contractible Edge in Minimally k-Connected Graph
齐恩凤,王美艳
摘要(Abstract)：
Ando证明了如果G是极小的k-连通图,且G中不含有K1+C4,若对于V(G)中的任意一个k度点x,与x关联的边中都存在一条不在三边形中的边,那么G中含有k-可收缩边.改进这个结果得出结论:如果G是极小的k-连通图,且不含图P,若G中任一k度点x,都存在与x关联的不在三边形中的边,那么G中有k-可收缩边.
关键词(KeyWords)： 极小k-连通图;k-可收缩边;H-free
基金项目(Foundation):
作者(Author): 齐恩凤,王美艳
DOI: 10.16393/j.cnki.37-1436/z.2008.02.005
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