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k-树图的收缩边

Le-xian HUANG,Cheng-fu QIN

Journal of Guangxi Teachers Education University (Natural Science Edition)(2014)

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Abstract
Narayanaswamy ,Sadagopan和Sunil Chandran证明了k-树图G可收缩边数目的下界为V(G)+ k -2,并指出这个界是紧的。该文给出了 k-树图G可收缩边数目更一般的下界,由该文的结果可以推出Narayanaswamy等人的结果,进一步证明了可收缩边数目恰好为V (G )+ k -2的图的特征。
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Key words
k-tree,connectivity,contractible edge
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