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一类单圈图的Kirchhoff指数

The Kirchhoff index of a class of unicyclic
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摘要 Kirchhoff指数Kf(G)是指简单连通图G中所有电阻距离的总和.棒棒糖图L n,k是将一条长为n-k的路的一个端点连接到圈Ck的一个顶点得到的一类特殊的单圈图.根据图L n,k的结构特征,给出了Ln,k的Kirchhoff指数、极图及部分排序. The Kirchhoff index of a graph G is the sum of resistance distances between all pairs of vertices.The lollipop graph is a class of special unicyclic graphs which comes from joining a vertex of to one vertex of the cycle.By the structure of,the Kirchhoff index and the extremal graphs and an order of with respect to Kirchhoff index are provided.
作者 郭求知 李芳
出处 《湖南文理学院学报(自然科学版)》 CAS 2011年第1期6-7,11,共3页 Journal of Hunan University of Arts and Science(Science and Technology)
关键词 电阻距离 Kirchhoff指数 WIENER指数 棒棒糖图 resistance distance Kirchhoff index wiener index lollipop graph
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参考文献12

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