| 一类单圈图的Kirchhoff指数 |
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| 引用本文： | 郭求知,李芳.一类单圈图的Kirchhoff指数[J].湖南文理学院学报(自然科学版),2011,23(1):6-7,11. |
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| 作者姓名： | 郭求知 李芳 |
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| 作者单位： | 广东金融学院应用数学系,广东肇庆,526020 |
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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Ln,k是将一条长为n-k的路的一个端点连接到圈Ck的一个项点得到的一类特殊的单圈图.根据图Ln,k的结构特征,给出了Ln,k的Kirchhoff 指数、极图及部分排序.
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| 关 键 词： | 电阻距离 Kirchhoff指数 Wiener指数 棒棒糖图 |
The Kirchhoff index of a class of unicyclic |
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| GUO Qiu-zhi,LI Fang.The Kirchhoff index of a class of unicyclic[J].Journal of Hunan University of Arts and Science:Natural Science Edition,2011,23(1):6-7,11. |
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| Authors: | GUO Qiu-zhi LI Fang |
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| Institution: | GUO Qiu-zhi,LI Fang(Department of Applied Mathematics,Guangdong University of Finance,Zhaoqing 526020,China) |
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| Abstract: | 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. |
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| Keywords: | resistance distance Kirchhoff index wiener index lollipop graph |
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