Sharp bounds on the zeroth-order general Randić index of unicyclic graphs with given diameter
Sharp bounds on the zeroth-order general Randić index of unicyclic graphs with given diameter
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DOI：
10.1016/j.aml.2010.12.006
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发表时间：
2011-05
期刊：
影响因子：
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通讯作者：
Xiangfeng Pan;Huiqing Liu;Mei-jie Liu
中科院分区：
文献类型：
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作者：
Xiangfeng Pan;Huiqing Liu;Mei-jie Liu
设G是一个简单连通图，α是一个给定的实数。定义零阶一般randiicicindex0r α(G)为[公式：见文]，其中dG(v)表示G的顶点v的度数。本文给出了对于任意α(≠0,1)，所有有n个顶点，直径为d的单环图的零阶一般randiicicindex0r α的一些锐界。
Let G be a simple connected graph and α be a given real number. The zeroth-order general Randić index0Rα(G) is defined as [Formula: see text] , where dG(v) denotes the degree of the vertex v of G. In this work, we give, for any α(≠0,1), some sharp bounds on the zeroth-order general Randić index0Rαof all unicyclic graphs with n vertices and diameter d.