| 化学单圈图的原子键连通性指数 |
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| 引用本文： | 陈锦松,刘剑萍,郭晓峰.化学单圈图的原子键连通性指数[J].浙江大学学报(理学版),2012,39(4):377-380. |
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| 作者姓名： | 陈锦松 刘剑萍 郭晓峰 |
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| 作者单位： | 1. 福州大学数学与计算机科学学院,福建福州,350108
2. 厦门大学数学科学学院,福建厦门,361005 |
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| 基金项目： | Supported by NSFC(No.10831001;11071272;11101087;11026183);by the Foundation to the Educational Committee of Fujian(No.JA10021) |
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| 摘 要： | 图G的原子键连通性指数的定义如下:ABC(G)=∑uv∈E(G)((du+dv-2)dudv)(1/2).其中du、dv分别表示图G的边uv的2个端点u、v的度数.ABC指数已被证实为研究烷烃的稳定性以及环烷烃的应变能提供了一个很好的模型.讨论了n阶化学单圈图,给出了其ABC指数的可达的下界及其相应的极图
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| 关 键 词： | 原子键连通性指数 单圈图 图G |
The atom-bond connectivityindex of chemical unicyclic graphs |
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| CHEN Jin-song
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LIU Jian-ping
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GUO Xiao-feng.The atom-bond connectivityindex of chemical unicyclic graphs[J].Journal of Zhejiang University(Sciences Edition),2012,39(4):377-380. |
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| Authors: | CHEN Jin-song LIU Jian-ping GUO Xiao-feng |
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| Institution: | 1.College of Mathematics and Computer Science,Fuzhou University,Fuzhou 350108,China;2.School of Mathematical Sciences,Xiamen University,Xiamen 361005,Fujian Province,China) |
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| Abstract: | The atom-bond connectivity(ABC) index of a graph G,is defined as the sum of the weights ((du+dv-2)dudv)(1/2) of all edges uvof G,where d u denotes the degree of a vertex uin G.The ABCindex provides a good model for the stability of linear and branched alkanes as well as the strain energy of cycloalkanes.The sharp lower bounds on ABCindex of chemical unicyclic graphs is obtained. |
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| Keywords: | atom-bond connectivity index unicyclic graphs graph G |
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