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	树按Balaban指标的排序(英文); Ordering Trees by Balaban Index
	董哈微 ; 郭晓峰
	2012
关键词	排序 树 Balaban指标 Ordering Tree Balaban index
英文摘要	连通图g的bAlAbAn指标(也称J指标)定义为J=J(g)=(|E(g)|)/μ+1∑_(uυ∈E(g)),其中σ_g(u)=∑(W∈V(g)d_g(u,W)此处μ是基圈数.bAlAbAn指标常用于各种QSAr和QSPr的研究.本文根据bAlAbAn指标的计算公式及文中提到的变换方式,我们得到了一些序关系.基于这些序关系,我们确定了n个顶点的树中具有最小bAlAbAn指标的前21个树.; The Balaban index(also called J index) of a connected graph G is defined as J = J(G) =(|E(G)|/(μ+1))Σ_(uv∈E(G))1/(σG(u)σG(v))--(1/2),whereσ_G(u)=∑_(w∈V(G))dG(u,w) andμis the cyclomatic number of G.Balaban index has been used in various QSAR and QSPR studies.In this paper, we obtained some order relations of trees about Balaban index in the set of n-vertex trees.Based on the order relation,the trees with the first up to at most 21st largest Balaban indices among n-vertex trees are determined.; supportedbyNSFC(10831001;11171279);YKQ(1009)
语种	zh_CN
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/119833]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	董哈微,郭晓峰. 树按Balaban指标的排序(英文), Ordering Trees by Balaban Index[J],2012.
APA	董哈微,&郭晓峰.(2012).树按Balaban指标的排序(英文)..
MLA	董哈微,et al."树按Balaban指标的排序(英文)".(2012).

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