QQ客服 官方微博 反馈留言

	Character of Trees with Extreme Balaban Index
	Dong, Hawei ; Guo, Xiaofeng ; Guo XF(郭晓峰)
	2011
关键词	TOPOLOGICAL INDEXES WIENER INDEX INHIBITORS GRAPHS BOUNDS
英文摘要	NSFC [10831001]; The Balaban index (also called J index) of a connected graph G is defined as J = J(G) = vertical bar E(G)vertical bar/mu+1 Sigma u upsilon is an element of E(G) 1/root sigma(G)(u)sigma(G)(upsilon), where sigma(G)(u) = Sigma omega is an element of V(G)D(G)(u, w) and mu is the cyclomatic number. Balaban index has been used in various QSAR and QSPR studies. In this paper, we characterize the trees with the maximum Balaban index among all the trees with a vertices and either the maximum degree A, or a given degree sequence, or k pendent vertices. In addition, the tree with the minimum Balaban index and a vertices and the maximum degree A, and the tree with the maximum Balaban index and a vertices and the maxinjuin degree A and k pendent vertices are also determined. On the other hand, we find that a lemma without proof in our paper [MATCH Commu. Math. Commit. Chem. 63 (2010) 799-812] is incorrect, and so are several related theorems. In the appendix of this paper, we rework the lemma and theorems, and give a new character for the graph with maximum Balaban index among graphs with n vertices. Several open problems on graphs with extreme Balaban indices are proposed.
语种	英语
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/66718]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Dong, Hawei,Guo, Xiaofeng,Guo XF. Character of Trees with Extreme Balaban Index[J],2011.
APA	Dong, Hawei,Guo, Xiaofeng,&郭晓峰.(2011).Character of Trees with Extreme Balaban Index..
MLA	Dong, Hawei,et al."Character of Trees with Extreme Balaban Index".(2011).

个性服务

查看访问统计

相关权益政策

暂无数据

收藏/分享

除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。