| 一种基于图距离的新ABC指数(英文) |
| |
| 引用本文： | 杨建光,邓汉元. 一种基于图距离的新ABC指数(英文)[J]. 湖南师范大学自然科学学报, 2012, 35(3): 6-9 |
| |
| 作者姓名： | 杨建光 邓汉元 |
| |
| 作者单位： | 1. 湖南城市学院数学与计算科学系,中国益阳,413000
2. 湖南师范大学数学与计算机科学学院,中国长沙,410081 |
| |
| 基金项目： | 湖南省教育厅科研基金资助项目 |
| |
| 摘 要： | 给出了图的一种新ABC指数定义为ABC(G)=∑uv∈E(G)√Du+Dv-2/DuDv,其中Du是图G中各顶点到顶点u的距离之和.证明了该指数与辛烷同分异构体的ABC指数、Acentric因子、熵之间存在好的线性相关性,确定了该指数的一些基本性质,刻画了具有这种指数最小值的树.
|
| 关 键 词： | 拓扑指数 ABC指数 距离 极图 树 |
A Novel Atom-Bond Connectivity Index Based on the Distance of a Graph |
| |
| YANG Jian-guang , DENG Han-yuan. A Novel Atom-Bond Connectivity Index Based on the Distance of a Graph[J]. Journal of Natural Science of Hunan Normal University, 2012, 35(3): 6-9 |
| |
| Authors: | YANG Jian-guang DENG Han-yuan |
| |
| Affiliation: | 1.Department of Mathematics and Computer Science,Hunan City University,Yiyang 413000,China;2.College of Mathematics and Computer Science,Hunan Normal University,Changsha 410081,China) |
| |
| Abstract: | A novel atom-bond connectivity index for a(molecular) graph is defined as ABC(G)=∑uv∈E(G)((Du+Dv-2/DuDv)～(1/2)),where Du is the distance sum of vertex u in G.It is shown that there exists a good linear correlation between this atom-bond connectivity index ABC and Acentric factor,entropy of the octane isomers.Some basic properties for this index and the tree with the minimum value of this index are determined. |
| |
| Keywords: | topological index atom-bond connectivity index distance extremal graph tree |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
