摘要
FURTULA等提出了一个关于图G=（V,E）的增强型萨格勒布指数（AZI）,定义为AZI（G）=∑uv∈E（G）（d_ud_v/d_u＋d_v-2）~3,其中d_u表示图G的顶点u的度数.AZI已被证实在辛烷和正庚烷的生成热研究中是一个有价值的预测指数.对树状六角系统的AZI指数进行了讨论,给出了其AZI指数可达的上、下界.
The augmented Zagreb index（AZI）of a graph G=（V,E）was recently introduced by FURTULA et al,which is defined as AZI（G）=∑uv∈E（G）（d_ud_v/d_u＋d_v-2）3,where du denotes the degree of a vertex uin G.The augmented Zagreb index has been proven to be a valuable predictive index in the study of the formation heat of octanes and heptanes.In this paper,the tight upper and lower bounds for AZI of the catacondensed hexagonal systems are obtained.
出处
《浙江大学学报（理学版）》
CAS
CSCD
北大核心
2016年第6期664-667,共4页
Journal of Zhejiang University（Science Edition）
基金
Supported by NSFC(11471077)
the Foundation to the Educational Committee of Fujian Province(JA13025,JA13034)
the New Century Excellent Talents in Fujian Province University
关键词
增强型萨格勒布指数
六角系统
树状六角系统
augmented Zagreb index
hexagonal system
catacondensed hexagonal systems
