Abstract：The augmented Zagreb index(AZI) of a graph G=(V,E) was recently introduced by FURTULA et al, which is defined as AZI(G)=, where du denotes the degree of a vertex u in 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.
作者简介: 刘剑萍(1978-), ORCID:http://orcid.org/0000-0001-6688-9058, female, associate professor, the field of interest is graph theory
引用本文:
刘剑萍, 吴先章, 陈锦松. 树状六角系统的增强型萨格勒布指数[J]. 浙江大学学报（理学版）, 2016, 43(6): 664-667.
LIU Jianping, WU Xianzhang, CHEN Jinsong. The augmented Zagreb index of the catacondensed hexagonal systems. Journal of ZheJIang University(Science Edition), 2016, 43(6): 664-667.
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2016, Vol. 43 
，其中du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.
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, where du denotes the degree of a vertex u in 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.