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浙江大学学报(理学版)  2016, Vol. 43 Issue (6): 664-667    DOI: 10.3785/j.issn.1008-9497.2016.06.006
数学与计算机科学     
树状六角系统的增强型萨格勒布指数
刘剑萍, 吴先章, 陈锦松
福州大学 数学与计算机科学学院, 福建 福州 350116
The augmented Zagreb index of the catacondensed hexagonal systems
LIU Jianping, WU Xianzhang, CHEN Jinsong
College of Mathematics and Computer Science, Fuzhou University, Fuzhou 350116, China
 全文: PDF(269 KB)  
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)=,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.
关键词: 增强型萨格勒布指数六角系统树状六角系统    
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.
Key words: augmented Zagreb index    hexagonal system    catacondensed hexagonal systems
收稿日期: 2015-10-22 出版日期: 2017-03-07
CLC:  O157.5  
通讯作者: 陈锦松,ORCID:http://orcid.org/0000-0002-9482-3264,E-mail:fzu_cjs@126.com     E-mail: fzu_cjs@126.com
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
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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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https://www.zjujournals.com/sci/CN/10.3785/j.issn.1008-9497.2016.06.006        https://www.zjujournals.com/sci/CN/Y2016/V43/I6/664

[1] RANDIC M. Characterization of molecular branching[J]. Journal of the American Chemical Society, 1975,97(23):6609-6615.
[2] ESTRADA E, TORRES L, RODRIGUEZ L, et al. An atom-bond connectivity index:Modelling the enthalpy of formation of alkanes[J]. Indian Journal of Chemistry, 1998,37(A):849-855.
[3] CHEN J S, GUO X F. Extreme atom-bond connectivity index of graphs[J]. MATCH Communications in Mathematical and in Computer Chemistry,2011,65:713-722.
[4] CHEN J S, GUO X F. The atom-bond connectivity index of chemical bicyclic graphs[J]. Applied Mathematics-A Journal of Chinese Universities:Ser B, 2012,27:243-252.
[5] CHEN J S, LIU J P, GUO X F. The atom-bond connectivity index of chemical unicyclic graphs[J]. Journal of Zhejiang University:Science Edition, 2012,39(4):377-380.
[6] FURTULA B, GRAOVAC A, VUKICEVIC D. Atom-bond connectivity index of trees[J]. Discrete Applied Mathematics, 2009,157:2828-2835.
[7] HOSSEINI S A, AHMADI M B, GUTMAN I. Kragujevac trees with minimal atom-bond connectivity index[J]. MATCH Communications in Mathematical and in Computer Chemistry, 2014,71(1):5-20.
[8] FURTULA B, GRAOVAC A, VUKICEVIC D. Augmented Zagreb index[J]. Journal of Mathematical Chemistry, 2010,48(2):370-380.
[9] HUANG Y F, LIU B L, GAN L. Augmented Zagreb index of connected graphs[J]. MATCH Communications in Mathematical and in Computer Chemistry, 2012,67:483-494.
[10] HUANG Y F, LIU B L. Ordering graphs by the augmented Zagreb indices[J]. Journal of Mathematical Research with Applications, 2015,35:119-129.
[11] WANG D, HUANG Y F, LIU B L. Bounds on augmented zagreb index[J]. MATCH Communications in Mathematical and in Computer Chemistry, 2012,68:209-216.
[12] DEOGUN J S, GUO X F, WEI W D, et al. Catacondensed hexagonal systems with smaller numbers of Kekule structures[J]. Journal of Molecular Structure, 2003,639:101-108.
[13] BONDY J A, MURTY U S R. Graph Theory with Applications[M]. New York:Elsvier, 1976.
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