The general connectivity indices of fluoranthene-type benzenoid systems

被引：22
作者：
Li, Fengwei [1 ]
Ye, Qingfang [1 ]
机构：
[1] Shaoxing Univ, Dept Math, Shaoxing, Zhejiang, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2016年 / 273卷
关键词：
Connectivity index; Inlet; Fluoranthene-type benzenoid system; Cata-catacondensed f-benzenoid system; RANDIC INDEX; HEXAGONAL SYSTEMS; MATCHING ENERGY; CONJECTURE; GRAPHS; NUMBER; TREES; EXTREMALITY; BOUNDS; ORDER;
D O I：
10.1016/j.amc.2015.10.050
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The general connectivity index R-alpha(G) of a graph G = (V,E) is defined as R-alpha(G) = Sigma((dudv)alpha)((u,v)is an element of E(G)), where (u, v) is an edge of G, d(u) and d(v) denote the degrees of the vertices u and v, respectively, and alpha not equal 0 is an arbitrary real number. In this paper, we give the expressions for computing the general connectivity indices of fluoranthene-type benzenoid systems, and we determine the extremal values of R-alpha(G) in f-benzenoid systems with h hexagons for some real number alpha. Especially, the extremal values of R-alpha(G) in cata-catacondensed fluoranthene-type benzenoid systems with h hexagons were studied. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：897 / 911
页数：15
相关论文
共 62 条
[11]  
Chou CP, 2014, MATCH-COMMUN MATH CO, V72, P105
[12]  
Clar E., 1964, POLYCYCLIC HYDROCARB
[13]  
Cruz R, 2012, MATCH-COMMUN MATH CO, V68, P97
[14]  
Cyvin S.J., 1988, LECT NOTES CHEM, V46
[15]  
CYVIN SJ, 1992, J MOL STRUC-THEOCHEM, V94, P219, DOI 10.1016/0166-1280(92)85110-7
[16]  
da Fonseca CM, 2014, MATCH-COMMUN MATH CO, V72, P333
[17]  
Das KC, 2014, MATCH-COMMUN MATH CO, V72, P227
[18]  
Dehmer M, 2013, MATCH-COMMUN MATH CO, V69, P785
[19]  
Deng Han-yuan, 2003, Journal of Natural Science of Hunan Normal University, V26, P10
[20]   Catacondensed hexagonal systems with smaller numbers of Kekule structures [J].
Deogun, JS ;
Guo, X ;
Wei, W ;
Zhang, F .
JOURNAL OF MOLECULAR STRUCTURE-THEOCHEM, 2003, 639 :101-108
1234567