The atom-bond connectivity index of chemical bicyclic graphs  

作　　者：CHEN Jin-song GUO Xiao-feng 

机构地区：[1]College of Mathematics and Computer Science, Hunan Normal University, Changsha 410081, China. [2]College of Mathematics and Computer Science, Fuzhou University, Fuzhou 350108, China. [3]School of Mathematical Sciences, Xiamen University, Xiamen 361005, China.

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2012年第2期243-252,共10页高校应用数学学报（英文版）（B辑）

基　　金：Supported by the National Natural Science Foundation of China(11071272,10831001,11171279,11101087);the Young Talent Foundation of Fuzhou University(XRC-1154)

摘　　要：The atom-bond connectivity（ABC） index provides a good model for the stability of linear and branched alkanes as well as the strain energy of cycloalkanes,which is defined as ABC（G） =∑ uv∈E（G） √d u＋dv-2 dudv,where du denotes the degree of a vertex u in G.A chemical graph is a graph in which no vertex has degree greater than 4.In this paper,we obtain the sharp upper and lower bounds on ABC index of chemical bicyclic graphs.The atom-bond connectivity（ABC） index provides a good model for the stability of linear and branched alkanes as well as the strain energy of cycloalkanes,which is defined as ABC（G） =∑ uv∈E（G） √d u＋dv-2 dudv,where du denotes the degree of a vertex u in G.A chemical graph is a graph in which no vertex has degree greater than 4.In this paper,we obtain the sharp upper and lower bounds on ABC index of chemical bicyclic graphs.

关 键 词：atom-bond connectivity index chemical bicyclic graph bound. 

分 类 号：O621.1[理学—有机化学] O642.4[理学—化学]