首页|The atom-bond connectivity index of chemical bicyclic graphs

The atom-bond connectivity index of chemical bicyclic graphs

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The atom-bond connectivity (ABC) index provides a good model for the stabilityof linear and branched alkanes as well as the strain energy of cycloalkanes,which is defined as ABC(G) =Σuv∈(G)√ du +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.

atom-bond connectivity indexchemical bicyclic graphbound

CHEN Jin-song、GUO Xiao-feng

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College of Mathematics and Computer Science,Hunan Normal University,Changsha 410081,China

College of Mathematics and Computer Science,Fuzhou University,Fuzhou 350108,China

School of Mathematical Sciences,Xiamen University,Xiamen 361005,China

国家自然科学基金国家自然科学基金国家自然科学基金国家自然科学基金Young Talent Foundation of Fuzhou University

11071272108310011117127911101087XRC-1154

2012

高校应用数学学报B辑(英文版)
浙江大学 中国工业与应用数学学会

高校应用数学学报B辑(英文版)

CSCD
影响因子:0.146
ISSN:1005-1031
年,卷(期):2012.27(2)
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