On structure-sensitivity of degree-based topological indices

被引：168
|
作者：
Furtula, Boris [1 ]
Gutman, Ivan [1 ,2 ]
Dehmer, Matthias [3 ]
机构：
[1] Univ Kragujevac, Fac Sci, Kragujevac 34000, Serbia
[2] King Abdulaziz Univ, Fac Sci, Dept Chem, Jeddah 21589, Saudi Arabia
[3] UMIT, Inst Bioinformat & Translat Res, A-6060 Hall In Tirol, Austria
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 219卷 / 17期
关键词：
Topological indices; Graphs; Structural graph analysis; ATOM-BOND CONNECTIVITY; BOUNDS; 1ST;
D O I：
10.1016/j.amc.2013.03.072
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
One of the general requirements for any topological index TI is that similar molecules have near-lying TI-values, which is referred to as "smoothness". Curiously, however, smoothness of topological indices was until now never examined and never quantified. We now propose a pertinent mathematical model for this property, and undertake a comparative study of the structure-sensitivity of 12 degree-based topological indices by using trees. (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码：8973 / 8978
页数：6
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