On the Difference of Atom-Bond Connectivity Index and Randic Index with Some Topological Indices

被引:1
作者
Hasni, Roslan [1 ]
Husin, Mohamad Nazri [1 ]
Movahedi, Fateme [2 ]
Gobithaasan, Rudrusamy [1 ]
Akhbari, Mohammad Hadi [3 ]
机构
[1] Univ Malaysia Terengganu, Fac Ocean Engn Technol & Informat, Special Interest Grp Modelling & Data Analyt SIGM, Terengganu 21030, Malaysia
[2] Golestan Univ, Dept Math, Fac Sci, Gorgan, Golestan, Iran
[3] Islamic Azad Univ, Estahban Branch, Dept Math, Estahban, Iran
来源
IRANIAN JOURNAL OF MATHEMATICAL CHEMISTRY | 2022年 / 13卷 / 01期
关键词
Geometric-arithmetic index; Zagreb index; Randio index; Atom-bond connectivity (ABC) index; ABC INDEX; ZAGREB INDEXES; GRAPHS; TREES;
D O I
10.22052/IJMC.2022.246069.1611
中图分类号
O6 [化学];
学科分类号
0703 ;
摘要
Assume G denotes a connected and simple graph with edge set E(G) as well as vertex set V(G). In chemical graph theory, the atom-bond connectivity ABC index as well as the Randio index of graph G are two well-defined topological indices. In addition, Ali and Du [On the difference between ABC and Randio indices of binary and chemical trees, Int. J. Quantum Chem. (2017) e25446] recently unveiled the distinction between Randio and ABC indices. In this report, we study the link between the difference of Randio and ABC indices with certain well-studied topological indices. (c) 2022 University of Kashan Press. All rights reserved
引用
收藏
页码:19 / 32
页数:14
相关论文
共 40 条
[1]   On the difference between atom-bond connectivity index and Randic index of binary and chemical trees [J].
Ali, Akbar ;
Du, Zhibin .
INTERNATIONAL JOURNAL OF QUANTUM CHEMISTRY, 2017, 117 (23)
[2]  
Bollobás B, 1998, ARS COMBINATORIA, V50, P225
[3]  
Borovicanin B., 2017, BOUNDS CHEM GRAPH TH, P76
[4]  
Borovicanin B, 2017, MATCH-COMMUN MATH CO, V78, P17
[5]  
Chen JS, 2011, MATCH-COMMUN MATH CO, V65, P713
[6]   The maximum atom-bond connectivity index for graphs with edge-connectivity one [J].
Cui, Qing ;
Qian, Qiuping ;
Zhong, Lingping .
DISCRETE APPLIED MATHEMATICS, 2017, 220 :170-173
[7]   Sum-connectivity index of a graph [J].
Das, Kinkar Ch. ;
Das, Sumana ;
Zhou, Bo .
FRONTIERS OF MATHEMATICS IN CHINA, 2016, 11 (01) :47-54
[8]   Comparison between first geometric-arithmetic index and atom-bond connectivity index [J].
Das, Kinkar Ch. ;
Trinajstic, N. .
CHEMICAL PHYSICS LETTERS, 2010, 497 (1-3) :149-151
[9]  
Devillers J., 1999, QSAR QSPR
[10]   On structural properties of trees with minimal atom-bond connectivity index II: Bounds on B1- and B2-branches [J].
Dimitrov, Darko .
DISCRETE APPLIED MATHEMATICS, 2016, 204 :90-116