On topological properties of sierpinski networks

被引：29
作者：
Imran, Muhammad [1 ,2 ]
Sabeel-e-Hafi [2 ]
Gao, Wei [3 ]
Farahani, Mohammad Reza [4 ]
机构：
[1] United Arab Emirates Univ, Dept Math Sci, POB 15551, Al Ain, U Arab Emirates
[2] Natl Univ Sci & Technol, Sch Nat Sci, Dept Math, Sect H-12, Islamabad, Pakistan
[3] Yunnan Normal Univ, Sch Informat Sci & Technol, Kunming 650500, Peoples R China
[4] Iran Univ Sci & Technol, Dept Appl Math, Tehran 16844, Iran
来源：
CHAOS SOLITONS & FRACTALS | 2017年 / 98卷
关键词：
Atom-bond connectivity index; Geometric-arithmetic index; Sierpinski network; GEOMETRIC-ARITHMETIC INDEXES; CONNECTIVITY INDEX; ABC INDEX; NANOTUBES; GRAPHS; COMPUTATION; FULLERENES; TREES;
D O I：
10.1016/j.chaos.2017.03.036
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Sierpinski graphs constitute an extensively studied class of graphs of fractal nature applicable in topology, mathematics of Tower of Hanoi, computer science, and elsewhere. A large number of properties like physico-chemical properties, thermodynamic properties, chemical activity, biological activity, etc. are determined by the chemical applications of graph theory. These properties can be characterized by certain graph invariants referred to as topological indices. In QRAR/QSPR study these graph invariants has played a vital role. In this paper, we study the molecular topological properties of Sierpinski networks and derive the analytical closed formulas for the atom-bond connectivity (ABC) index, geometric-arithmetic (GA) index, and fourth and fifth version of these topological indices for Sierpinski networks denoted by S(n, k). (C) 2017 Elsevier Ltd. All rights reserved.
引用
收藏
页码：199 / 204
页数：6
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