TY - JOUR
T1 - On topological properties of sierpinski networks
AU - Imran, Muhammad
AU - Sabeel-e-Hafi, S. H.
AU - Gao, Wei
AU - Reza Farahani, Mohammad
N1 - Funding Information:
The authors would like to thank the referees for their constructive suggestions and useful comments which resulted in an improved version of this paper. This research is supported by the Start Up Research Grant (5) 2016 of United Arab Emirates University, Al Ain, United Arab Emirates via Grant No. G00002233.
Publisher Copyright:
© 2017 Elsevier Ltd
PY - 2017/5/1
Y1 - 2017/5/1
N2 - 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).
AB - 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).
KW - Atom-bond connectivity index
KW - Geometric-arithmetic index
KW - Sierpinski network
UR - http://www.scopus.com/inward/record.url?scp=85016013075&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85016013075&partnerID=8YFLogxK
U2 - 10.1016/j.chaos.2017.03.036
DO - 10.1016/j.chaos.2017.03.036
M3 - Article
AN - SCOPUS:85016013075
SN - 0960-0779
VL - 98
SP - 199
EP - 204
JO - Chaos, Solitons and Fractals
JF - Chaos, Solitons and Fractals
ER -