The First and Second Zagreb Indices, First and Second Zagreb Polynomials of HAC5C6C7[p,q] and HAC5C7[p,q] Nanotubes

Document Type: Research Paper

Author

Department of Applied Mathematics, Iran University of Science and Technology (IUST), Tehran, I. R. Iran

Abstract

Topological indices are numerical parameters of a molecular graph G which characterize its topology. On
the other hands, computing the connectivity indices of molecular graphs is an important branch in chemical
graph theory. Therefore, we compute First Zagreb index Zg
 
1(G)= uv E
(G ) ( u v ), d d Σ + Second Zagreb index
Zg
 
2(G)=
( ) uv E (G ) u v d d Σ × and their polynomials Zg1(G,x)= ( )
d
 
u dv
uv E G
 
x

Σ
 
+ and Zg2(G,x)= ( )
d
 
udv
uv E G
 
x
Σ for two
famous families of nanotubes “HAC
 
5C6C7[p,q]” and “HAC5C7[p,q]”.
 
 

Keywords