Wiener index of SC5C7[p,q] nanotubes
YASER ALIZADEH1,*
Affiliation
- Department of Mathematics, Hakim Sabzevari University, Sabzevar, Iran
Abstract
Let G be a simple connected graph with vertex set V (G) and edge set E(G). The distance between two vertices u
and v is the number of edges in the shortest path between u and v that is denoted by d(u, v). The Wiener index is the first
topological index based on distance and is defined as the sum of distances between all pairs of vertices in a graph. In
the other word:
{ , } ( )
1
( ) ( , )
2 i j V G
W G d i j
. In this paper, a method for computing the Wiener index of a simple graph is
presented and we apply this method for computing the Wiener index of family of SC5 C7 [p, q] nanotubes..
Keywords
Wiener Index, SC5 C7 [p, q] Nanotube, GAP programming.
Citation
YASER ALIZADEH, Wiener index of SC5C7[p,q] nanotubes, Optoelectronics and Advanced Materials - Rapid Communications, 7, 11-12, November-December 2013, pp.943-946 (2013).
Submitted at: May 29, 2013
Accepted at: Nov. 7, 2013