Let *G* be a simple connected graph with the vertex set *V = V(G)* and the edge set *E = E(G)*, without loops and multiple edges. For counting *qoc* strips in *G*, Omega *polynomial* was introduced by *Diudea* and was defined as Ω(G,x) = ∑_{c}m(G,c)x^{c} where m(G,c) be number of *qoc* strips of length *c* in the graph *G*. Following Omega polynomial, the Sadhana polynomial was defined by *Ashrafi* et al as Sd(G,x) = ∑_{c}m(G,c)x^{[E(G)]-c} in this paper we compute the *Pi* polynomial Π(G,x) = ∑_{c}m(G,c)x^{[E(G)]-c} and *Pi* Index Π(G ) = ∑_{c}c·m(G,c)([E(G)]-c) of an infinite class of “*Armchair polyhex nanotubes TUAC*_{6}[m,n]”*.*

Periodical:

International Letters of Chemistry, Physics and Astronomy (Volume 36)

Pages:

201-206

DOI:

10.18052/www.scipress.com/ILCPA.36.201

Citation:

M. R. Farahani "Π(G,x) Polynomial and Π(G) Index of Armchair Polyhex Nanotubes TUAC_{6}[m,n]", International Letters of Chemistry, Physics and Astronomy, Vol. 36, pp. 201-206, 2014

Online since:

Jul 2014

Authors:

Keywords:

Distribution:

Open Access

This work is licensed under a

Creative Commons Attribution 4.0 International License