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2 International Letters of Chemistry, Physics and Astronomy

2 2014

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Π(G,x) polynomial and (G) index of Armchair Polyhex Nanotubes TUAC6 [m,n]

Farahani M. R.

International Letters of Chemistry, Physics and Astronomy

2014

Vol. 17, iss. 2

201--206

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 ) = [wzór] where m(G,c) be the 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) = [wzór]. In this paper we compute the Pi polynomial Π(G,x) =[wzór] and Pi index Π(G ) = [wzór] of an infinite class of “Armchair Polyhex Nanotubes TUAC 6 [m,n]”.

On the SD- polynomial and SD- index of an infinite class of “Armchair Polyhex Nanotubes”

Farahani M. Z.

International Letters of Chemistry, Physics and Astronomy

2014

Vol. 12

63--68

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, Diudea introduced the Ω-polynomial of G and was defined as Ω(G, x) = Σk i=1 X c, where C 11, C2..., Ck be the “opposite edge strips” ops of G and ci = |C i| (I = 1, 2,..., k). One can obtain the Sd-polynomial by replacing xc with xE(G)-c in Ω-polynomial. Then the Sd-index will be the first derivative of Sd(x) evaluated at x = 1. In this paper we compute the Sd-polynomial and Sd-index of an infinite class of “Armchair Polyhex Nanotubes”.