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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”.