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On the SD-Polynomial and SD-Index of an Infinite Class of “Armchair Polyhex Nanotubes”

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Abstract:

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-polynomialof G and was defined as Ω(G, x) = ∑ki-1xi where C1, C2,..., Ck be the “opposite edge strips” ops of Gand ci = |Ci| (I = 1, 2,..., k). One can obtain the Sd-polynomial by replacing xc with x|E(G)|-c in Ω-polynomial. Then the Sd-index will be the first derivative of Sd(x) evaluated at x = 1. In this paper wecompute the Sd-polynomial and Sd-index of an infinite class of “Armchair Polyhe x Nanotubes”.

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Periodical:
International Letters of Chemistry, Physics and Astronomy (Volume 31)
Pages:
63-68
Citation:
M. R. Farahani, "On the SD-Polynomial and SD-Index of an Infinite Class of “Armchair Polyhex Nanotubes”", International Letters of Chemistry, Physics and Astronomy, Vol. 31, pp. 63-68, 2014
Online since:
March 2014
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