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Content available remote The General Connectivity and General Sum-Connectivity Indices of Nanostructures
EN
Let G be a simple graph with vertex set V(G) and edge set E(G). For ∀νi∈V(G), di denotes the degree of νi in G. The Randić connectivity index of the graph G is defined as [1-3] χ(G)= The sum-connectivity index is defined as X(G)= The sum-connectivity index is a new variant of the famous Randić connectivity index usable in quantitative structure-property relationship and quantitative structure-activity relationship studies.The general m-connectivety and general m-sum connectivity indices of G are defined as mχ(G)= andmX(G)= where runs over all paths of length m in G. In this paper, we introduce a closed formula of the third-connectivity index and third-sum-connectivity index of nanostructure "Armchair Polyhex Nanotubes TUAC6[m,n]" (m,n≥1).
EN
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]”.
EN
The m-connectivety and m-sum connectivity indices of G are defined as to be [wzór] and [wzór] where [wzór] runs over all paths of length m in G and di is the degree of vertex νi. In this paper, we give explicit formulas for the second-connectivity and second-sum-connectivity indices of an infinite class of Armchair Polyhex Nanotubes TUAC6[m,n].
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