Padmakar-Ivan Index of TUC4C8(S) Nanotubes
Abstract:A C4C8 net is a trivalent decoration made by alternating squares C4 and octagons C8. Such a covering can be derived from square net by the leapfrog operation. Stefu and Diudea recently computed the Wiener index of such nanotubes (see Monica Stefu and Mircea V. Diudea, MATCH—Commun. Math. Comput. Chem. 50, 133 (2004).). The Padmakar-Ivan (PI) index of a graph G is defined as PI(G) = Σ[n eu (e|G) + n ev (e|G)], where n eu (e|G) is the number of edges of G lying closer to u than to v, n ev (e|G) is the number of edges of G lying closer to v than to u and summation goes over all edges of G. This topological Index is developed very recently. In this paper, an exact expression for PI index of the TUC4C8(S) nanotubes is given.
Document Type: Research Article
Publication date: 2006-06-01
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