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Padmakar-Ivan Index of TUC4C8(S) Nanotubes

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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.

Keywords: PI INDEX; TUC4C8(S) NANOTUBE

Document Type: Research Article

DOI: https://doi.org/10.1166/jctn.2006.007

Publication date: 2006-06-01

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  • Journal of Computational and Theoretical Nanoscience is an international peer-reviewed journal with a wide-ranging coverage, consolidates research activities in all aspects of computational and theoretical nanoscience into a single reference source. This journal offers scientists and engineers peer-reviewed research papers in all aspects of computational and theoretical nanoscience and nanotechnology in chemistry, physics, materials science, engineering and biology to publish original full papers and timely state-of-the-art reviews and short communications encompassing the fundamental and applied research.
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