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Wiener and Schultz Indices of TUC 4 C 8 R Nanotubes

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The Wiener index of a graph G is defined as W(G) = 1/2 Σ{i, j}⊆V(G) d(i, j), where V(G) is the set of all vertices of G and for i, jV(G), d(i, j is the minimum distance between i and j. Stefu and Diudea (see Monica Stefu and Mircea V. Diudea, MATCH Commun. Math. Comput. Chem. 50, 133 (2004)) computed the Wiener index of the TUC 4 C 8(R) nanotubes. In this paper we compute the Wiener index of these nanotubes by finding the distances between all vertices of the graph i.e., the distance matrix. As a corollary of this method we also compute the Schultz (molecular topological) of TUC 4 C 8(R).
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Keywords: NANOTUBES; SCHULTZ INDEX; TOPOLOGICAL INDICES; WIENER INDEX

Document Type: Research Article

Publication date: 01 February 2007

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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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