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The Geometric-Arithmetic Index of Nanotubes

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The geometric-arithmetic (GA) index is a newly proposed graph invariant in mathematical chemistry. The geometric-arithmetic index of a graph G is defined as GA(G) = ΣeE(G)2√dudv/(du+dv), where du (or dv) is the degree the vertex u (or v). A nanostructure is an object of intermediate size between molecular and microscopic structures. The most important of these new materials are carbon nanotubes. The GA index of some nanotubes are computed in this paper.

Keywords: GEOMETRIC-ARITHMETIC INDEX; NANOTUBES; TOPOLOGICAL INDICES

Document Type: Research Article

Publication date: 01 October 2010

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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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