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The Hosoya Index of an Infinite Class of Dendrimer Nanostars

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A dendrimer nanostar is a tree-like highly branched polymer molecule. Dendrimer nanostars are synthesized from monomers with new branches added in discrete steps to form a tree-like architecture. They have some proven applications, and numerous potential applications. Let G is a connected graph with vertex set V and edge set E, the Hosoya index of a graph is defined as the total number of its matchings. We obtain exact formulas for calculating the Hosoya index of dendrimer nanostars.

Keywords: DENDRIMER; HOSOYA INDEX; MATCHING; NANOSTARS

Document Type: Research Article

Publication date: 01 April 2011

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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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