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On Connectivity Indices of an Infinite Family of Popam Dendrimers

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The m-order connectivity index m χ(G) of a graph G is m χ(G) = Σ vi1 vi2 ,..., vim+1 1/√d i1 d i2 ,..., d im+1, where d i1 d i2 ,..., d im+1 runs over all paths of length m in G and d i denotes the degree of vertex v i. Also ms X(G) = Σ vi1 v i2 ,..., v im+1 1/√d i1 + d i2 + · · · + dim +1 is its m-sum connectivity index. A dendrimer is an artificially manufactured or synthesized molecule built up from branched units called monomers. In this paper, the 2-, 3- and 4-order connectivity indices of an infinite family of popam dendrimer are computed.

Keywords: CONNECTIVITY INDEX; DENDRIMER; GRAPH

Document Type: Research Article

Publication date: 01 November 2013

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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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