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The Modified Eccentric Connectivity Index of Nanocomposites

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The modified eccentric connectivity index of a graph G is defined as ξ c(G) = ∑ vv(G) δ(v)G (v), where G(v) is the eccentricity of vertex v and δ(v) is the sum of the degrees of its neighborhoods. In this paper, we investigate the modified eccentric connectivity index of a class of composite graphs, namely, corona, and we present explicit formula for the modified eccentric connectivity index of corona graphs. Also, the results are applied to compute this eccentricity-related invariant for some important classes of graphs by specializing components of this graph operation. In addition, an algorithm is designed for calculating the modified eccentric connectivity index of simple graphs.
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Document Type: Research Article

Publication date: 01 September 2015

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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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