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On reciprocal molecular topological index

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Abstract

We report some properties of the reciprocal molecular topological index RMTI of a connected graph, and, in particular, its relationship with the first Zagreb index M1. We also derive the upper bounds for RMTI in terms of the number of vertices and the number of edges for various classes of graphs, including K r+1 -free graphs with r ≥ 2, quadrangle-free graphs, and cacti. Additionally, we consider a Nordhaus-Gaddum-type result for RMTI.

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Authors and Affiliations

  1. Department of Mathematics, South China Normal University, Guangzhou, 510631, P.R. China

    Bo Zhou

  2. The Rugjer Bošković Institute, P. O. Box 180, Zagreb, 10 002, Croatia

    Nenad Trinajstić

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  1. Bo Zhou
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  2. Nenad Trinajstić
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Correspondence to Bo Zhou.

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Zhou, B., Trinajstić, N. On reciprocal molecular topological index. J Math Chem 44, 235–243 (2008). https://doi.org/10.1007/s10910-007-9306-y

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  • DOI: https://doi.org/10.1007/s10910-007-9306-y

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