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New results on symmetric division deg index

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Abstract

The symmetric division deg index (or simply sdd-index) was proposed by Vukičević et al. as a remarkable predictor of total surface area of polychlorobiphenyls. It is one of discrete Adriatic indices that showed good predictive properties on the testing sets provided by International Academy of Mathematical Chemistry. In this paper, we investigate some properties of this graph invariant in terms of orbit structure of a graph and then we explore new bounds for sdd-index. In continuing, the inverse symmetric division deg index is defined and new results concerning these two graph indices are stablished. Finally, some bounds for both indices are presented.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Shahid Rajaee, Teacher Training University, Tehran, 16785-136, Islamic Republic of Iran

    Modjtaba Ghorbani, Samaneh Zangi & Najaf Amraei

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  1. Modjtaba Ghorbani
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  2. Samaneh Zangi
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  3. Najaf Amraei
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Correspondence to Modjtaba Ghorbani.

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Ghorbani, M., Zangi, S. & Amraei, N. New results on symmetric division deg index. J. Appl. Math. Comput. 65, 161–176 (2021). https://doi.org/10.1007/s12190-020-01386-9

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  • DOI: https://doi.org/10.1007/s12190-020-01386-9

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