https://doi.org/10.1140/epjp/s13360-023-04513-0
Regular Article
Some bond-additive topological indices of four types of dendrimers
1
Department of Mathematics, Safadasht Branch, Islamic Azad University, Tehran, Iran
2
Department of Mathematics, Kazerun Branch, Islamic Azad University, P. O. Box: 73135-168, Kazerun, Iran
b mahdie.azari@gmail.com, mahdieh.azari@iau.ac.ir
Received:
4
August
2023
Accepted:
22
September
2023
Published online:
7
October
2023
Numerical values that capture the symmetry of molecular structures are called topological indices. Topological indices are said to be bond-additive if they are formulated as a sum of edge (chemical bond) contributions and they are called vertex-degree-based if they can be written based on the vertex degrees (valances of atoms) of the chemical graph. The Albertson irregularity index, max–min deg index, symmetric division deg index, atom-bond sum-connectivity index and arithmetic–geometric index are among the bond-additive vertex-degree-based topological indices which have been shown better predictive ability compared with some well-known already-established indices. In this paper, we use the edge-partition method to present exact values of the aforementioned topological indices for four types of dendrimer structures, namely polypropyl ether imine dendrimer, polyethylene amido amine dendrimer, zinc porphyrin dendrimer and porphyrin dendrimer. Our findings could be of use in predicting certain physicochemical properties of these macromolecules.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
