Topological and Hyper Topological Coindices of Benzenoid Circumcoronene Series

Authors

Walid Yousef, Department of Information Technology, Faculty of Computing and IT, University of Science and Technology, Sana’a, YemenFollow
Abdu Alameri, Department of Biomedical Engineering, Faculty of Engineering, University of Science and Technology, Sana’a, YemenFollow
Mohammed Alsharafi, Department of Biomedical Engineering, Faculty of Engineering, University of Science and Technology, Sana’a, YemenFollow
Noman Al-Naggar, Department of Biomedical Engineering, Faculty of Engineering, University of Science and Technology, Sana’a, YemenFollow
Belal Al-Fuhaid, Department of Computer Science, Faculty of Computing and IT, University of Science and Technology, Sana’a, YemenFollow

Abstract

Numerous applications in chemistry are enabled by chemical graph theory, which is a branch of graph theory. Numerical quantities derived from the chemical graphs of a molecule, known as topological indices and co-indices, are used to model the chemical and physical properties of molecules in quantitative Structure-Property relationships (QSPR) and quantitative structure-activity relationships (QSAR) research. Fortunately, chemical-based experiments have found a strong connection between Topological descriptors (topological indices and co-indices) of molecular structures and their Physicochemical Properties, such as boiling point, and toxicity of drugs. Although several research reports have contributed to the computation of topological indices of the benzenoid circumcoronene series, studies on the calculation of topological co-indices are limited. This paper focuses on some topological co-indices. Several formulas of topological co-indices such as first Zagreb, second Zagreb, forgotten, and Yemen co-indices have been derived for the benzenoid circumcoronene series. In addition, the paper introduced new topological indices and their co-indices such as Gaza, Quds, and Palestine indices and co-indices and their mathematical formulas of the benzenoid circumcoronene series. Moreover, some algorithms have been built using Python programs to implement the mathematical formulas that are generally derived.

Keywords

Benzenoid Circumcoronene Series, Chemical Graph Theory, Molecular Graphs, Topological Co-indices, Topological Indices

Subject Area

Mathematics

Article Type

Article

First Page

966

Last Page

978

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite this Article

Yousef, Walid; Alameri, Abdu; Alsharafi, Mohammed; Al-Naggar, Noman; and Al-Fuhaid, Belal (2025) "Topological and Hyper Topological Coindices of Benzenoid Circumcoronene Series," Baghdad Science Journal: Vol. 22: Iss. 3, Article 22.
DOI: https://doi.org/10.21123/bsj.2024.10588