On k-distance degree based topological indices of benzenoid systems

TL;DR

This paper introduces new k-distance degree-based topological indices for benzenoid systems and computes their values to analyze physiochemical properties of molecular graphs.

Contribution

It develops and calculates novel k-distance degree-based topological indices for specific benzenoid systems, expanding the tools for molecular property prediction.

Findings

New indices like leap-Somber and hyper leap forgotten index are defined and computed.

Numerical analysis links indices to physiochemical properties.

Results enhance understanding of molecular structure-property relationships.

Abstract

Topological indices are graph invariants numeric quantities, which are utilized by researchers to analyze a variety of physiochemical aspects of molecules. The goal of developing topological indices is to give each chemical structure a numerical value while maintaining the highest level of differentiation. Using these indices, the classification of various structures, and their physiochemical and biological properties can be predicted. In this paper, the leap and leap hyper Zagreb indices, as well as their polynomials for a zigzag benzenoid system $Z_{p}$ and a rhombic benzenoid system $R_{p}$ are determined. In addition, new $k$-distance degree-based topological indices such as leap-Somber index, hyper leap forgotten index, leap $Y$ index, and leap $Y$ coindex are also computed for the molecular graphs of $Z_p$ and $R_p$. Furthermore, their numerical computation and discussion are performed to determine the significance of their physiochemical properties.