BI-DISTANCE PROCEDURE FOR EVALUATING THE TOPOLOGICAL INDICES FOR RHOMBUS OXIDE NETWORK

Muhammad Imran; Muhammad Rizwan Wahala; Muhammad Nawazish Zaman; Saima Mushtaq; Zunera Shoukat

doi:10.71146/kjmr291

Authors

Muhammad Imran Faculty of Sciences, The Superior University Lahore, Pakistan Author
Muhammad Rizwan Wahala Faculty of Sciences, The Superior University Lahore, Pakistan Author
Muhammad Nawazish Zaman Faculty of Sciences, The Superior University Lahore, Pakistan Author
Saima Mushtaq Faculty of Sciences, The Superior University Lahore, Pakistan Author
Zunera Shoukat Faculty of Sciences, The Superior University Lahore, Pakistan Author

DOI:

https://doi.org/10.71146/kjmr291

Keywords:

bi-distance edges, edge computing, molecular structure, rhombus oxide network, topological index, Randic index, harmonic index, geometric arithmetic index, forgotten index, symmetric division index, atom bond connectivity index, structure analysis

Abstract

This study explores the fractal nature of rhombus oxide network, leveraging molecular structure descriptors to correlate chemical structure with biological activity in pharmacology. By translating networks into graphical forms and utilizing degree-based topological indices, we calculate various indices (Randić, geometric arithmetic, atom bond connectivity, and more) and their polynomials for rhombus graphs using Mathematica. This computational approach enables the estimation of fractal, thermodynamic, and physicochemical aspects of chemical structures, informing configuration, impact resistance, and design in technical and scientific advancements. Our results provide a comprehensive understanding of chemical graph theory, facilitating the correlation of chemical structure with biological activity and contributing to significant advancements in pharmacology and materials science.