On ‎Nirmala ‎Indices-based ‎Entropy Measures of ‎Silicon ‎Carbide Network

Abstract

‎Topological indices are numerical parameters for understanding the fundamental topology of chemical structures that correlate with the quantitative structure-property relationship (QSPR)‎ / ‎quantitative structure-activity relationship (QSAR) of chemical compounds‎. ‎The M-polynomial is a modern mathematical approach to finding the degree-based topological indices of molecular graphs‎.‎Several graph assets have been employed to discriminate the construction of entropy measures from the molecular graph of a chemical compound‎. ‎Graph entropies have evolved as information-theoretic tools to investigate the structural information of a molecular graph‎. ‎The possible applications of graph entropy measures in chemistry‎, ‎biology and discrete mathematics have drawn the attention of researchers‎. ‎In this research work‎, ‎we compute the Nirmala index‎, ‎first and second inverse Nirmala index for silicon carbide network $Si_{2}C_{3}\textit{-I}[p,q]$ with the help of its M-polynomial‎. ‎Further‎, ‎we introduce the concept of Nirmala indices-based entropy measure and enumerate them for the above-said network‎. ‎Additionally‎, ‎the comparison and correlation between the Nirmala indices and their associated entropy measures are presented through numerical computation and graphical approaches‎. ‎Following that‎, ‎curve fitting and correlation analysis are performed to investigate the relationship between the Nirmala indices and corresponding entropy measures.