Das S.Kumar V.Barman J.2025-01-132025-01-1320241876990Xhttps://dl.bhu.ac.in/ir/handle/123456789/2909In chemical graph theory, topological indices are numerical quantities associated with the structure of molecular compounds. These indices are utilized in the construction of quantitative structure-property relationships (QSPR) and quantitative structure-activity relationships (QSAR) analysis and quantify the different features of the molecular topology. M-polynomial gives a handy method for managing complex computations involving various indices and offers a consistent methodology to derive multiple degree-based topological indices. Graph entropy measures are employed to measure the structural information content, disorder and complexity of a graph. In this article, we examine the geometric-quadratic (GQ) and quadratic-geometric (QG) indices for silicon carbide networks, namely Si2C3-I[p,q], Si2C3-II[p,q] and Si2C3-III[p,q] with the help of their respective M-polynomials. Next, we propose the idea of the GQ-QG indices-based entropy measure and compute their expressions for the above-said networks. Furthermore, the graphical representation and numerical computation of the GQ-QG indices and associated entropy measures are performed to assess their behavior. These indices and entropy measures may be helpful in predicting the physico-chemical properties and understanding the structural behavior of the considered silicon carbide networks. � The Author(s), under exclusive licence to Springer Nature B.V. 2024.en05C0905C9294A17Entropy measureGQ indexM-polynomialQG indexSilicon carbide networksArticle10.1007/s12633-024-03173-8