A Mathematical Investigation for the Temperature Indices of \(SiO_{4}\) in Silicate and Silicate Chain Networks

A topological index is a numerical metric derived from mathematical computations that rely on the characteristics of a graph’s structure. The indices in chemical graph theory are employed to quantify the chemical properties of chemical compounds. This paper computes different temperature indices for the molecular graph of the silicate network and the silicate chain network. These indices include the harmonic temperature index, the inverse sum indeg temperature index, the first Gourava temperature index, the second Gourava temperature index, and the sombor temperature index. Additionally, we establish correlations between the temperature indices of \(\varvec{SN_{p}}\) $\mathit{S}{\mathit{N}}_{\mathit{p}}$ and \(\varvec{CN_{p}}\) $\mathit{C}{\mathit{N}}_{\mathit{p}}$ .