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Due to its high chemical and thermal stability, tri-s-triazine (g − C 3 N 4) is a potential nanomaterial used in water purification and catalysis. Tri-s-triazine is released into the environment as a contaminant since it is occasionally utilized as a precursor or byproduct in industrial processes. Based on its chemical structure, we compute the new Zagreb-type indices to learn more about its connection and bonding patterns. We may construct the entropy measure using these indices to assess the material's stability and forecast its behavior under various circumstances. We establish mathematical links between the Zagreb-type indices and entropy by performing logarithmic regression, which helps optimize its use in particular applications. Also, we use the Pearson correlation coefficient. [Display omitted] Tri-s-triazine is released into the environment as a contaminant since it is occasionally utilized as a precursor or byproduct in industrial processes. Based on its chemical structure, we compute the new Zagreb-type indices to learn more about its connection and bonding patterns. We may construct the entropy measure using these indices to assess the material's stability and forecast its behavior under various circumstances. We establish mathematical links between the Zagreb-type indices and entropy by performing logarithmic regression, which helps optimize its use in particular applications. Also, we use the Pearson correlation coefficient. [ABSTRACT FROM AUTHOR]