Graph theory has many applications in the chemistry and analysis of molecular structures and has grown popular. Topological descriptors are numeric numbers that contain chemical information and provide structural features of compounds relevant to the chemical approach. The most important components in topological indices are the physical-chemical properties of essential chemical substances. The molecular graph of 2D silicon-carbide structures is investigated in this paper. The scope of this paper is to determine the bond-breaking energy and the stability measure of silicon-carbides with topological indices.