Topological Properties of 2-Dimensional Silicon-Carbons

There are immense applications of graph theory in chemistry and in the study of molecular structures, and after that, it has been increasing exponentially. Molecular graphs have points (vertices) representing atoms and lines (edges) that represent bonds between atoms. In this paper, we study the molecular graph of 2-<inline-formula> <tex-math notation="LaTeX">$D$ </tex-math></inline-formula> silicon–carbon <italic>Si</italic><sub>2</sub><italic>C</italic><sub>3</sub>-<inline-formula> <tex-math notation="LaTeX">$I$ </tex-math></inline-formula> and <italic>Si</italic><sub>2</sub><italic>C</italic><sub>3</sub>-<inline-formula> <tex-math notation="LaTeX">$II$ </tex-math></inline-formula> and analyzed its topological properties. For this purpose, we have computed topological indices, namely forgotten topological index, augmented Zagreb index, and Balaban index, and redefined first, second, and third Zagreb indices of 2-<inline-formula> <tex-math notation="LaTeX">$D$ </tex-math></inline-formula> silicon–carbon <italic>Si</italic><sub>2</sub><italic>C</italic><sub>3</sub>-<inline-formula> <tex-math notation="LaTeX">$I$ </tex-math></inline-formula> and <italic>Si</italic><sub>2</sub><italic>C</italic><sub>3</sub>-<inline-formula> <tex-math notation="LaTeX">$II$ </tex-math></inline-formula>.

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