On Some Properties of Multiplicative Topological Indices in Silicon-Carbon

Abstract

The use of graph theory can be visualized in nanochemistry, computer networks, Google maps, and molecular graph which are common areas to elaborate application of this subject. In nanochemistry, a numeric number (topological index) is used to estimate the biological, physical, and structural properties of chemical compounds that are associated with the chemical graph. In this paper, we compute the first and second multiplicative Zagreb indices ( $M_1\left(G\right)$ and ( $M_1\left(G\right)$ )), generalized multiplicative geometric arithmetic index ( ${\text{GA}}^{\alpha }\text{II}\left(G\right)$ ), and multiplicative sum connectivity and multiplicative product connectivity indices ( $\text{SCII}\left(G\right)$ and $\text{PCII}\left(G\right)$ ) of ${\text{SiC}}_4-I\left[m,n\right]$ and ${\text{SiC}}_4-\text{II}\left[m,n\right]$ .