Abstract
In recent years, several structure-based properties of the molecular graphs are understood through the chemical graph theory. The molecular graph
G
G
of a molecule consists of vertices and edges, where vertices represent the atoms in a molecule and edges represent the chemical bonds between these atoms. A numerical quantity that gives information related to the topology of the molecular graphs is called a topological index. Several topological indices, contributing to chemical graph theory, have been defined and vastly studied. Recent inclusions in the class of the topological indices are the K-Banhatti indices. In this paper, we established the precise formulas for the first and second K-Banhatti, modified K-Banhatti, K-hyper Banhatti, and hyper Revan indices of silicon carbide
Si
2
C
3
{{\rm{Si}}}_{2}{{\rm{C}}}_{3}
-
III
[
n
,
m
]
{\rm{III}}\left[n,m]
. In addition, we present the graphical analysis along with the comparison of these indices for
Si
2
C
3
{{\rm{Si}}}_{2}{{\rm{C}}}_{3}
-
III
[
n
,
m
]
{\rm{III}}\left[n,m]
.