F-index of Total Transformation Graphs

Abstract

The F-index of a graph $G$ is the sum of the cubes of the degrees of the vertices of $G$. In this paper, explicit expressions for the F-index of different transformation graphs of type $G^{xyz}$ with $x,y,z\in \{-,+\}$ are obtained. F-index for semitotal point graph and semitotal line graph are also obtained here.

10 pages