F-index of Total Transformation Graphs

preprint2016arXivOpen access

Abstract

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

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