F-index of Total Transformation Graphs

Nilanjan De

F-index of Total Transformation Graphs

Discrete Mathematics 2016-06-21 v1

Authors: Nilanjan De

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.

Keywords

F-index transformation graphs semitotal point graph semitotal line graph graph theory topological index

Cite

@article{arxiv.1606.05989,
  title  = {F-index of Total Transformation Graphs},
  author = {Nilanjan De},
  journal= {arXiv preprint arXiv:1606.05989},
  year   = {2016}
}

Comments

10 pages

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