Super Edge-Connectivity of Transformation Graphs $G^{-++}$

Abstract

In this paper, we prove that for any graph $G$, $\lambda (G^{+++})=\delta (G^{-++})$ and all but for a few exceptions, $G^{-++}$ is super edge-connectivity where $G^{-++}$ is the transformation graph of a graph $G$ introduced in $[1]$.