The Automorphism Group of the Reduced Complete-Empty $X-$Join of Graphs

Adel Tadayyonfar, Ali Reza Ashrafi

Suppose $X$ is a simple graph. The $X-$join $\Gamma$ of a set of complete or empty graphs $\{X_x{\}}_{x\in V(X)}$ is a simple graph with the following vertex and edge sets: \begin{eqnar…