On the Automorphisms of Token Graphs Generated by $2$-cuts with the Same Neighbours

Ruy Fabila-Monroy, Sergio Gerardo Gómez-Galicia, Daniel Gregorio-Longino +2

Let $G$ be a connected graph on $n$ vertices and $1\le k\le n-1$ an integer. The $k$-token graph of $G$ is the graph $F_k(G)$ whose vertices are all the $k$-subsets of vertices o…