Switching $m$-edge-coloured graphs using non-Abelian groups

Chris Duffy, Gary MacGillivray, Ben Tremblay

Let $G$ be a graph whose edges are each assigned one of the $m$-colours $1,2,\dots ,m$, and let $\Gamma$ be a subgroup of $S_m$. The operation of switching at a vertex $x$ with respe…