On $2$-arc-transitive graphs of order $k{p}^n$

Luke Morgan, Eric Swartz, Gabriel Verret

We show that there exist functions $c$ and $g$ such that, if $k$, $n$ and $d$ are positive integers with $d>g(n)$ and $\Gamma$ is a $d$-valent $2$-arc-transitive graph of order $k{p}^n$…