On supersingular isogeny graphs of Drinfeld modules

We study supersingular isogeny graphs of rank-two Drinfeld modules over $A=\mathbb{F}_q[T]$. For distinct finite primes $\mathfrak p$ and $\mathfrak q$ of $A$, we prove that the graph in characteristic $\mathfrak p$, with edges given by cyclic $\mathfrak q$-isogenies, is connected. The proof combine