2 problems

Let $G$ and $H$ be connected graphs on the same vertex set, and let $f: V(G) \to V(H)$ be a bijection. The groups $\tilde A(G,H,f)$, $\bar A(G,H,f)$, and $\hat B(G,H,f)$ are the au…

Let $G$ and $H$ be $2$-connected graphs, and let $f: V(G) \to V(H)$ be any mapping. The group $\tilde A(G,H,f)$ and the automorphism group of the Sierpiński product $G \otimes_f H$…