On the automorphism group of direct product of digraphs

Guang Rao, Yu Wang, Binzhou Xia

Determining the conditions under which the direct product of graphs $G$ and $H$ satisfies $\mathrm{Aut}(G\times H)=\mathrm{Aut}(G)\times \mathrm{Aut}(H)$ has been a problem of consi…