Connectivity of Direct Products of Graphs

Wei Wang, Ni-Ni Xue

Let $\kappa (G)$ be the connectivity of $G$ and $G\times H$ the direct product of $G$ and $H$. We prove that for any graphs $G$ and $K_n$ with $n\ge 3$, $κ(G\times K_n)=min\{nκ(G),(n-1)δ…