Let $G$ be a directed clique. Prove that $$G \text{ has Hamiltonian cycle} \Leftrightarrow G\text{ is strongly connected}$$
$(\Rightarrow)$ is obvious, but I completely don't know how to prove $(\Leftarrow)$
Let $G$ be a directed clique. Prove that $$G \text{ has Hamiltonian cycle} \Leftrightarrow G\text{ is strongly connected}$$
$(\Rightarrow)$ is obvious, but I completely don't know how to prove $(\Leftarrow)$