Let $G=(V,E)$ be a directed graph where $V$ is the set of vertices and $E$ the set of edges. Then which one of the following graphs has the same strongly connected components as $G$ ?

Two vertices $u$ and $v$ belong to the same strongly connected component (SCC) in $G$ if and only if there is a directed path from $u$ to $v$ and a directed path from $v$ to $u$ in $G$.

In the transpose graph $G^T = G_2 = (V, E_2)$, where $E_2 = \{(u, v) \mid (v, u) \in E\}$, every edge direction is reversed.

• If there is a path from $u$ to $v$ in $G$, there is a path from $v$ to $u$ in $G^T$.

• If there is a path from $v$ to $u$ in $G$, there is a path from $u$ to $v$ in $G^T$.

Therefore, vertices $u$ and $v$ are mutually reachable in $G$ if and only if they are mutually reachable in $G^T$. Hence, the transpose graph $G_2$ has exactly the same strongly connected components as $G$, making (B) the correct option.