Definition:Reachability Relation/Definition 2

Definition
Let $G = (V, A)$ be a directed graph.

Let $\mathcal R$ be the relation on $V$ defined by letting $x \mathrel{\mathcal R} y$ iff $y$ is reachable from $x$.

That is, $x \mathrel{\mathcal R} y$ iff there exists a directed walk from $x$ to $y$.

Then $\mathcal R$ is the reachability relation of $G$.