Definition:Adjacent (Graph Theory)/Vertices/Digraph
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Definition
Let $G = \struct {V, E}$ be a digraph.
Two vertices $u, v \in V$ of $G$ are adjacent if and only if there exists an arc $e = \tuple {u, v} \in E$ of $G$ to which they are both incident.
Otherwise they are non-adjacent.
Also known as
Adjacent elements of a graph can also be described as neighboring (British English spelling: neighbouring).
Also see
- Results about adjacency in the context of graph theory can be found here.