\begin{definition}[Definition:Neighborhood (Graph Theory)]
Let $G = \struct {V, E}$ be a graph.
Let $v \in V$ be a vertex of $G$.
The '''neighborhood of $v$ in $G$''' is:
:$\map {\Gamma_G} v = \set {u \in V : u v \in E}$
That is, it is the set of all vertices which are adjacent to $v$.
{{Languages|Neighborhood}}
{{Language|Dutch|nabuurschap}}
{{Language|French|voisinage}}
{{End-languages}}
\end{definition}