Definition:Graph (Graph Theory)/Vertex

Definition
Let $G = \left({V, E}\right)$ be a graph.

The vertices (singular: vertex) are the elements of $V$.

Informally, the vertices are the points that are connected by the edges.

Also see
When $G$ is a tree, the vertices are usually called nodes.

If $e \in E$ is an edge joining the vertex $u$ to the vertex $v$, $u$ and $v$ are called the endvertices of $e$.