Definition:Graph (Graph Theory)/Vertex

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.

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 $$e$$.