Definition:Graph (Graph Theory)/Edge

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

The edges are the elements of $$E$$.

Informally, the edges are the lines that join the vertices together.

When $$G$$ is a digraph, the edges are usually called arcs.

If $$e \in E$$ is an edge joining the vertex $$u$$ to the vertex $$v$$, it is denoted $$uv$$.

$$u$$ and $$v$$ are called the endvertices of $$e$$.