# Definition:Vertex Set

## Definition

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

The set $V$ of vertices in $G$ is called the **vertex set**.

It is often convenient to refer to the **vertex set** for a given graph $G$ as $V \left({G}\right)$, especially if there is at any one time more than one graph under consideration.

## Also see

## Sources

- 1977: Gary Chartrand:
*Introductory Graph Theory*... (previous) ... (next): $\S 1.3$: Graphs