How can the labeling of vertices be represented on a graph?

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The labeling of vertices on a graph can be represented in several ways:

1. A labeled graph can be represented with the vertex labels written next to each vertex.

2. The vertex labels can also be written inside the vertices themselves.

3. In directed graphs, the labels can be represented by arrows pointing from one vertex to another.

4. In weighted graphs, the labels can be represented with numbers or other symbols indicating the weight of each edge.

5. In some cases, the labels may be implicit and understood based on the context of the graph (e.g., in a social network graph, the vertices might represent people and their names are the labels).