Definition:Degree Sequence

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Definition

Let $G = \struct {V, E}$ be a graph.

The degree sequence of $G$ is the sequence obtained by listing all the degrees of all the vertices of $G$ in ascending order, with repeats as needed.


Example

ExampleOfGraph.png

The degree sequence of this graph is $\tuple {1, 2, 2, 3, 3, 3, 4}$.