VertexDegree

VertexDegree[g]
gives the list of vertex degrees for all vertices in the graph g.

VertexDegree[g,v]
gives the vertex degree for the vertex v.

VertexDegree[{vw,},]
uses rules vw to specify the graph g.

DetailsDetails

  • VertexDegree is also known as valence.
  • The vertex degree for a vertex v is the number of edges incident to v.
  • For a directed graph g, an edge is incident to a vertex whether it is an in-edge or an out-edge.

ExamplesExamplesopen allclose all

Basic Examples  (3)Basic Examples  (3)

Find the degree for each vertex:

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Find the degree for a specified vertex:

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Vertex degrees of the HararyGraph:

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Introduced in 2010
(8.0)
| Updated in 2015
(10.3)
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