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.
Details

- 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.
Examples
open all close allBasic Examples (3)
Find the degree for each vertex:
Find the degree for a specified vertex:
Vertex degrees of the HararyGraph:
Scope (6)
Applications (4)
Properties & Relations (15)
Introduced in 2010
Updated in 2015
(8.0)
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(10.3)