VertexDegree

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

Examples

Get all vertex degrees:

g = Graph[{1 <-> 2, 2 <-> 3, 3 <-> 1, 1 <-> 4}]
VertexDegree[g]
(* {3, 2, 2, 1} *)

Degree of a specific vertex:

VertexDegree[g, 1]
(* 3 *)

Complete graph degrees:

VertexDegree[CompleteGraph[5]]
(* {4, 4, 4, 4, 4} *)

Please visit the official Wolfram Language Reference for more details.