DegreeCentrality
DegreeCentrality[g] gives a list of vertex degrees for the vertices in the underlying simple graph of g.
DegreeCentrality[g, "In"] gives a list of vertex in-degrees.
DegreeCentrality[g, "Out"] gives a list of vertex out-degrees.
Examples
Compute degree centrality:
g = Graph[{1 <-> 2, 2 <-> 3, 2 <-> 4, 3 <-> 4}];
DegreeCentrality[g]
(* {1, 3, 2, 2} *)For a directed graph:
dg = Graph[{1 -> 2, 2 -> 3, 1 -> 3}];
DegreeCentrality[dg, "Out"]Please visit the official Wolfram Language Reference for more details.