Expected Degree Sequence

Random graph from given degree sequence.

Degree histogram
degree (#nodes) ****
 0 ( 0)
 1 ( 0)
 2 ( 0)
 3 ( 0)
 4 ( 0)
 5 ( 0)
 6 ( 0)
 7 ( 0)
 8 ( 0)
 9 ( 0)
10 ( 0)
11 ( 0)
12 ( 0)
13 ( 0)
14 ( 0)
15 ( 0)
16 ( 0)
17 ( 0)
18 ( 0)
19 ( 0)
20 ( 0)
21 ( 0)
22 ( 0)
23 ( 0)
24 ( 0)
25 ( 0)
26 ( 0)
27 ( 0)
28 ( 0)
29 ( 0)
30 ( 0)
31 ( 0)
32 ( 0)
33 ( 0)
34 ( 1) *
35 ( 0)
36 ( 2) **
37 ( 1) *
38 (10) **********
39 ( 6) ******
40 ( 8) ********
41 ( 7) *******
42 ( 8) ********
43 (20) ********************
44 (21) *********************
45 (22) **********************
46 (18) ******************
47 (19) *******************
48 (26) **************************
49 (37) *************************************
50 (29) *****************************
51 (28) ****************************
52 (26) **************************
53 (28) ****************************
54 (38) **************************************
55 (23) ***********************
56 (22) **********************
57 (21) *********************
58 (16) ****************
59 (11) ***********
60 (11) ***********
61 ( 6) ******
62 ( 8) ********
63 ( 8) ********
64 ( 4) ****
65 ( 5) *****
66 ( 1) *
67 ( 1) *
68 ( 2) **
69 ( 2) **
70 ( 2) **
71 ( 1) *
72 ( 1) *

import networkx as nx

# make a random graph of 500 nodes with expected degrees of 50
n = 500  # n nodes
p = 0.1
w = [p * n for i in range(n)]  # w = p*n for all nodes
G = nx.expected_degree_graph(w)  # configuration model
print("Degree histogram")
print("degree (#nodes) ****")
dh = nx.degree_histogram(G)
for i, d in enumerate(dh):
    print(f"{i:2} ({d:2}) {'*'*d}")