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