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 ( 2) **
33 ( 1) *
34 ( 0)
35 ( 0)
36 ( 5) *****
37 ( 3) ***
38 ( 6) ******
39 (14) **************
40 (12) ************
41 (16) ****************
42 (15) ***************
43 (20) ********************
44 (14) **************
45 (30) ******************************
46 (29) *****************************
47 (20) ********************
48 (20) ********************
49 (22) **********************
50 (24) ************************
51 (32) ********************************
52 (30) ******************************
53 (34) **********************************
54 (26) **************************
55 (23) ***********************
56 (17) *****************
57 (11) ***********
58 (13) *************
59 (13) *************
60 (14) **************
61 ( 6) ******
62 ( 4) ****
63 ( 7) *******
64 ( 4) ****
65 ( 7) *******
66 ( 4) ****
67 ( 0)
68 ( 0)
69 ( 0)
70 ( 0)
71 ( 1) *
72 ( 0)
73 ( 0)
74 ( 0)
75 ( 0)
76 ( 0)
77 ( 0)
78 ( 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}")