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 ( 3) ***
33 ( 2) **
34 ( 2) **
35 ( 2) **
36 ( 0)
37 ( 4) ****
38 ( 7) *******
39 ( 7) *******
40 ( 7) *******
41 (12) ************
42 (16) ****************
43 (16) ****************
44 (25) *************************
45 (35) ***********************************
46 (22) **********************
47 (26) **************************
48 (34) **********************************
49 (21) *********************
50 (30) ******************************
51 (31) *******************************
52 (22) **********************
53 (31) *******************************
54 (24) ************************
55 (22) **********************
56 (18) ******************
57 (20) ********************
58 (14) **************
59 (13) *************
60 ( 8) ********
61 ( 9) *********
62 ( 6) ******
63 ( 3) ***
64 ( 3) ***
65 ( 1) *
66 ( 1) *
67 ( 0)
68 ( 2) **
69 ( 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}")