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 ( 1) *
31 ( 0)
32 ( 1) *
33 ( 1) *
34 ( 1) *
35 ( 4) ****
36 ( 7) *******
37 ( 3) ***
38 ( 7) *******
39 ( 9) *********
40 ( 3) ***
41 (14) **************
42 (16) ****************
43 (15) ***************
44 (13) *************
45 (26) **************************
46 (22) **********************
47 (34) **********************************
48 (29) *****************************
49 (38) **************************************
50 (30) ******************************
51 (28) ****************************
52 (24) ************************
53 (32) ********************************
54 (17) *****************
55 (15) ***************
56 (24) ************************
57 (14) **************
58 (11) ***********
59 (12) ************
60 (16) ****************
61 (10) **********
62 ( 5) *****
63 ( 3) ***
64 ( 3) ***
65 ( 6) ******
66 ( 1) *
67 ( 4) ****
68 ( 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}")