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 ( 1) *
33 ( 4) ****
34 ( 1) *
35 ( 2) **
36 ( 3) ***
37 ( 5) *****
38 (10) **********
39 ( 5) *****
40 ( 8) ********
41 (14) **************
42 (12) ************
43 (22) **********************
44 (21) *********************
45 (21) *********************
46 (26) **************************
47 (31) *******************************
48 (21) *********************
49 (35) ***********************************
50 (26) **************************
51 (36) ************************************
52 (17) *****************
53 (26) **************************
54 (29) *****************************
55 (26) **************************
56 (23) ***********************
57 (17) *****************
58 ( 8) ********
59 (12) ************
60 (10) **********
61 ( 6) ******
62 ( 7) *******
63 ( 5) *****
64 ( 1) *
65 ( 4) ****
66 ( 1) *
67 ( 1) *
68 ( 2) **
69 ( 0)
70 ( 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}")