Table 4 Computing times for edge \({\mathbf {z}}\)-scores and singleton \({\mathbf {z}}\)-scores, on organisms and Pokec networks. For each network we report the number of nodes, the number of edges and the sum of squared degrees. The complexity of singleton \({\mathbf {z}}\)-scores computation strongly depends on the sum of squared degrees.

From: A novel method for assessing and measuring homophily in networks through second-order statistics

Network

Size

Computing time (s)

Nodes

Edges

Squared degrees sum

Edge\({\mathbf {z}}\)-score

Singleton \({\mathbf {z}}\)-score

Bm

2675

15,450

942,470

0.042

15.338

Ec

4020

29,748

1,947,532

0.077

63.174

Hi

1609

9202

607,128

0.023

10.477

Hp

1264

7678

535,246

0.020

9.973

Mt

3779

24,889

1,574,806

0.068

43.241

Sp

1811

8813

555,570

0.023

9.010

Tp

894

8157

818,544

0.021

14.284

Vc

3153

20,844

1,505,448

0.054

39.030

Pa

1564

9090

713,514

0.022

12.510

Sc

6157

119,051

30,075,870

0.257

1062.981

Pokec

1,212,349

8,320,600

752,382,968

24.270

24,086.467