Table 1 The basic topological features and the convergence time of the eight real networks.

From: The H-index of a network node and its relation to degree and coreness

Networks

C

r

n

Jazz

198

2,742

27.7

2.24

0.633

0.02

13

NS

379

914

4.82

6.04

0.798

−0.082

4

Email

1,133

5,451

9.62

3.61

0.254

0.078

16

Sex

15,810

38,540

4.88

5.79

0

−0.115

19

Facebook

63,731

817,090

25.64

8.09

0.253

0.177

63

PB

1,222

16,714

27.36

2.74

0.360

−0.221

18

USAir

332

2,126

12.81

2.74

0.749

−0.208

5

Router

5,022

6,258

2.49

6.45

0.033

−0.138

6

  1. and are the number of nodes and links, respectively. and are the average degree and the average distance, respectively. C and r are the clustering coefficient1 and assortative coefficient3, respectively. Nodes with degree 1 are excluded from the calculation of clustering coefficient. Sex is a bipartite network and thus is characterized by (or ‘has’) clustering coefficient zero. n is the convergence time to coreness, defined as the minimum steps required to reach coreness from degree by the operator .