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Table 3 Properties of the simulated networks layers: total number of nodes n; total number of edges m; mean degree \({\bar{d}}\); mean node–node distance l; exponent \(\gamma\) of degree distribution; clustering coefficient C; Transitivity T, Density \(\delta\)

From: The structure of co-publications multilayer network

 

Network

n

m

\({\bar{d}}\)

l

\(\gamma\)

C

T

\(\delta\)

Shs

Researchers

3220

6409

3.98

4.53

2.41

0.65

0.19

0.0012

Laboratories

2591

6290

4.85

3.95

2.42

0.62

0.13

0.0018

Institutions

2291

6175

5.39

3.76

2.43

0.60

0.12

0.0023

Stat

Researchers

3310

6879

4.15

5.53

2.40

0.80

0.34

0.0012

Laboratories

2066

6765

6.55

3.77

2.43

0.68

0.14

0.0031

Institutions

1363

6534

9.59

3.21

2.43

0.63

0.14

0.0070

Math

Researchers

9137

15813

3.46

5.67

2.42

0.71

0.20

0.0003

Laboratories

7134

15732

4.41

4.61

2.43

0.65

0.11

0.0006

Institutions

5710

15607

5.46

4.07

2.43

0.62

0.08

0.0009

Sdv

Researchers

34698

164777

9.49

5.45

2.43

0.90

0.57

0.0002

Laboratories

20154

163133

16.1

3.52

2.44

0.79

0.16

0.0008

Institutions

13656

157545

23.0

3.07

2.44

0.75

0.12

0.0016

Phys

Researchers

29681

527031

35.5

3.32

2.44

0.89

0.32

0.0011

Laboratories

22775

512941

45.0

3.05

2.44

0.86

0.22

0.0019

Institutions

17647

482890

54.7

2.87

2.44

0.85

0.20

0.0031

Sdu

Researchers

21878

117614

10.7

4.06

2.43

0.83

0.26

0.0004

Laboratories

7069

98700

27.9

2.86

2.44

0.75

0.18

0.0039

Institutions

2430

62543

51.4

2.52

4.43

0.80

0.39

0.0211

Chem

Researchers

20603

92155

8.94

4.36

2.43

0.80

0.22

0.0004

Laboratories

15326

91388

11.9

3.65

2.44

0.76

0.11

0.0007

Institutions

11321

89263

15.7

3.26

2.44

0.73

0.10

0.0013

  1. Chem, Info, Math, Phys, Shs, Sdu, Sdv, Stat are academic fields of the HAL dataset