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Table 1 Properties of the 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

\(\delta\)

Chem

Researchers

19794

80144

8.1

7.07

2.43

0.87

0.43

0.0004

Laboratories

5064

14653

5.8

3.56

2.43

0.85

0.07

0.0011

Institutions

4563

32045

14.058

2.10

2.44

0.9

0.03

0.003

Info

Researchers

26492

485275

36.6

10.2

2.44

0.92

0.74

0.0013

Laboratories

9658

125832

26.0

4.48

2.43

0.87

0.84

0.0026

Institutions

10463

163545

31.2

4.08

2.44

0.86

0.75

0.0029

Math

Researchers

9199

14236

3.09

13.8

2.40

0.80

0.54

0.0003

laboratories

3164

8167

5.16

3.61

2.43

0.75

0.09

0.0016

Institutions

3558

12299

6.91

3.49

2.43

0.75

0.11

0.0019

Phys

Researchers

19920

160915

16.1

9.32

2.43

0.89

0.80

0.0008

Laboratories

4793

18199

7.59

4.19

2.43

0.82

0.34

0.0015

Institutions

5161

22623

8.76

4.00

2.44

0.82

0.30

0.0016

Shs

Researchers

3955

6193

3.13

5.46

2.39

0.86

0.83

0.0007

Laboratories

1729

3021

3.49

5.98

2.42

0.73

0.29

0.0020

Institutions

1903

4142

4.35

5.12

2.43

0.73

0.23

0.0022

Sdu

Researchers

20873

98593

9.44

7.49

2.43

0.87

0.67

0.0004

Laboratories

7781

29238

7.51

3.69

2.43

0.87

0.12

0.0009

Institutions

8217

35408

8.61

3.63

2.44

0.86

0.12

0.0010

Sdv

Researchers

31557

154416

9.78

11.8

2.43

0.92

0.81

0.0003

Laboratories

11010

46084

8.37

4.89

2.43

0.89

0.61

0.0007

Institutions

11594

50942

8.78

4.69

2.43

0.88

0.52

0.0007

Stat

Researchers

2867

5876

4.10

9.41

2.40

0.87

0.57

0.0014

Laboratories

1301

3229

4.96

4.20

2.41

0.80

0.25

0.0038

Institutions

1541

5458

7.08

3.81

2.43

0.79

0.22

0.0045

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