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Table 18 Realism results for the Bernard & Killworth Technical social network

From: Heuristic methods for synthesizing realistic social networks based on personality compatibility

Metrics

T

\( \overline{F} \)

|T- \( \overline{F} \) |

L1(F)

L2(F)

\( \overline{P} \)

|T-\( \overline{P} \)|

L1(P)

L2(P)

\( \overline{M} \)

|T-\( \overline{M} \)|

L1(M)

L2(M)

Nodes

34.00

34.00

0.00

0.00

0.00

34.00

0.00

0.00

0.00

34.00

0.00

0.00

0.00

Links

78.00

65.63

12.37

371.00

68.61

78.00

0.00

0.00

0.00

78.00

0.00

0.00

0.00

Components

1.00

1.13

0.13

4.00

2.00

1.13

0.13

4.00

2.45

1.20

0.20

6.00

2.45

Network density

0.14

0.12

0.02

0.66

0.12

0.14

0.00

0.00

0.00

0.14

0.00

0.00

0.00

Average degree

4.59

3.86

0.73

21.82

4.04

4.59

0.00

0.00

0.00

4.59

0.00

0.00

0.00

Standard deviation degree

3.88

2.69

1.19

35.61

6.63

3.87

0.00

6.10

1.38

3.67

0.21

7.49

1.63

Global cluster coefficient

0.26

0.16

0.10

2.96

0.56

0.31

0.05

1.63

0.33

0.33

0.08

2.25

0.44

Average cluster coefficient

0.59

0.19

0.40

11.85

2.18

0.68

0.09

2.71

0.51

0.67

0.08

2.49

0.48

Mean path length

2.41

2.85

0.44

13.27

4.99

3.05

0.64

22.98

12.16

3.60

1.19

36.32

14.09

Communities

5.00

7.53

2.53

82.00

18.55

6.80

1.80

58.00

12.41

6.27

1.27

42.00

9.70

Gini coefficient

0.17

0.31

0.14

4.28

0.87

0.33

0.17

5.04

0.96

0.31

0.15

4.37

0.86

Average betweenness

23.24

25.26

2.03

68.62

14.83

22.13

1.11

72.03

18.05

23.14

0.10

72.18

17.73

Maximum betweenness

231.07

163.33

67.74

2032.19

409.13

234.37

3.30

1271.06

277.04

208.98

22.09

1321.97

293.17

Average closeness

0.01

0.01

0.00

0.02

0.00

0.01

0.00

0.03

0.01

0.01

0.00

0.02

0.01

Minimum closeness

0.01

0.01

0.00

0.02

0.01

0.01

0.00

0.03

0.01

0.01

0.00

0.03

0.01

Average eigencentrality

0.39

0.33

0.06

1.79

0.36

0.30

0.09

2.73

0.51

0.30

0.10

2.84

0.53

Minimum eigencentrality

0.06

0.04

0.03

0.99

0.20

0.03

0.03

1.01

0.20

0.03

0.04

1.07

0.21

Network radius

3.00

3.03

0.03

1.00

1.00

2.60

0.40

12.00

3.46

2.73

0.27

10.00

3.16

Average eccentricity

4.03

4.12

0.09

6.94

1.79

3.70

0.33

14.50

3.18

3.82

0.21

12.88

2.97

Network diameter

5.00

5.13

0.13

8.00

3.16

4.70

0.30

15.00

3.87

4.87

0.13

16.00

4.24

  1. Boldfaced numbers indicate which algorithm performed better for a particular metric