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Table 6 Some statistics of Preference Implication-based method results of communities created on the artificial networks from Table 4 and different sizes of seed nodes

From: Theory of preference modelling for communities in scale-free networks

I

Network size

Seed node percent (%)

Number of community

Maximum membership

Maximum community size

Minimum community size

1

15

30

6

5

8

4

2

30

20

6

4

10

7

3

60

10

6

7

16

12

4

100

20

20

15

25

13

5

200

5

10

8

44

22.

6

200

10

20

8

44

22 .

7

200

20

40

8

46

21.

8

200

30

60

13

44

19

9

500

5

25

14

55

19

10

500

10

50

16

55

18

11

500

20

100

14

55

19

12

500

30

150

17

49

17

13

1000

10

100

13

98

22

14

1000

20

200

21

98

22

15

1000

30

300

27

53

20

16

2000

30

600

51

391

212

17

5000

10

500

42

508

56

18

10000

10

1000

0.6

1515

86

  1. Here, \(\alpha = 0.75\) and \(\nu = 0.6\) for all the entries in the table