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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