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Table 8 The 17 different divisions of the 42 territories of Risk game detected as local maxima of Eq. (15)

From: Influence spreading model used to analyse social networks and detect sub-communities

     North America Europe Asia
R # # Equation (15) Nodes
1 38 4 128.0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28
2 4 38 124.4                             
3 33 9 122.8           10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28
4 34 8 122.3 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28
5 13 29 121.1 1 2 3 4 5 6 7 8 9                    
6 29 13 120.6           10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28
7 25 17 119.0           10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28
8 6 36 118.2                   18 19 20 21    24 25    
9 10 32 116.3                   18 19 20 21    24 25    
10 15 27 116.1 1 2 3 4 5 6 7 8 9          18 19 20 21    24 25    
11 19 23 114.2 1 2 3 4 5 6 7 8 9          18 19 20 21    24 25    
12 15 27 114.1                  17 18 19 20 21 22 23 24 25   27 28
13 23 19 112.5 1 2 3 4 5 6 7 8 9          18 19 20 21    24 25    
14 32 10 112.4 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17      22 23    26 27 28
15 18 24 112.2           10 11 12 13 14 15 16           26   
16 11 31 112.1                  17 18 19 20 21 22 23 24 25   27 28
17 14 28 110.6           10 11 12 13 14 15 16           26   
     South America Africa Australia
R # # Equation (15) Nodes
1 38 4 128.0 29 30 31 32 33 34 35 36 37 38     
2 4 38 124.4 29 30 31 32           
3 33 9 122.8 29 30 31 32 33 34 35 36 37 38 39 40 41 42
4 34 8 122.3      33 34 35 36 37 38     
5 13 29 121.1 29 30 31 32           
6 29 13 120.6 29 30 31 32 33 34 35 36 37 38     
7 25 17 119.0      33 34 35 36 37 38     
8 6 36 118.2               
9 10 32 116.3            39 40 41 42
10 15 27 116.1               
11 19 23 114.2            39 40 41 42
12 15 27 114.1            39 40 41 42
13 23 19 112.5 29 30 31 32        39 40 41 42
14 32 10 112.4      33 34 35 36 37 38 39 40 41 42
15 18 24 112.2 29 30 31 32 33 34 35 36 37 38     
16 11 31 112.1               
17 14 28 110.6      33 34 35 36 37 38     
  1. The values of the measure in Eq. (15) are shown in the table with the number nodes in the two factions of the network
  2. The title line in the table shows the continents where the 42 territories are located (this information is not used as input in the model)