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Table 9 Realism results for the Robins Australian Bank 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 11.00 11.00 0.00 0.00 0.00 11.00 0.00 0.00 0.00 11.00 0.00 0.00 0.00
Links 16.00 12.83 3.17 95.00 18.41 16.00 0.00 0.00 0.00 16.00 0.00 0.00 0.00
Components 1.00 1.13 0.13 4.00 2.00 1.07 0.07 2.00 1.41 1.47 0.47 14.00 3.74
Network density 0.29 0.23 0.06 1.73 0.34 0.29 0.00 0.00 0.00 0.29 0.00 0.00 0.00
Average degree 2.91 2.33 0.58 17.27 3.35 2.91 0.00 0.00 0.00 2.91 0.00 0.00 0.00
Standard deviation degree 1.87 1.27 0.60 17.92 3.49 1.75 0.12 8.79 1.93 1.82 0.05 7.46 1.70
Global cluster coefficient 0.38 0.14 0.24 7.29 1.48 0.38 0.01 1.27 0.32 0.45 0.07 2.76 0.61
Average cluster coefficient 0.41 0.17 0.24 7.46 1.55 0.63 0.23 6.80 1.29 0.66 0.26 7.73 1.48
Mean path length 2.02 2.73 0.71 21.20 6.28 2.13 0.11 6.55 2.27 2.75 0.74 23.69 5.83
Communities 3.00 3.47 0.47 18.00 5.10 2.47 0.53 18.00 4.24 3.13 0.13 14.00 4.47
Gini coefficient 0.24 0.15 0.10 2.91 0.66 0.12 0.12 3.72 0.76 0.20 0.04 2.85 0.62
Average betweenness 5.09 6.44 1.35 53.64 11.35 5.06 0.04 21.09 4.75 4.52 0.57 29.00 6.08
Maximum betweenness 25.17 21.60 3.56 153.90 35.15 26.26 1.09 140.33 31.75 22.18 2.99 159.33 34.81
Average closeness 0.05 0.05 0.01 0.24 0.05 0.05 0.00 0.11 0.03 0.06 0.00 0.18 0.04
Minimum closeness 0.04 0.03 0.01 0.25 0.05 0.04 0.00 0.11 0.03 0.04 0.00 0.16 0.04
Average eigencentrality 0.49 0.54 0.05 1.91 0.46 0.55 0.06 1.96 0.43 0.56 0.07 2.11 0.44
Minimum eigencentrality 0.14 0.15 0.01 2.08 0.46 0.22 0.08 2.66 0.54 0.20 0.06 2.05 0.43
Network radius 2.00 2.67 0.67 20.00 4.69 2.10 0.10 3.00 1.73 2.00 0.00 2.00 1.41
Average eccentricity 3.09 3.78 0.69 23.73 5.26 3.01 0.09 10.73 2.32 2.86 0.23 11.55 2.56
Network diameter 4.00 4.73 0.73 26.00 6.48 3.57 0.43 17.00 4.12 3.57 0.43 13.00 3.87
  1. Boldfaced numbers indicate which algorithm performed better for a particular metric