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Table 3 Tieness for each case study and an extra case study representing the situation when NO and coAfrequency are in accordance

From: The strength of co-authorship ties through different topological properties

Case Image NO coAfrequency Tieness
Case 1: a pair of researchers Fig. 1 0 2 0.0425
without any common neighbor     
Case 2: determining if two researchers Fig. 2 a 0 5 0.0375
are from the same community or not     
Case 2: determining if two researchers are Fig. 2 b 0.33 5 0.115
from the same community or not     
Case 3: little collaboration between a pair of Fig. 3 0.5 2 0.1425
researchers and a plenty of common neighbors     
Case 4: results with extreme values Fig. 4 a 1 3 0.2565
Case 4: results with extreme values Fig. 4 b 0 40 0.25
Regular Case: NO and coAfrequency Fig. 3 with w=12 0.5 12 0.18
in agreement     
  1. Note that coAfrequency is normalized considering only the values in the table to compute tieness. Thus, min(coAfrequency) = 2 and min(coAfrequency) = 40