Table 8 Pearson’s, Spearman’s, and Kendall’s correlation coefficient between dangling centrality and 5 popular centrality metrics.

From: Dangling centrality highlights critical nodes by evaluating network stability through link removal

 

Small Dataset

Centrality Metrics

DC

BC

CC

EVC

KC

Pearson’s Correlation Coefficient

5 nodes graph

Dangling Centrality

\({{\prime}\varnothing }_{c}{\prime}\)

0.8758113

0.9671900

0.9803829

0.5968716

0.8754605

6 nodes graph

0.9897783

0.8882636

0.9911944

0.9566603

0.9897083

Spearman’s Correlation Coefficient

5 nodes graph

0.9176629

0.9176629

1.0000000

0.6842105

0.6842105

6 nodes graph

0.9534626

1.0000000

0.9534626

0.8060599

0.8181818

Kendall’s Correlation Coefficient

5 nodes graph

0.8819171

0.8819171

1.0000000

0.5555556

0.5555556

6 nodes graph

0.9198662

1.0000000

0.9198662

0.6671244

0.6923077