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Table 5 Correlation coefficients between degree and transitivity/clustering indexes

From: Feature analysis of multidisciplinary scientific collaboration patterns based on PNAS

Discipline Indicator Mean Std SCC PCC
Biological sciences LCC 0.860   −0.398 −0.401
LTC 0.001 0.005 0.275 0.077
DN 21.09   0.543 0.400
HN 3.015 15.47 0.070 −0.046
Physical sciences LCC 0.806   −0.336 −0.382
LTC 0.001 0.005 0.306 0.074
DN 15.48   0.625 0.346
HN 2.682 12.44 0.169 0.015
Social sciences LCC 0.784   −0.177 −0.263
LTC 0.001 0.006 0.292 0.050
DN 12.87   0.723 0.482
HN 2.268 10.89 0.175 0.030
  1. The indexes are local clustering coefficient (LCC), the local transitivity of collaboration (LTC), the average degree of node neighbors (DN), the average hyperdegree of node neighbors (HN). We calculated the mean of these indexes over authors, the Spearman rank correlation coefficient (SCC) and Pearson product-moment correlation coefficient (PCC) between each index and degree. For the two indexes with small PCC, we calculated their standard deviation (Std).