Feature analysis of multidisciplinary scientific collaboration patterns based on PNAS

EPJ Data Science

Table 5 Correlation coefficients between degree and transitivity/clustering indexes

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

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).