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Table 1 Specific indexes of the second-class disciplines in PNAS 1999–2013

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

Disciplinary m n \(k_{1}\) \(k_{2}\) b
Agricultural science 22 226 9 20 3.19
Anthropology 114 556 24 110 40.02
Applied biological science 135 767 9 134 1.79
Applied mathematics 191 380 27 182 49.39
Applied physical science 309 816 26 299 29.14
Astronomy 3 50 3 3 0.13
Biochemistry 333 6303 19 327 16.96
Biophysics 359 3957 16 359 7.91
Biophysics and computational biology 468 1532 11 467 7.95
Cell biology 135 3717 18 130 12.71
Chemistry 1003 8645 26 1003 49.73
Computer science 77 101 17 70 9.50
Developmental biology 33 1525 12 30 1.66
Earth, atmospheric, and planetary sciences 78 243 9 77 1.58
Ecology 162 1084 15 162 10.00
Economic science 94 171 21 94 20.88
Engineering 217 392 19 217 13.85
Environmental science 184 695 20 183 25.44
Evolution 233 2274 22 216 25.81
Genetics 103 2664 20 97 12.68
Geology 137 285 10 136 2.79
Geophysics 23 175 7 23 1.51
Immunology 43 3070 10 38 1.45
Mathematics 18 561 11 17 3.36
Medical science 181 4784 20 170 14.01
Microbiology 92 2812 17 89 11.85
Neurobiology 16 1003 9 16 0.87
Neuroscience 290 4398 16 280 12.00
Pharmacology 26 594 4 26 0.08
Physics 229 4818 22 227 18.24
Physiology 33 1116 12 32 5.82
Plant biology 27 1700 12 27 4.62
Political science 7 17 5 7 0.54
Population biology 27 166 11 26 4.04
Psychological and cognitive science 160 487 16 159 5.09
Psychology 83 449 12 83 3.62
Statistics 90 146 20 85 19.34
Sustainability science 123 399 11 120 7.66
Systems biology 36 159 11 36 1.80
  1. The number of papers n and that of interdisciplinary papers m of a discipline are counted based on the discipline information provided by PNAS. The degree \(k_{1}\), weighted degree \(k_{2}\), and betweenness centrality b of a discipline are calculated based on the weighted network in Fig. 2.