Figure 1

Figure 2

Figure 3

Figure 4

Figure 5

Figure 6

Comparison between two stages: Density, avg_ distance, and m-nbetweenness_
| Density (Avg. value) | Avg. distance | M-nbetweenness | |
|---|---|---|---|
| Stage II | 518.636 | 1.745 | 3.723 |
| Stage III | 804.373 | 1.836 | 2.613 |
Values of betweenness and nbetweenness centrality over 0 of each discipline in Stage II: 1981–1999_
| Rank | ID | Betweenness | nBetweenness |
|---|---|---|---|
| 1 | Nanoscience_&_Nanotechnology | 143.000 | 68.095 |
| 2 | Physics_Applied | 11.167 | 5.317 |
| 3 | Materials_Science_Multidisciplinary | 10.333 | 4.921 |
| 4 | Engineering_Electrical_&_Electronic | 3.000 | 1.429 |
| 5 | Instruments_&_Instrumentation | 3.000 | 1.429 |
| 6 | Chemistry_Physical | 1.000 | 0.476 |
| 7 | Physics_Condensed_Matter | 0.500 | 0.238 |
Values of betweenness and nbetweenness centrality over 0 of each discipline in Stage III: 2000–2014_
| Rank | ID | Betweenness | nBetweenness |
|---|---|---|---|
| 1 | Nanoscience_&_Nanotechnology | 394.833 | 74.779 |
| 2 | Materials_Science_Multidisciplinary | 35.000 | 6.629 |
| 3 | Physics_Applied | 9.000 | 1.705 |
| 4 | Chemistry_Multidisciplinary | 6.500 | 1.231 |
| 5 | Engineering_Electrical_&_Electronic | 5.000 | 0.947 |
| 6 | Instruments_&_Instrumentation | 4.500 | 0.852 |
| 7 | Biophysics | 3.000 | 0.568 |
| 8 | Physics_Condensed_Matter | 3.000 | 0.568 |
| 9 | Chemistry_Physical | 2.333 | 0.442 |
| 10 | Materials_Science_Characterization_&_Testing | 2.000 | 0.379 |
| 11 | Biotechnology_&_Applied_Microbiology | 1.500 | 0.284 |
| 12 | Physics_Fluids_&_Plasmas | 1.000 | 0.189 |
| 13 | Biochemical_Research_Methods | 1.000 | 0.189 |
| 14 | Engineering_Manufacturing | 0.333 | 0.063 |
Web of Science category, WC co-occurrence matrix (Partial)_
| 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | |
|---|---|---|---|---|---|---|---|---|---|---|
| 1 | 0 | 22 | 0 | 0 | 0 | 0 | 800 | 0 | 0 | 0 |
| 2 | 22 | 0 | 1,685 | 1,685 | 0 | 0 | 0 | 0 | 0 | 1,685 |
| 3 | 0 | 1,685 | 0 | 1,685 | 0 | 0 | 0 | 0 | 0 | 1,685 |
| 4 | 0 | 1,685 | 1,685 | 0 | 0 | 0 | 0 | 0 | 0 | 1,685 |
| 5 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1,794 | 0 | 0 |
| 6 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 7 | 800 | 0 | 0 | 0 | 0 | 0 | 0 | 7,878 | 0 | 0 |
| 8 | 0 | 0 | 0 | 0 | 1,794 | 0 | 7,878 | 0 | 0 | 0 |
| 9 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| 10 | 0 | 1,685 | 1,685 | 1,685 | 0 | 0 | 0 | 0 | 0 | 0 |
