Table 2 Facet and simplicial degree statistics. For each category we show the maximum, mean (with standard deviation), and median of the facet and simplicial degree sequences
| Â | Simplex size | Node degree | ||||
|---|---|---|---|---|---|---|
Max s | 〈 s 〉 | Median s | Max d | 〈 d 〉 | Median d | |
astro-ph | 1,309 | 8.51 (23.75) | 4 | 3,163 | 3.46 (11.13) | 1 |
cond-mat | 51 | 4.42 (2.76) | 4 | 981 | 2.74 (6.06) | 1 |
cs | 287 | 3.38 (2.02) | 3 | 310 | 1.86 (2.77) | 1 |
gr-qc | 944 | 4.62 (34.12) | 3 | 66 | 2.89 (4.85) | 1 |
hep-ex | 2,812 | 57.13 (160.81) | 3 | 706 | 7.74 (24.77) | 1 |
hep-lat | 35 | 4.78 (3.59) | 4 | 147 | 3.33 (7.03) | 1 |
hep-ph | 317 | 3.55 (5.20) | 3 | 270 | 2.62 (5.09) | 1 |
hep-th | 32 | 2.88 (1.05) | 3 | 117 | 2.60 (4.25) | 1 |
math | 60 | 2.60 (0.88) | 2 | 153 | 2.20 (2.85) | 1 |
math-ph | 14 | 2.66 (0.90) | 2 | 39 | 1.55 (1.57) | 1 |
nlin | 81 | 3.21 (1.72) | 3 | 75 | 1.68 (2.20) | 1 |
nucl-ex | 974 | 26.76 (71.80) | 9 | 187 | 3.93 (7.59) | 1 |
nucl-th | 189 | 3.74 (2.58) | 3 | 173 | 2.32 (4.24) | 1 |
physics | 800 | 5.41 (13.39) | 4 | 374 | 1.72 (2.40) | 1 |
q-bio | 147 | 3.81 (3.37) | 3 | 64 | 1.36 (1.27) | 1 |
q-fin | 13 | 2.84 (1.03) | 3 | 26 | 1.48 (1.47) | 1 |
quant-ph | 60 | 3.75 (2.12) | 3 | 182 | 2.47 (4.35) | 1 |
stat | 28 | 3.14 (1.31) | 3 | 36 | 1.57 (1.65) | 1 |
Overall | 2,812 | 4.5 (11.8) | 3 | 3,163 | 2.52 (6.46) | 1 |