Partition Hypergraphs with Embeddings (HG Details)

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Details

The following table demonstrates many different aspects of all considered hypergraphs. This information compliments the other results presented in the supplimental information of “Partition Hypergraphs with Embeddings.”

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Node Degree Edge Degree
Hypergraph # Nodes # Edges Med. Mean Std. Med. Mean Std.
com-dblp-cmty 260998 13477 1 2.758 4.340 8 53.411 4.340
release-youtube-links_x0_100 115782 115778 2 3.999 7.222 2 3.999 7.222
Many Graph Mixture 110703 55307 4 3.645 2.970 4 7.296 2.970
Many Graph Mixture W/ Noise 110703 55507 4 3.650 2.971 4 7.279 2.971
c/lp Mixture 107776 69368 4 5.374 12.552 4 8.350 12.552
c/lp Mixture W/ Noise 107776 69568 4 5.379 12.552 4 8.333 12.552
lpi_bgindy Mixture 97920 30322 8 11.824 9.319 6 38.182 9.319
youtube 90581 18173 1 3.107 8.121 4 15.487 8.121
soc-Slashdot0902 82159 71882 3 11.464 37.486 3 13.103 37.486
soc-Slashdot0811 77355 70893 3 11.622 37.228 3 12.682 37.228
soc-sign-epinions 76359 42470 2 10.327 43.547 4 18.567 43.547
pltexpa 70364 26894 2 2.033 1.288 4 5.319 1.288
soc-sign-Slashdot090221 69038 30670 2 7.761 33.115 5 17.471 33.115
soc-sign-Slashdot090216 68836 30554 2 7.734 32.971 5 17.423 32.971
world 66747 34106 1 2.974 2.751 3 5.820 2.751
mod2 65990 34355 1 3.022 2.883 3 5.804 2.883
soc-sign-Slashdot081106 64371 27753 2 7.783 32.163 5 18.051 32.163
sctap1-2r 63426 28830 2 2.938 23.857 6 6.464 23.857
sc205-2r 62422 35212 2 1.974 18.129 3 3.500 18.129
p2p-Gnutella31 62023 15383 1 2.368 2.669 10 9.549 2.669
scsd8-2r 60550 8650 2 3.141 22.885 20 21.990 22.885
email-EuAll 60532 33292 1 3.765 24.650 2 6.846 24.650
release-youtube-links_x0_50 57891 57888 3 3.999 7.222 3 3.999 7.222
soc-Epinions1 50328 31149 2 9.530 39.646 4 15.398 39.646
lpi_greenbea Mixture 50319 24711 9 12.288 9.328 5 25.023 9.328
lp_pds_10 49932 16239 2 2.149 0.424 5 6.607 0.424
fome12 48920 24284 3 2.913 1.303 4 5.869 1.303
nemsemm2 48857 6922 4 3.725 2.568 11 26.292 2.568
ulevimin 46754 6394 3 3.515 2.714 14 25.703 2.714
scagr7-2r 46679 32846 1 2.574 35.334 3 3.658 35.334
lp_ken_13 42659 23393 2 2.157 0.542 3 3.933 0.542
jnlbrng1 40000 40000 5 4.980 0.141 5 4.980 0.141
obstclae 39996 39996 5 4.941 0.418 5 4.941 0.418
torsion1 39996 39996 5 4.941 0.418 5 4.941 0.418
rajat22 39801 38431 4 4.919 24.574 4 5.095 24.574
lpi_ceria3d Mixture 39600 35384 6 11.891 23.733 3 13.308 23.733
e18 38601 24617 1 4.053 5.472 4 6.356 5.472
stormg2-27 37485 14306 2 2.513 2.000 5 6.584 2.000
p2p-Gnutella30 36345 9205 1 2.416 2.594 10 9.539 2.594
scsd8-2b 35910 5130 2 3.140 17.607 20 21.982 17.607
scsd8-2c 35910 5130 2 3.140 17.607 20 21.982 17.607
south31 35885 17989 1 3.120 132.364 6 6.224 132.364
email-Enron 35153 25481 3 10.140 33.809 5 13.989 33.809
sctap1-2b 33858 15390 2 2.937 17.447 6 6.462 17.447
lpl3 33686 10655 3 2.979 0.184 6 9.418 0.184
scfxm1-2b 33047 18266 2 3.337 6.509 5 6.038 6.509
lp_ken Mixture 32418 19219 7 10.513 10.796 4 17.733 10.796
baxter 30722 24255 1 3.528 5.359 3 4.469 5.359
rajat10 30202 30101 5 4.311 1.116 5 4.326 1.116
nug08-3rd 29856 19728 6 4.971 3.505 8 7.523 3.505
release-youtube-links_x0_25 28945 28938 2 3.996 7.784 2 3.997 7.784
nemswrld 28496 6512 6 6.743 5.108 8 29.507 5.108
cit-HepPh 28093 29526 6 14.913 27.227 10 14.189 27.227
brainpc2 27606 27606 4 6.498 131.257 4 6.498 131.257
as-caida 26475 16538 2 3.657 29.016 2 5.855 29.016
lp_osa_07 25067 1118 6 5.777 1.032 22 129.528 1.032
mult_dcop_01 25019 24817 5 7.710 144.682 6 7.773 144.682
mult_dcop_02 25019 24817 5 7.710 144.682 6 7.773 144.682
mult_dcop_03 25019 24817 5 7.708 144.682 6 7.771 144.682
hvdc1 24842 24842 6 6.440 2.936 6 6.440 2.936
rajat09 24482 24391 5 4.309 1.117 5 4.325 1.117
cit-HepTh 22908 22610 6 15.294 43.314 11 15.496 43.314
co9 22829 10694 2 4.799 5.264 4 10.245 5.264
ca-CondMat 22523 20760 5 8.194 10.671 6 8.890 10.671
c-50 22401 22401 4 8.644 22.902 4 8.644 22.902
deter0 Mixture 21872 7845 2 2.061 0.900 4 5.746 0.900
cq9 21503 9247 2 4.493 4.673 4 10.449 4.673
c-49 21132 21132 4 7.431 14.452 4 7.431 14.452
rajat27 20540 19163 3 4.786 16.261 4 5.130 16.261
p010 19081 10071 2 6.183 4.984 4 11.715 4.984
release-flickr-links_x0_10 18612 18612 11 15.842 38.179 11 15.842 38.179
ca-AstroPh 18479 17490 10 21.369 30.683 11 22.577 30.683
c-48 18354 18354 4 9.049 16.866 4 9.049 16.866
memplus 17758 17758 4 7.104 22.035 4 7.104 22.035
cvxqp3 17500 17500 6 6.998 3.626 6 6.998 3.626
model10 16819 4398 11 8.940 4.645 11 34.191 4.645
pds10 16558 16558 7 9.038 7.258 7 9.038 7.258
lowThrust_5 16262 16262 12 12.198 70.124 12 12.198 70.124
hangGlider_5 16011 16011 8 9.696 112.427 8 9.696 112.427
hangGlider_4 15561 15561 8 9.609 110.835 8 9.609 110.835
OPF_3754 15435 15435 9 10.254 5.531 9 10.254 5.531
c-46 14913 14913 7 8.744 42.022 7 8.744 42.022
case9 14453 14453 7 10.238 105.257 7 10.238 105.257
lowThrust_4 13562 13562 12 11.867 64.031 12 11.867 64.031
lpi_gosh 13356 3662 9 7.474 5.231 9 27.260 5.231
c-45 13206 13206 5 13.210 85.104 5 13.210 85.104
ca-HepPh 11670 10514 5 20.181 47.173 6 22.400 47.173
coupled 11341 11317 5 8.685 30.083 5 8.704 30.083
c-43 11125 11125 5 11.117 72.602 5 11.117 72.602
psse0 11028 26694 8 9.286 6.075 4 3.836 6.075
psse2 11028 28632 10 10.452 6.713 4 4.026 6.713
c-42 10471 10471 6 10.532 41.339 6 10.532 41.339
nsir 10055 4450 2 15.409 25.894 3 34.817 25.894
c-39 9271 9271 4 14.757 41.233 4 14.757 41.233
wiki-Vote 2355 3728 34 43.018 40.735 8 27.175 40.735
cari 1200 400 1 127.333 178.662 382 382.000 178.662