Balanced inequality ratio

These are the values of the balanced inequality ratio (P) for all networks to which the statistic applies and for which it was computed. In total, it has been computed for 171 networks.

The balanced inequality ratio (P) is the number between zero and one such as the ratio P of nodes with highest degree account for 1 − P of all half-edges. In this definition, each edge is considered to consist of two half-edges, each owned by one node, thus, the degree of a node is the number of half-edges owned by a node, and we can consider statements such as "5% of nodes own 95% of half-edges." The smaller the value, the more inequality is present in the degree distribution. The highest value of one corresponds to the case in the which all nodes have the same degree, i.e., a regular graph. For bipartite networks, we also show the corresponding statistic restricted to left and right nodes (P1, P2). For directed networks, we also show the corresponding statistic restricted to the outdegree and indegree (P+, P).

The full definition of the balanced inequality ratio as well as its properties and relationships to other graph statistics can be found in the KONECT handbook.

References for this statistic:

[1] Jérôme Kunegis and Julia Preusse. Fairness on the web: Alternatives to the power law. In Proc. Web Sci. Conf., pages 175–184, 2012. [ http ]

NameAttributesPP1P2P+P
South African companies
0.307 6920.461 5380.384 615
Southern women (small)
0.357 1430.357 1430.357 143
HIV
0.365 854
Zachary karate club
0.339 744
Highland tribes
0.405 172
Taro exchange
0.423 0770.423 0770.423 077
Southern women (large)
0.393 2580.370 7870.348 315
Zebra
0.355 856
Corporate club memberships
0.384 2110.421 0530.347 368
Corporate leaderships
0.414 1410.383 8380.353 535
Kangaroos
0.406 593
Iceland
0.285 088
Wikiquote edits (kr)
0.324 3240.297 2970.378 378
Contiguous USA
0.425 234
Rhesus macaques
0.414 4140.405 4050.378 378
Dolphins
0.386 792
Chesapeake Bay
0.364 706
American Revolution
0.296 8750.456 2500.300 000
Wikibooks edits (gn)
0.338 7100.338 7100.419 355
Wikibooks edits (rm)
0.335 8210.313 4330.417 910
Wikiquote edits (ang)
0.330 8820.294 1180.352 941
Wikiquote edits (ks)
0.335 7140.342 8570.414 286
Wikibooks edits (bm)
0.340 0000.346 6670.413 333
Wikiquote edits (bm)
0.337 6620.311 6880.415 584
Crisis in a Cloister
0.423 9130.402 1740.434 783
Wikibooks edits (bi)
0.329 1140.341 7720.405 063
Cattle
0.412 4420.341 0140.377 880
PDZBase
0.317 623
Wiktionary edits (rn)
0.306 8180.295 4550.409 091
Wiktionary edits (mh)
0.304 3480.304 3480.369 565
Pro League (2016/2017)
0.458 1010.441 3410.424 581
Wikiquote edits (tk)
0.326 3160.315 7890.400 000
Wiktionary edits (ch)
0.341 8370.326 5310.397 959
Train bombing
0.329 218
Wikiquote edits (ug)
0.320 0000.300 0000.390 000
Wiktionary edits (av)
0.345 0000.300 0000.410 000
Sheep
0.434 0000.352 0000.364 000
Wiktionary edits (ak)
0.345 0000.310 0000.430 000
Gene fusion
0.340 502
Wikibooks edits (ks)
0.322 7270.272 7270.345 455
Les Misérables
0.328 740
Wikibooks edits (ch)
0.303 5710.267 8570.357 143
Wikibooks edits (as)
0.327 5860.267 2410.370 690
Wikibooks edits (my)
0.276 4230.292 6830.365 854
Wikibooks edits (aa)
0.348 7390.294 1180.394 958
Bundesliga (2016/2017)
0.461 2070.443 9660.448 276
Wikibooks edits (nah)
0.323 7700.286 8850.368 852
Bison
0.406 0510.417 1970.394 904
Wikibooks edits (got)
0.314 9610.212 5980.377 953
Wiktionary edits (cr)
0.346 7740.258 0650.379 032
Wikiquote edits (als)
0.326 6130.250 0000.379 032
Wikiquote edits (tt)
0.303 8460.269 2310.353 846
Wikibooks edits (qu)
0.291 0450.238 8060.350 746
David Copperfield
0.345 882
Windsurfers
0.409 226
Wikiquote edits (vo)
0.327 3380.266 1870.366 906
Political books
0.375 283
Wikibooks edits (se)
0.333 3330.255 3190.368 794
Wikibooks edits (bo)
0.320 4230.246 4790.366 197
Seventh graders
0.428 1910.377 6600.401 596
Wiktionary edits (xh)
0.329 9320.272 1090.367 347
Wikibooks edits (ug)
0.323 3330.293 3330.373 333
Ligue 1 (2016/2017)
0.452 6320.435 0880.435 088
Premier League (2013/2014)
0.470 1990.456 9540.466 887
Highschool
0.400 2730.420 7650.363 388
Wikibooks edits (mi)
0.300 0000.212 9030.367 742
Wikiquote edits (ga)
0.318 4710.235 6690.356 688
Wiktionary edits (rm)
0.282 0510.205 1280.435 897
Wikibooks edits (ak)
0.292 6830.201 2200.353 659
Wiktionary edits (aa)
0.321 6370.257 3100.368 421
Hens
0.468 7500.356 8550.362 903
Wikibooks edits (gu)
0.315 9340.247 2530.368 132
Wiktionary edits (bm)
0.307 2630.268 1560.363 128
Wikibooks edits (wa)
0.278 0750.235 2940.395 722
Wikibooks edits (ln)
0.284 6150.210 2560.364 103
Wikibooks edits (yo)
0.287 5650.243 5230.362 694
American football
0.478 793
Wikiquote edits (kk)
0.270 0000.225 0000.380 000
Wiktionary edits (bo)
0.289 2160.186 2750.450 980
Wikibooks edits (xh)
0.269 8020.242 5740.386 139
Wikibooks edits (lb)
0.271 6350.245 1920.379 808
Wikipedia edits (mus)
0.312 2170.244 3440.352 941
Similarities (DBpedia)
0.318 584
Wikibooks edits (za)
0.266 0940.240 3430.373 391
Wiktionary edits (sc)
0.254 1670.187 5000.316 667
Wiktionary edits (bi)
0.302 0410.183 6730.461 224
Wiktionary edits (to)
0.300 4030.213 7100.459 677
Wiktionary edits (yo)
0.289 3700.196 8500.448 819
Wikibooks edits (ps)
0.260 7000.214 0080.338 521
Wiktionary edits (tw)
0.289 3770.201 4650.446 886
Wiktionary edits (dz)
0.291 9710.167 8830.448 905
Wikibooks edits (kn)
0.278 7770.219 4240.359 712
Wikipedia talk (ht)
0.260 4580.170 5880.325 490
Erdős
0.239 916
Wikipedia talk (cy)
0.163 1750.126 8160.226 164
Wikipedia talk (oc)
0.148 6570.101 6370.219 188
Wikipedia talk (br)
0.106 2240.096 917 30.139 232
Wikipedia talk (nds)
0.295 1300.044 036 20.454 579
Amazon (Wang)
0.309 4360.474 3090.187 156
Wikipedia talk (eo)
0.132 8130.102 5490.194 370
Wikipedia links (gag)
0.293 0910.313 6680.231 714
Wikipedia links (lo)
0.103 7810.102 3510.133 780
Wikipedia links (am)
0.207 6250.218 2870.184 404
Wikipedia links (mi)
0.213 1260.243 2080.225 778
Wikipedia links (so)
0.202 6670.184 1440.208 252
Sexual escorts
0.274 3700.275 9960.234 428
Wikipedia links (vls)
0.232 5800.234 5100.218 778
Wikipedia talk (eu)
0.259 1960.059 446 00.411 906
Wikipedia links (bat-smg)
0.257 3760.322 9460.153 408
Wikipedia talk (gl)
0.136 2580.077 575 30.209 422
Wikipedia links (nds-nl)
0.252 5820.264 0760.240 084
Wikipedia links (myv)
0.239 7750.246 6910.234 353
Wikipedia links (gv)
0.236 3790.241 9470.239 696
Wikipedia links (tk)
0.228 4370.282 1820.193 010
Wikipedia links (csb)
0.137 4210.105 1060.118 533
Wikipedia talk (lv)
0.218 6060.057 659 00.357 673
Wikipedia links (crh)
0.180 0480.233 3220.228 757
Wikipedia links (wa)
0.248 9290.238 5240.247 545
Wikipedia links (co)
0.170 8120.167 1960.173 408
Wikipedia links (gan)
0.241 3900.267 3600.240 175
Wikipedia links (nah)
0.254 5740.256 0690.260 259
Wikipedia links (rue)
0.192 6170.210 8060.189 212
Wikipedia links (lez)
0.255 4050.262 2550.267 659
Wikipedia links (dv)
0.128 4040.135 1540.140 603
Wikipedia links (as)
0.128 1600.130 8020.177 122
Wikipedia links (si)
0.198 1290.202 0690.202 297
Wikipedia links (kv)
0.207 3090.217 3540.184 512
Wikipedia links (xal)
0.198 5840.216 6110.256 060
Wikipedia links (pam)
0.259 2110.267 4680.251 835
Wikipedia links (mhr)
0.244 4390.276 0640.184 056
Wikipedia links (fiu-vro)
0.126 6760.138 0190.144 137
Wikipedia links (se)
0.242 8690.244 0100.259 352
Wikipedia talk (bn)
0.253 9930.046 879 90.404 651
Wikipedia links (fo)
0.211 4290.234 7310.199 327
Wikipedia links (hsb)
0.219 7830.270 7910.194 779
Wikipedia links (os)
0.177 4840.191 1260.190 675
Wikipedia talk (sk)
0.179 0400.072 821 60.261 328
Wikipedia links (hif)
0.139 1590.144 8310.196 160
Wikipedia links (diq)
0.212 8070.208 2870.248 660
Wikipedia links (vec)
0.219 6510.230 6970.218 001
Wikipedia links (cdo)
0.246 2990.276 2470.226 745
Wikipedia links (glk)
0.301 4150.327 3390.252 721
Wikipedia links (kn)
0.217 7130.226 1970.194 523
Wikipedia links (sah)
0.159 3410.171 8980.146 995
Wikipedia links (map-bms)
0.251 8660.318 9010.201 741
Wikipedia links (bcl)
0.209 4270.214 6720.227 204
Wikipedia links (gd)
0.211 2630.232 5080.200 762
Wikipedia links (bh)
0.166 5030.147 0100.193 186
Wikipedia links (li)
0.143 5940.154 0180.209 402
Wikipedia links (xmf)
0.230 8760.261 5460.190 652
Wikipedia talk (el)
0.153 6450.075 005 60.239 065
TripAdvisor
0.291 6140.450 8670.317 480
CiteSeer
0.341 0860.247 7130.420 591
Wikipedia talk (sr)
0.149 0060.056 579 00.246 863
Wikipedia talk (ca)
0.173 4340.064 526 00.274 426
Wikipedia talk (sv)
0.159 2540.075 618 70.246 327
Wikipedia talk (vi)
0.217 5930.042 310 20.356 992
Wikipedia talk (ja)
0.182 5880.100 5640.276 959
Wikipedia talk (pl)
0.121 5340.076 517 20.193 785
Wikipedia talk (nl)
0.127 7840.064 844 70.202 136
Italian CNR
0.214 987
IMDB
0.204 0690.234 6620.320 584
Wikipedia talk (ar)
0.228 8820.029 937 20.363 699
Wikipedia talk (ru)
0.134 0600.078 420 10.208 729
Wikipedia talk (pt)
0.201 5670.049 860 60.306 837
Wikipedia talk (zh)
0.209 4740.044 899 50.346 666
Wikipedia talk (es)
0.165 4330.078 457 80.262 955
Wikipedia talk (it)
0.149 5870.064 084 90.232 251
Wikipedia talk (fr)
0.153 8160.062 284 70.237 932
Wikipedia talk (de)
0.092 355 70.076 872 00.137 522
Amazon
0.223 2990.260 0540.182 262