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 88 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.

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
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
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
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