Operator 2-norm

These are the values of the operator 2-norm (ν) for all networks to which the statistic applies and for which it was computed. In total, it has been computed for 335 networks.

The operator 2-norm (ν) equals the largest singular value of a directed graph's (generally asymmetric) adjacency matrix. It is only computed for directed graphs. For undirected graphs, it would simply equal the spectral norm.

The full definition of the operator 2-norm as well as its properties and relationships to other graph statistics can be found in the KONECT handbook.

NameAttributesν
Taro exchange
3.750 90
Rhesus macaques
78.286 9
Crisis in a Cloister
7.119 74
Cattle
29.657 9
Pro League (2016/2017)
16.497 7
Sheep
38.353 9
Bundesliga (2016/2017)
18.513 2
Bison
51.657 8
Seventh graders
31.875 5
Ligue 1 (2016/2017)
21.451 8
Premier League (2013/2014)
21.744 5
Highschool
10.977 2
Hens
19.601 8
Congress votes
11.830 7
Physicians
7.582 14
Japanese macaques
52.331 1
FilmTrust trust
12.582 8
Little Rock Lake
31.170 6
LiquidFeedback (units)
7.697 50
Air traffic control
6.411 86
Residence hall
57.034 8
LiquidFeedback (global)
8.427 91
Wikipedia talk (ht)
107.190
Caenorhabditis elegans (neural)
206.446
Florida ecosystem wet
407.812
Florida ecosystem dry
347.139
Dutch college
53.172 5
Human proteins (Stelzl)
17.514 0
Human proteins (Figeys)
30.777 6
Adolescent health
31.946 0
Blogs
56.192 8
LiquidFeedback (issues)
71.865 0
LiquidFeedback (areas)
26.604 6
Gnutella (08)
23.950 8
Wikipedia talk (cy)
527.246
Wikipedia talk (oc)
418.607
Gnutella (09)
24.865 4
Political blogs
74.082 0
Wikipedia talk (br)
841.843
OpenFlights (Opsahl)
62.311 7
Gnutella (06)
19.328 0
Gnutella (05)
21.420 5
US airports
1.191 89 × 107
Twitter lists
20.574 3
CiaoDVD trust
70.147 7
Gnutella (04)
15.413 4
Chicago
4.227 22
LiquidFeedback (all)
81.133 1
Google+ (NIPS)
59.579 0
LiquidFeedback (temporal)
81.140 5
Bitcoin Alpha
126.098
Gnutella (25)
8.542 71
Advogato
48.084 5
Wikipedia talk (nds)
402.071
OpenFlights (Patokallio)
176.748
Gnutella (24)
19.116 0
Wikipedia talk (eo)
889.457
Gnutella (30)
9.985 77
Bitcoin OTC
205.822
Cora
24.673 3
Wikipedia links (gag)
211.724
Wikipedia links (lo)
340.513
DBLP
34.102 3
Wikipedia links (am)
78.009 0
Wikipedia links (mi)
115.240
Wikipedia links (so)
181.865
Wikipedia links (vls)
126.220
JUNG/Javax
893.925
UC Irvine messages
229.350
Wikipedia talk (eu)
473.976
Wikipedia links (bat-smg)
159.406
Wikipedia talk (gl)
984.015
Wikipedia links (nds-nl)
79.451 8
Java Development Kit
1,045.24
Wikipedia links (myv)
124.378
Wikipedia links (gv)
122.504
Wikipedia links (tk)
254.001
FOLDOC
46.239 4
Chess
13.746 3
Wikipedia links (csb)
402.532
Wikipedia talk (lv)
981.703
Wikipedia links (crh)
139.272
Wikipedia links (wa)
72.767 7
Gnutella (31)
10.896 2
Wikipedia links (co)
213.432
Wikipedia links (gan)
133.136
Manufacturing emails
1,819.32
Wikipedia links (nah)
114.739
Wikipedia links (rue)
255.324
Google.com internal
162.422
Wikipedia links (lez)
165.848
Wikipedia links (dv)
375.702
Wikipedia links (as)
219.090
Wikipedia links (si)
163.336
Wikipedia links (kv)
253.771
Digg
26.656 7
Wikipedia links (xal)
365.856
Wikipedia links (pam)
158.574
Linux sources
166.736
Wikipedia links (mhr)
177.983
Wikipedia links (fiu-vro)
382.220
Wikipedia elections
83.495 7
Wikipedia links (se)
141.799
Wikipedia talk (bn)
640.447
Wikipedia links (fo)
249.513
Wikipedia links (hsb)
189.558
Wikispeedia
1,474.05
Wikipedia links (os)
181.792
Wikipedia talk (sk)
1,825.23
Wikipedia links (hif)
377.479
Wikipedia links (diq)
250.070
Wikipedia links (vec)
189.343
Wikipedia links (cdo)
265.504
Wikipedia links (glk)
290.346
Wikipedia links (kn)
157.433
Slashdot
71.918 7
Wikipedia links (sah)
373.647
Wikipedia links (map-bms)
283.381
Wikipedia links (bcl)
379.500
Wikipedia links (gd)
178.488
arXiv hep-th
85.160 7
Wikipedia links (bh)
382.840
Edinburgh Associative Thesaurus
131.648
Wikipedia links (li)
103.748
Wikipedia links (xmf)
291.023
Wikipedia talk (el)
2,030.64
Wikipedia links (hak)
265.506
Wikipedia links (ht)
325.124
Wikipedia links (nso)
367.571
arXiv hep-ph
57.077 2
EU institution
87.357 1
Wikipedia links (mn)
372.851
Wikipedia links (arz)
294.435
Wikipedia links (or)
377.168
Epinions
139.616
Wikipedia links (pa)
247.306
Wikipedia links (nds)
157.076
Wikipedia links (ps)
594.533
Wikipedia links (pms)
490.423
Wikipedia talk (sr)
2,609.00
Wikipedia links (yi)
571.839
Slashdot Zoo
96.839 6
SAP forums
922.825
Wikipedia links (bar)
258.401
Wikipedia talk (ca)
2,865.14
Wikipedia links (als)
224.116
Wikipedia links (io)
215.139
Wikipedia links (ku)
183.043
Wikipedia links (min)
561.618
Wikipedia links (vo)
449.408
Wikipedia links (cv)
242.509
New York City
4.304 56
Wikipedia links (ky)
363.397
WikiSigned
139.313
Wikipedia links (nap)
316.393
San Francisco Bay Area
4.153 20
Wikipedia links (roa-tara)
319.967
Wikipedia links (yo)
401.894
Twitter (ICWSM)
79.115 0
MathOverflow
2,011.89
Wikipedia links (fy)
205.601
Wikipedia links (ckb)
376.349
Wikipedia links (sw)
299.633
Wikipedia links (is)
393.625
Wikipedia links (mg)
614.924
Wikipedia links (my)
476.999
Wikipedia links (su)
380.563
Wikipedia links (qu)
376.459
Wikipedia links (ba)
388.235
Wikipedia talk (sv)
3,086.47
Wikipedia links (ilo)
573.376
Wikipedia links (scn)
306.495
Colorado
4.041 87
Wikipedia talk (vi)
3,917.74
Wikipedia links (an)
404.996
Wikipedia links (mzn)
532.820
Wikipedia links (lb)
253.512
Wikipedia links (gu)
575.592
Wikipedia links (pnb)
375.727
Wikipedia links (sco)
219.582
Amazon (TWEB, 0302)
21.218 1
Wikipedia links (eml)
1,249.21
Wikipedia links (ga)
558.845
Wikipedia links (br)
273.157
Wikipedia links (zh-yue)
272.265
Epinions
167.764
Notre Dame
170.642
Wikipedia links (mr)
383.022
Wikipedia links (new)
513.736
Wikipedia links (jv)
462.768
Facebook
904.598
CiteSeer
49.521 6
Wikipedia links (af)
368.893
Wikipedia links (ia)
541.978
Wikipedia links (ast)
421.602
Ask Ubuntu
1,643.72
Linux kernel mailing list replies
5,596.49
Wikipedia talk (ja)
1,464.24
Wikipedia links (ml)
436.756
Wikipedia links (bpy)
948.257
Enron (clean)
3,904.14
Enron
3,904.14
Wikipedia links (tl)
406.162
Stanford
438.345
Wikipedia links (sq)
383.077
Wikipedia links (be-x-old)
349.631
Wikipedia talk (pl)
6,183.55
Wikipedia links (ne)
981.814
Wikipedia links (bn)
466.731
Wikipedia links (te)
392.732
Wikipedia links (cy)
578.943
Wikipedia talk (nl)
19,257.0
Super User
3,634.95
Yahoo advertisers
474.472
Baidu related
1,007.86
Florida
4.125 49
Northwest USA
4.187 65
Wikipedia dynamic (simple)
147.945
Wikipedia links (lmo)
518.905
Amazon (TWEB, 0312)
54.945 9
Wikipedia links (lv)
536.268
Wikipedia links (nn)
316.963
Wikipedia links (la)
734.242
Digg friends
348.560
Wikipedia links (sa)
1,845.48
Amazon (TWEB, 0505)
56.511 3
Amazon (TWEB, 0601)
55.621 4
Wikipedia talk (ar)
3,550.07
Wikipedia links (uz)
766.343
Wikipedia talk (ru)
8,527.66
Wikipedia links (az)
525.102
Wikipedia links (zh-min-nan)
510.118
Wikipedia talk (pt)
3,595.95
Wikipedia threads (de)
2,316.66
Northeast USA
4.335 17
Wikipedia links (tt)
578.389
Wikipedia talk (zh)
3,132.92
Wikipedia links (mk)
439.912
Wikipedia links (ka)
419.105
Wikipedia links (simple)
700.682
Wikipedia talk (es)
3,800.41
Wikipedia links (et)
440.839
Wikipedia messages (en)
319.068
Wikipedia links (bug)
814.019
Wikipedia links (tg)
705.891
Google hyperlinks
105.911
Youtube links
199.826
California and Nevada
4.302 72
Wikipedia links (el)
390.930
Wikipedia talk (it)
4,750.84
Wikipedia links (th)
419.551
Wikipedia links (lt)
355.363
Wikipedia links (be)
605.571
Wikipedia links (gl)
429.848
Prosper loans
339.390
Wikipedia links (ur)
1,902.26
Wikipedia links (ce)
1,210.55
Wikipedia links (hr)
391.087
Wikipedia links (sk)
774.783
Wikipedia links (ta)
820.535
Wikipedia links (hi)
1,132.65
Berkeley/Stanford
674.675
Wikipedia links (sl)
764.252
Great Lakes
4.519 83
Wikipedia talk (fr)
55,109.7
Wikipedia links (eu)
549.596
TREC WT10g
336.756
Arnetminer ACM
94.040 3
Wikipedia links (bg)
470.857
Wikipedia links (da)
538.384
Eastern USA
4.335 17
Wikipedia links (eo)
700.852
Wikipedia links (bs)
784.323
Wikipedia talk (de)
18,161.3
Higgs
608.347
Wikipedia links (kk)
956.808
Wikipedia links (he)
1,459.71
Wikipedia links (tr)
585.260
Wikipedia links (fi)
1,008.09
Hudong internal
314.852
DBpedia
729.740
Baidu internal
442.626
Western USA
4.332 32
Wikipedia links (cs)
692.304
US patents
112.215
Wikipedia links (hy)
1,462.95
Wikipedia links (no)
767.976
Wikipedia links (oc)
1,419.75
Libimseti.cz
1,091.14
Hudong related
458.807
Twitter mentions
1,112.63
Wikipedia links (ms)
894.383
Wikipedia links (ko)
1,286.68
Pokec
132.219
Wikipedia links (ro)
1,128.47
Wikipedia links (id)
4,250.57
Wikipedia links (war)
2,312.19
Wikipedia links (ca)
903.494
Wikipedia dynamic (nl)
368.130
Central USA
4.519 83
Wikipedia talk (en)
45,410.1
Wikipedia links (hu)
997.979
Wikipedia links (es)
1,330.45
Wikipedia dynamic (pl)
498.940
Wikipedia links (vi)
2,851.46
Wikipedia links (pt)
1,047.20
Wikipedia links (uk)
1,199.63
Wikipedia links (nl)
3,000.53
Flickr
1,127.13
Wikipedia links (ar)
1,988.64
Wikipedia dynamic (it)
621.980
Wikipedia links (fa)
3,524.59
Wikipedia links (pl)
1,688.38
Full USA
4.519 83
Wikipedia links (zh)
862.541
Zhishi
1,009.34
LiveJournal
404.861
Wikipedia links (ceb)
3,144.47
Wikipedia growth (en)
690.274
Wikipedia links (ja)
1,012.12
Wikipedia links (ru)
1,212.83
Wikipedia links (de)
1,052.15
Wikipedia links (sh)
2,853.22
Wikipedia links (it)
1,418.39
Wikipedia links (sv)
4,907.13
Wikipedia dynamic (fr)
566.281
Stack Overflow
29,943.5
Wikipedia links (fr)
2,321.08
Wikipedia links (sr)
2,679.95
Wikipedia dynamic (de)
396.931
DBpedia links
3,593.24
Wikipedia links (en)
1,461.40
Google+ (IMC12)
2,447.21
Twitter (WWW)
6,279.11
Twitter (MPI)
6,971.10