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 307 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 (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 (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
Linux sources
166.736
Wikipedia links (mhr)
177.983
Wikipedia elections
83.495 7
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 (diq)
250.070
Wikipedia links (vec)
189.343
Wikipedia links (cdo)
265.504
Slashdot
71.918 7
Wikipedia links (sah)
373.647
Wikipedia links (map-bms)
283.381
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)
320.912
Wikipedia links (nso)
367.833
arXiv hep-ph
57.077 2
EU institution
87.357 1
Wikipedia links (mn)
372.835
Wikipedia links (arz)
284.818
Wikipedia links (or)
377.168
Epinions
139.616
Wikipedia links (pa)
247.467
Wikipedia links (nds)
151.580
Wikipedia links (ps)
377.989
Wikipedia links (pms)
490.194
Wikipedia talk (sr)
2,609.00
Wikipedia links (yi)
566.820
Slashdot Zoo
96.839 6
SAP forums
922.825
Wikipedia links (bar)
258.402
Wikipedia talk (ca)
2,865.14
Wikipedia links (als)
215.459
Wikipedia links (io)
213.247
Wikipedia links (ku)
183.024
Wikipedia links (min)
561.620
Wikipedia links (vo)
449.395
Wikipedia links (cv)
242.509
New York City
4.304 56
Wikipedia links (ky)
363.337
WikiSigned
139.313
Wikipedia links (nap)
316.392
San Francisco Bay Area
4.153 20
Wikipedia links (roa-tara)
319.976
Wikipedia links (yo)
401.893
Twitter (ICWSM)
79.115 0
MathOverflow
2,011.89
Wikipedia links (fy)
205.385
Wikipedia links (ckb)
376.340
Wikipedia links (sw)
299.632
Wikipedia links (is)
393.065
Wikipedia links (mg)
614.935
Wikipedia links (my)
476.999
Wikipedia links (su)
380.553
Wikipedia links (qu)
376.456
Wikipedia links (ba)
382.663
Wikipedia talk (sv)
3,086.47
Wikipedia links (ilo)
572.875
Wikipedia links (scn)
306.495
Colorado
4.041 87
Wikipedia talk (vi)
3,917.74
Wikipedia links (an)
401.450
Wikipedia links (mzn)
532.742
Wikipedia links (lb)
253.512
Wikipedia links (gu)
575.400
Wikipedia links (pnb)
376.134
Wikipedia links (sco)
217.999
Amazon (TWEB, 0302)
21.218 1
Wikipedia links (eml)
1,246.21
Wikipedia links (ga)
558.837
Wikipedia links (br)
273.157
Wikipedia links (zh-yue)
272.265
Epinions
167.764
Notre Dame
170.642
Wikipedia links (mr)
383.070
Wikipedia links (new)
513.736
Wikipedia links (jv)
522.977
Facebook
904.598
CiteSeer
49.521 6
Wikipedia links (af)
314.235
Wikipedia links (ia)
541.534
Wikipedia links (ast)
411.611
Ask Ubuntu
1,643.72
Linux kernel mailing list replies
5,596.49
Wikipedia talk (ja)
1,464.24
Wikipedia links (ml)
434.894
Wikipedia links (bpy)
948.182
Enron (clean)
3,904.14
Enron
3,904.14
Wikipedia links (tl)
407.391
Stanford
438.345
Wikipedia links (sq)
383.076
Wikipedia links (be-x-old)
336.766
Wikipedia talk (pl)
6,183.55
Wikipedia links (ne)
982.284
Wikipedia links (bn)
466.560
Wikipedia links (te)
390.775
Wikipedia links (cy)
578.995
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)
535.162
Wikipedia links (nn)
314.943
Wikipedia links (la)
734.238
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)
729.096
Wikipedia talk (ru)
8,527.66
Wikipedia links (az)
525.103
Wikipedia links (zh-min-nan)
506.181
Wikipedia talk (pt)
3,595.95
Wikipedia threads (de)
2,316.66
Northeast USA
4.335 17
Wikipedia links (tt)
560.316
Wikipedia talk (zh)
3,132.92
Wikipedia links (mk)
439.710
Wikipedia links (ka)
415.430
Wikipedia links (simple)
700.554
Wikipedia talk (es)
3,800.41
Wikipedia links (et)
418.447
Wikipedia messages (en)
319.068
Wikipedia links (bug)
814.019
Wikipedia links (tg)
708.610
Google hyperlinks
105.911
Youtube links
199.826
California and Nevada
4.302 72
Wikipedia links (el)
357.138
Wikipedia talk (it)
4,750.84
Wikipedia links (th)
418.188
Wikipedia links (lt)
354.842
Wikipedia links (be)
592.078
Wikipedia links (gl)
421.756
Prosper loans
339.390
Wikipedia links (ur)
1,903.19
Wikipedia links (ce)
1,208.87
Wikipedia links (hr)
390.765
Wikipedia links (sk)
774.565
Wikipedia links (ta)
820.414
Wikipedia links (hi)
1,114.09
Berkeley/Stanford
674.675
Wikipedia links (sl)
763.967
Great Lakes
4.519 83
Wikipedia links (eu)
549.451
TREC WT10g
336.756
Arnetminer ACM
94.040 3
Wikipedia links (bg)
470.817
Wikipedia links (da)
520.376
Eastern USA
4.335 17
Wikipedia links (eo)
700.786
Wikipedia links (bs)
784.398
Wikipedia talk (de)
18,161.3
Higgs
608.347
Wikipedia links (kk)
956.537
Wikipedia links (he)
1,459.36
Wikipedia links (tr)
594.791
Wikipedia links (fi)
542.674
Hudong internal
314.852
DBpedia
729.740
Baidu internal
442.626
Western USA
4.332 32
Wikipedia links (cs)
597.405
US patents
112.215
Wikipedia links (hy)
1,462.06
Wikipedia links (no)
767.299
Wikipedia links (oc)
1,416.63
Libimseti.cz
1,091.14
Hudong related
458.807
Twitter mentions
1,112.63
Wikipedia links (ms)
894.359
Wikipedia links (ko)
1,275.69
Pokec
132.219
Wikipedia links (ro)
1,088.13
Wikipedia links (id)
4,250.57
Wikipedia links (war)
2,312.18
Wikipedia links (ca)
903.609
Wikipedia dynamic (nl)
368.130
Wikipedia talk (en)
45,410.1
Wikipedia links (hu)
993.564
Wikipedia links (es)
1,320.29
Wikipedia dynamic (pl)
498.940
Wikipedia links (vi)
2,849.26
Wikipedia links (pt)
1,047.19
Wikipedia links (uk)
1,198.98
Wikipedia links (nl)
2,997.47
Flickr
1,127.13
Wikipedia links (ar)
1,988.14
Wikipedia dynamic (it)
621.980
Wikipedia links (fa)
3,524.59
Wikipedia links (pl)
1,675.47
Wikipedia links (zh)
860.337
Wikipedia growth (en)
690.274
Wikipedia links (ja)
999.898
Wikipedia dynamic (fr)
566.281
Stack Overflow
29,943.5
Wikipedia links (sr)
2,930.09