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 314 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
Sheep
38.353 9
Bison
51.657 8
Seventh graders
31.875 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
Wikipedia links (lo)
340.512
Wikipedia links (myv)
124.092
Cora
24.673 3
Wikipedia links (gag)
211.910
Wikipedia links (am)
77.910 1
DBLP
34.102 3
Wikipedia links (mi)
115.242
Wikipedia links (so)
181.865
Wikipedia links (vls)
125.743
JUNG/Javax
893.925
UC Irvine messages
229.350
Wikipedia talk (eu)
473.976
Wikipedia links (bat-smg)
159.431
Wikipedia talk (gl)
984.015
Wikipedia links (crh)
130.511
Wikipedia links (nds-nl)
79.740 4
Java Development Kit
1,045.24
Wikipedia links (gv)
122.504
Wikipedia links (tk)
253.503
FOLDOC
46.239 4
Chess
13.746 3
Wikipedia links (csb)
402.532
Wikipedia talk (lv)
981.703
Wikipedia links (wa)
72.771 5
Wikipedia links (co)
212.923
Gnutella (31)
10.896 2
Wikipedia links (rue)
257.834
Wikipedia links (gan)
133.136
Manufacturing emails
1,819.32
Wikipedia links (nah)
114.506
Google.com internal
162.422
Wikipedia links (lez)
165.847
Wikipedia links (as)
217.246
Wikipedia links (si)
163.339
Wikipedia links (dv)
375.702
Wikipedia links (kv)
253.771
Digg
26.656 7
Wikipedia links (xal)
371.385
Wikipedia links (pam)
158.574
Linux sources
166.736
Wikipedia links (mhr)
176.678
Wikipedia links (fiu-vro)
382.220
Wikipedia elections
83.495 7
Wikipedia links (ps)
377.989
Wikipedia links (se)
141.799
Wikipedia links (hsb)
189.558
Wikipedia links (fo)
249.513
Wikipedia talk (bn)
640.447
Wikipedia links (os)
181.787
Wikispeedia
1,474.05
Wikipedia links (diq)
250.070
Wikipedia talk (sk)
1,825.23
Wikipedia links (hif)
377.478
Wikipedia links (vec)
189.261
Wikipedia links (cdo)
265.504
Wikipedia links (kn)
154.147
Wikipedia links (glk)
292.364
Wikipedia links (sah)
373.646
Slashdot
71.918 7
Wikipedia links (gd)
175.567
Wikipedia links (map-bms)
283.376
Wikipedia links (bcl)
379.499
Wikipedia links (bh)
380.606
Wikipedia links (li)
102.661
arXiv hep-th
85.160 7
Edinburgh Associative Thesaurus
131.648
Wikipedia links (xmf)
291.023
Wikipedia links (hak)
265.506
Wikipedia talk (el)
2,030.64
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 (pms)
490.194
Wikipedia talk (sr)
2,609.00
Wikipedia links (yi)
566.820
Slashdot Zoo
96.839 6
Wikipedia links (bar)
258.402
SAP forums
922.825
Wikipedia talk (ca)
2,865.14
Wikipedia links (io)
213.247
Wikipedia links (als)
215.459
Wikipedia links (ku)
183.024
Wikipedia links (min)
561.620
Wikipedia links (cv)
242.509
Wikipedia links (vo)
449.395
Wikipedia links (ky)
363.337
New York City
4.304 56
WikiSigned
139.313
Wikipedia links (ckb)
376.340
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
Wikipedia links (fy)
205.385
Wikipedia links (sw)
299.632
MathOverflow
2,011.89
Wikipedia links (is)
393.065
Wikipedia links (ba)
382.663
Wikipedia links (su)
380.553
Wikipedia links (my)
476.999
Wikipedia links (qu)
376.456
Wikipedia links (mg)
614.935
Wikipedia links (ilo)
572.875
Wikipedia talk (sv)
3,086.47
Wikipedia links (scn)
306.495
Colorado
4.041 87
Wikipedia links (ast)
411.611
Wikipedia links (an)
401.450
Wikipedia talk (vi)
3,917.74
Wikipedia links (lb)
253.512
Wikipedia links (sco)
217.999
Wikipedia links (mzn)
532.742
Wikipedia links (gu)
575.400
Wikipedia links (eml)
1,246.21
Wikipedia links (pnb)
376.134
Amazon (TWEB, 0302)
21.218 1
Wikipedia links (ga)
558.837
Wikipedia links (br)
273.157
Wikipedia links (zh-yue)
272.265
Epinions
167.764
Wikipedia links (mr)
383.070
Notre Dame
170.642
Wikipedia links (af)
314.235
Wikipedia links (new)
513.736
Wikipedia links (jv)
522.977
Facebook
904.598
CiteSeer
49.521 6
Wikipedia links (ia)
541.534
Wikipedia links (ml)
434.894
Ask Ubuntu
1,643.72
Linux kernel mailing list replies
5,596.49
Wikipedia talk (ja)
1,464.24
Wikipedia links (bpy)
948.182
Wikipedia links (ne)
982.284
Wikipedia links (tl)
407.391
Enron (clean)
3,904.14
Enron
3,904.14
Wikipedia links (sq)
383.076
Stanford
438.345
Wikipedia links (be-x-old)
336.766
Wikipedia talk (pl)
6,183.55
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
Wikipedia links (lv)
535.162
Wikipedia links (nn)
314.943
Amazon (TWEB, 0312)
54.945 9
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 links (uz)
729.096
Wikipedia talk (ar)
3,550.07
Wikipedia links (zh-min-nan)
506.181
Wikipedia links (az)
525.103
Wikipedia talk (ru)
8,527.66
Wikipedia links (et)
418.447
Wikipedia links (mk)
439.710
Wikipedia links (tt)
560.316
Wikipedia links (ka)
415.430
Wikipedia talk (pt)
3,595.95
Wikipedia links (ce)
1,208.87
Wikipedia threads (de)
2,316.66
Northeast USA
4.335 17
Wikipedia talk (zh)
3,132.92
Wikipedia links (simple)
700.554
Wikipedia talk (es)
3,800.41
Wikipedia links (tg)
708.610
Wikipedia links (el)
357.138
Wikipedia messages (en)
319.068
Wikipedia links (bug)
814.019
Google hyperlinks
105.911
Youtube links
199.826
Wikipedia links (th)
418.188
California and Nevada
4.302 72
Wikipedia links (lt)
354.842
Wikipedia talk (it)
4,750.84
Wikipedia links (be)
592.078
Wikipedia links (gl)
421.756
Wikipedia links (ur)
1,903.19
Prosper loans
339.390
Wikipedia links (hr)
390.765
Wikipedia links (ta)
820.414
Wikipedia links (sk)
774.565
Wikipedia links (hi)
1,114.09
Wikipedia links (sl)
763.967
Berkeley/Stanford
674.675
Great Lakes
4.519 83
Wikipedia talk (fr)
55,109.7
Wikipedia links (eu)
549.451
Wikipedia links (bg)
470.817
Wikipedia links (da)
520.376
TREC WT10g
336.756
Arnetminer ACM
94.040 3
Wikipedia links (eo)
700.786
Eastern USA
4.335 17
Wikipedia links (bs)
784.398
Wikipedia talk (de)
18,161.3
Wikipedia links (fi)
542.674
Wikipedia links (he)
1,459.36
Higgs
608.347
Wikipedia links (tr)
594.791
Wikipedia links (kk)
956.537
Hudong internal
314.852
DBpedia
729.740
Wikipedia links (cs)
597.405
Baidu internal
442.626
Western USA
4.332 32
Wikipedia links (hy)
1,462.06
US patents
112.215
Wikipedia links (no)
767.299
Wikipedia links (oc)
1,416.63
Libimseti.cz
1,091.14
Hudong related
458.807
Wikipedia links (ms)
894.359
Twitter mentions
1,112.63
Wikipedia links (ko)
1,275.69
Pokec
132.219
Wikipedia links (id)
4,250.57
Wikipedia links (ro)
1,088.13
Wikipedia links (war)
2,312.18
Wikipedia links (ca)
903.609
Wikipedia dynamic (nl)
368.130
Wikipedia links (hu)
993.564
Wikipedia talk (en)
45,410.1
Wikipedia links (es)
1,320.29
Wikipedia dynamic (pl)
498.940
Wikipedia links (vi)
2,849.26
Wikipedia links (uk)
1,198.98
Wikipedia links (pt)
1,047.19
Wikipedia links (nl)
2,997.47
Wikipedia links (ar)
1,988.14
Flickr
1,127.13
Wikipedia links (fa)
3,524.59
Wikipedia dynamic (it)
621.980
Wikipedia links (zh)
860.337
Wikipedia links (pl)
1,675.47
Wikipedia links (sr)
2,930.09
Wikipedia links (ja)
999.898
Wikipedia growth (en)
690.274
Wikipedia dynamic (fr)
566.281
Stack Overflow
29,943.5