Cyclic eigenvalue

These are the values of the cyclic eigenvalue (π) for all networks to which the statistic applies and for which it was computed. In total, it has been computed for 300 networks.

The cyclic eigenvalue (π) is the largest absolute eigenvalue of the (generally asymmetric) adjacency matrix of a directed graph. It is zero if and only if the graph is acyclic, i.e., when the graph does not contain any directed cycle.

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

NameAttributesπ
Taro exchange
3.750 90
Rhesus macaques
49.722 4
Crisis in a Cloister
4.040 28
Cattle
9.614 14
Pro League (2016/2017)
2.398 84
Sheep
13.811 6
Bundesliga (2016/2017)
3.242 63
Bison
35.350 6
Seventh graders
26.759 4
Ligue 1 (2016/2017)
4.482 24
Premier League (2013/2014)
2.507 21
Highschool
9.584 62
Hens
7.212 63
Congress votes
7.185 98
Physicians
5.726 33
Japanese macaques
9.907 16
FilmTrust trust
11.668 1
Little Rock Lake
7.000 00
LiquidFeedback (units)
0.623 490
Air traffic control
5.248 33
Residence hall
50.874 7
LiquidFeedback (global)
1.324 72
Wikipedia talk (ht)
101.931
Caenorhabditis elegans (neural)
206.446
Florida ecosystem wet
164.603
Florida ecosystem dry
65.098 2
Dutch college
46.193 2
Human proteins (Stelzl)
17.498 7
Human proteins (Figeys)
2.768 80
Adolescent health
27.584 2
Blogs
34.423 3
LiquidFeedback (issues)
26.933 1
LiquidFeedback (areas)
7.975 94
Gnutella (08)
5.119 29
Wikipedia talk (cy)
504.058
Wikipedia talk (oc)
277.690
Gnutella (09)
4.536 06
Political blogs
74.082 0
Wikipedia talk (br)
747.668
OpenFlights (Opsahl)
62.280 0
Gnutella (06)
4.739 55
US airports
1.191 87 × 107
Twitter lists
6.316 63
CiaoDVD trust
59.518 3
LiquidFeedback (all)
34.814 2
LiquidFeedback (temporal)
34.814 2
Bitcoin Alpha
93.416 9
Gnutella (25)
3.402 93
OpenFlights (Patokallio)
176.668
Gnutella (24)
3.545 78
Wikipedia talk (eo)
871.028
Gnutella (30)
3.874 98
Bitcoin OTC
118.316
Wikipedia links (gag)
99.001 3
Wikipedia links (lo)
307.000
Wikipedia links (am)
62.534 4
UC Irvine messages
181.856
Wikipedia talk (eu)
452.904
Wikipedia links (nds-nl)
55.165 4
Java Development Kit
16.877 2
Wikipedia links (myv)
107.993
Wikipedia links (gv)
118.067
Wikipedia links (tk)
254.000
FOLDOC
15.718 2
Chess
3.192 15
Wikipedia links (csb)
35.121 6
Wikipedia talk (lv)
943.056
Wikipedia links (wa)
51.987 3
Gnutella (31)
3.659 28
Wikipedia links (co)
169.218
Wikipedia links (gan)
124.678
Manufacturing emails
1,772.47
Wikipedia links (nah)
88.337 3
Wikipedia links (rue)
241.066
Google.com internal
61.075 3
Wikipedia links (lez)
159.064
Wikipedia links (as)
198.103
Wikipedia links (si)
61.006 5
Wikipedia links (kv)
253.072
Digg
17.141 8
Wikipedia links (xal)
357.700
Wikipedia links (pam)
152.021
Linux sources
10.299 4
Wikipedia links (mhr)
142.022
Wikipedia links (fiu-vro)
378.068
Wikipedia elections
33.547 7
Wikipedia talk (bn)
616.099
Wikipedia links (fo)
247.008
Wikipedia links (hsb)
101.832
Wikispeedia
1,275.36
Wikipedia links (os)
177.134
Wikipedia talk (sk)
1,803.43
Wikipedia links (hif)
376.193
Wikipedia links (vec)
114.346
Wikipedia links (cdo)
265.004
Wikipedia links (glk)
132.005
Wikipedia links (kn)
88.011 8
Slashdot
40.475 8
Wikipedia links (sah)
366.083
Wikipedia links (bcl)
377.032
Wikipedia links (gd)
171.097
arXiv hep-th
10.801 1
Wikipedia links (bh)
131.031
Edinburgh Associative Thesaurus
57.307 7
Wikipedia links (li)
93.247 5
Wikipedia links (xmf)
262.021
Wikipedia talk (el)
1,889.59
Wikipedia links (hak)
265.000
Wikipedia links (ht)
55.462 0
Wikipedia links (nso)
358.554
arXiv hep-ph
5.662 91
EU institution
69.932 3
Wikipedia links (mn)
366.347
Wikipedia links (arz)
220.008
Wikipedia links (or)
364.881
Epinions
106.528
Wikipedia links (pa)
205.149
Wikipedia links (nds)
86.175 4
Wikipedia links (ps)
369.000
Wikipedia links (pms)
50.000 0
Wikipedia talk (sr)
2,550.56
Wikipedia links (yi)
82.428 9
Slashdot Zoo
83.056 3
SAP forums
695.387
Wikipedia links (bar)
85.038 7
Wikipedia talk (ca)
2,544.51
Wikipedia links (als)
100.031
Wikipedia links (io)
209.235
Wikipedia links (ku)
167.260
Wikipedia links (min)
117.095
Wikipedia links (vo)
133.031
Wikipedia links (cv)
241.001
New York City
4.304 56
Wikipedia links (ky)
118.788
WikiSigned
68.863 1
Wikipedia links (nap)
309.006
San Francisco Bay Area
4.153 20
Wikipedia links (roa-tara)
309.020
Wikipedia links (yo)
269.472
Twitter (ICWSM)
6.178 14
MathOverflow
1,997.09
Wikipedia links (fy)
154.578
Wikipedia links (ckb)
337.197
Wikipedia links (sw)
152.932
Wikipedia links (is)
379.313
Wikipedia links (mg)
62.104 6
Wikipedia links (my)
453.069
Wikipedia links (su)
369.772
Wikipedia links (qu)
336.045
Wikipedia links (ba)
365.812
Wikipedia talk (sv)
2,747.71
Wikipedia links (ilo)
488.061
Wikipedia links (scn)
296.000
Colorado
4.041 87
Wikipedia talk (vi)
3,552.12
Wikipedia links (an)
106.180
Wikipedia links (mzn)
517.995
Wikipedia links (lb)
252.022
Wikipedia links (gu)
379.041
Wikipedia links (pnb)
356.862
Wikipedia links (sco)
208.042
Amazon (TWEB, 0302)
5.000 00
Wikipedia links (eml)
1,246.00
Wikipedia links (ga)
313.197
Wikipedia links (br)
249.161
Wikipedia links (zh-yue)
260.084
Epinions
143.123
Notre Dame
152.007
Wikipedia links (mr)
363.594
Wikipedia links (new)
374.003
Wikipedia links (jv)
106.477
Facebook
856.606
CiteSeer
7.065 03
Wikipedia links (af)
298.118
Wikipedia links (ia)
524.019
Wikipedia links (ast)
88.153 0
Ask Ubuntu
1,626.33
Linux kernel mailing list replies
5,424.94
Wikipedia talk (ja)
1,449.41
Wikipedia links (ml)
380.237
Wikipedia links (bpy)
383.000
Enron (clean)
3,904.00
Enron
3,904.00
Wikipedia links (tl)
245.009
Stanford
48.375 6
Wikipedia links (sq)
379.005
Wikipedia links (be-x-old)
258.017
Wikipedia talk (pl)
2,054.81
Wikipedia links (ne)
934.610
Wikipedia links (bn)
412.193
Wikipedia links (te)
368.234
Wikipedia links (cy)
241.271
Wikipedia talk (nl)
19,164.3
Super User
3,630.45
Yahoo advertisers
2.643 58
Baidu related
167.975
Florida
4.125 49
Northwest USA
4.187 65
Wikipedia dynamic (simple)
65.652 3
Wikipedia links (lmo)
497.034
Amazon (TWEB, 0312)
10.000 0
Wikipedia links (lv)
382.559
Wikipedia links (nn)
241.894
Wikipedia links (la)
254.008
Digg friends
170.320
Wikipedia links (sa)
1,842.00
Amazon (TWEB, 0505)
10.000 0
Amazon (TWEB, 0601)
10.000 0
Wikipedia talk (ar)
3,512.76
Wikipedia links (uz)
282.103
Wikipedia talk (ru)
8,374.71
Wikipedia links (az)
251.013
Wikipedia links (zh-min-nan)
454.000
Wikipedia talk (pt)
3,342.92
Wikipedia threads (de)
2,272.18
Northeast USA
4.335 17
Wikipedia links (tt)
530.008
Wikipedia talk (zh)
2,323.87
Wikipedia links (mk)
315.156
Wikipedia links (ka)
335.962
Wikipedia links (simple)
682.022
Wikipedia talk (es)
3,733.74
Wikipedia links (et)
379.984
Wikipedia messages (en)
228.940
Wikipedia links (bug)
809.002
Wikipedia links (tg)
699.000
Google hyperlinks
37.639 6
Youtube links
193.324
California and Nevada
4.302 72
Wikipedia links (el)
265.335
Wikipedia talk (it)
4,599.85
Wikipedia links (th)
386.738
Wikipedia links (lt)
253.293
Wikipedia links (be)
263.019
Wikipedia links (gl)
411.007
Prosper loans
11.564 3
Wikipedia links (ur)
1,002.43
Wikipedia links (ce)
386.003
Wikipedia links (hr)
373.336
Wikipedia links (sk)
263.229
Wikipedia links (ta)
703.064
Wikipedia links (hi)
593.000
Berkeley/Stanford
162.347
Wikipedia links (sl)
660.525
Great Lakes
4.519 83
Wikipedia talk (fr)
55,109.1
Wikipedia links (eu)
409.599
TREC WT10g
89.433 7
Arnetminer ACM
8.743 18
Wikipedia links (bg)
468.059
Wikipedia links (da)
328.114
Eastern USA
4.335 17
Wikipedia links (eo)
686.249
Wikipedia links (bs)
572.007
Wikipedia talk (de)
10,171.3
Higgs
202.697
Wikipedia links (kk)
868.020
Wikipedia links (he)
359.967
Wikipedia links (tr)
393.462
Wikipedia links (fi)
528.048
Hudong internal
265.004
DBpedia
18.770 8
Baidu internal
88.793 0
Western USA
4.332 32
Wikipedia links (cs)
425.109
Wikipedia links (hy)
807.017
Wikipedia links (no)
669.291
Wikipedia links (oc)
1,247.00
Libimseti.cz
180.755
Hudong related
10.000 0
Twitter mentions
345.070
Wikipedia links (ms)
869.021
Wikipedia links (ko)
1,274.11
Pokec
118.527
Wikipedia links (ro)
866.264
Wikipedia links (id)
4,234.00
Wikipedia links (war)
870.025
Wikipedia links (ca)
880.032
Wikipedia dynamic (nl)
143.737
Wikipedia talk (en)
45,406.0
Wikipedia links (hu)
893.014
Wikipedia links (es)
219.828
Wikipedia dynamic (pl)
214.864
Wikipedia links (vi)
1,230.00
Wikipedia links (pt)
1,040.00
Wikipedia links (uk)
850.011
Wikipedia links (nl)
827.192
Flickr
1,018.96
Wikipedia links (ar)
1,960.02
Wikipedia dynamic (it)
117.805
Wikipedia links (fa)
2,339.26
Wikipedia links (pl)
1,310.84
Wikipedia links (zh)
805.993
Zhishi
265.575
LiveJournal
352.036
Wikipedia growth (en)
216.703
Wikipedia links (ja)
869.026
Wikipedia dynamic (fr)
163.465
Stack Overflow
29,933.2
Wikipedia links (sr)
448.378