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 295 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.
Name | Attributes | π
|
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
|
Gnutella (05) |  | 4.356 91
|
US airports | | 1.191 87 × 107
|
Twitter lists | | 6.316 63
|
CiaoDVD trust |  | 59.518 3
|
Gnutella (04) |  | 4.446 96
|
Chicago | | 4.226 24
|
LiquidFeedback (all) |  | 34.814 2
|
Google+ (NIPS) | | 6.168 89
|
LiquidFeedback (temporal) |  | 34.814 2
|
Bitcoin Alpha |  | 93.416 9
|
Gnutella (25) |  | 3.402 93
|
Advogato |  | 26.458 5
|
Wikipedia talk (nds) |  | 391.973
|
OpenFlights (Patokallio) |  | 176.668
|
Gnutella (24) |  | 3.545 78
|
Wikipedia talk (eo) |  | 871.028
|
Gnutella (30) |  | 3.874 98
|
Bitcoin OTC |  | 118.316
|
Cora | | 8.990 69
|
Wikipedia links (gag) | | 99.001 3
|
Wikipedia links (lo) | | 307.000
|
DBLP |  | 4.676 83
|
Wikipedia links (am) |  | 62.534 4
|
Wikipedia links (mi) |  | 111.219
|
Wikipedia links (so) |  | 171.495
|
Wikipedia links (vls) |  | 110.280
|
JUNG/Javax | | 16.877 2
|
UC Irvine messages |  | 181.856
|
Wikipedia talk (eu) |  | 452.904
|
Wikipedia links (bat-smg) |  | 73.143 5
|
Wikipedia talk (gl) |  | 916.311
|
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 (crh) |  | 130.013
|
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 (dv) | | 373.145
|
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 links (se) |  | 100.895
|
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 (diq) |  | 248.011
|
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 (map-bms) |  | 212.031
|
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) |  | 55.729 0
|
Wikipedia links (nso) |  | 358.516
|
arXiv hep-ph |  | 5.662 91
|
EU institution |  | 69.932 3
|
Wikipedia links (mn) |  | 366.350
|
Wikipedia links (arz) |  | 220.008
|
Wikipedia links (or) |  | 364.881
|
Epinions | | 106.528
|
Wikipedia links (pa) |  | 205.149
|
Wikipedia links (nds) |  | 88.141 0
|
Wikipedia links (ps) |  | 367.003
|
Wikipedia links (pms) |  | 50.000 0
|
Wikipedia talk (sr) |  | 2,550.56
|
Wikipedia links (yi) |  | 82.430 2
|
Slashdot Zoo | | 83.056 3
|
SAP forums |  | 695.387
|
Wikipedia links (bar) |  | 85.038 7
|
Wikipedia talk (ca) |  | 2,544.51
|
Wikipedia links (als) |  | 100.057
|
Wikipedia links (io) |  | 211.240
|
Wikipedia links (ku) |  | 166.273
|
Wikipedia links (min) |  | 117.095
|
Wikipedia links (vo) |  | 133.031
|
Wikipedia links (cv) |  | 241.001
|
New York City | | 4.304 56
|
Wikipedia links (ky) |  | 118.808
|
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) |  | 337.199
|
Wikipedia links (sw) |  | 152.934
|
Wikipedia links (is) |  | 379.973
|
Wikipedia links (mg) |  | 82.615 4
|
Wikipedia links (su) |  | 369.772
|
Wikipedia links (qu) |  | 336.045
|
Wikipedia talk (sv) |  | 2,747.71
|
Wikipedia links (ilo) |  | 488.063
|
Colorado | | 4.041 87
|
Wikipedia talk (vi) |  | 3,552.12
|
Wikipedia links (an) |  | 105.357
|
Wikipedia links (mzn) |  | 517.995
|
Wikipedia links (sco) |  | 208.042
|
Amazon (TWEB, 0302) | | 5.000 00
|
Wikipedia links (eml) | | 1,249.00
|
Wikipedia links (zh-yue) |  | 260.084
|
Epinions |  | 143.123
|
Wikipedia links (mr) |  | 363.602
|
Facebook |  | 856.606
|
CiteSeer |  | 7.065 03
|
Wikipedia links (af) |  | 359.066
|
Wikipedia links (ia) |  | 524.021
|
Wikipedia talk (ja) |  | 1,449.41
|
Wikipedia links (ml) |  | 380.240
|
Wikipedia links (bpy) | | 383.000
|
Enron (clean) |  | 3,904.00
|
Enron |  | 3,904.00
|
Wikipedia links (tl) |  | 245.009
|
Wikipedia links (sq) |  | 379.005
|
Wikipedia links (be-x-old) |  | 259.017
|
Wikipedia links (ne) |  | 933.603
|
Wikipedia links (cy) |  | 247.033
|
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) |  | 382.794
|
Wikipedia links (nn) |  | 241.894
|
Wikipedia links (la) |  | 254.008
|
Digg friends |  | 170.320
|
Amazon (TWEB, 0505) | | 10.000 0
|
Wikipedia talk (ar) |  | 3,512.76
|
Wikipedia links (uz) |  | 282.103
|
Wikipedia talk (ru) |  | 8,374.71
|
Wikipedia links (az) |  | 251.014
|
Wikipedia links (zh-min-nan) |  | 454.000
|
Wikipedia talk (pt) |  | 3,342.92
|
Northeast USA | | 4.335 17
|
Wikipedia links (tt) |  | 530.008
|
Wikipedia talk (zh) |  | 2,323.87
|
Wikipedia links (mk) |  | 314.168
|
Wikipedia links (simple) |  | 682.022
|
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) |  | 387.589
|
Wikipedia links (lt) |  | 256.310
|
Wikipedia links (be) |  | 298.004
|
Wikipedia links (gl) |  | 411.007
|
Prosper loans |  | 11.564 3
|
Wikipedia links (ur) |  | 1,002.44
|
Wikipedia links (ce) |  | 909.997
|
Wikipedia links (hr) |  | 373.336
|
Wikipedia links (sk) |  | 263.233
|
Wikipedia links (ta) |  | 703.064
|
Wikipedia links (hi) |  | 593.000
|
Berkeley/Stanford | | 162.347
|
Wikipedia links (sl) |  | 661.759
|
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) |  | 468.061
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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) |  | 992.038
|
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
|