Wikipedia links (lez)
This network consists of the wikilinks of the Wikipedia in the Lezghian
language (lez). Nodes are Wikipedia articles, and directed edges are
wikilinks, i.e., hyperlinks within one wiki. In the wiki source, these are
indicated with [[double brackets]]. Only pages in the article namespace are
included.
Metadata
Statistics
Size  n =  5,171

Volume  m =  204,133

Loop count  l =  12

Wedge count  s =  23,546,046

Claw count  z =  7,303,513,302

Cross count  x =  1,599,049,350,484

Triangle count  t =  3,562,976

Square count  q =  352,983,608

4Tour count  T_{4} =  2,918,314,468

Maximum degree  d_{max} =  1,664

Maximum outdegree  d^{+}_{max} =  417

Maximum indegree  d^{−}_{max} =  1,450

Average degree  d =  78.953 0

Fill  p =  0.007 634 21

Size of LCC  N =  5,151

Size of LSCC  N_{s} =  3,824

Relative size of LSCC  N^{r}_{s} =  0.739 509

Diameter  δ =  10

50Percentile effective diameter  δ_{0.5} =  2.691 12

90Percentile effective diameter  δ_{0.9} =  4.034 11

Median distance  δ_{M} =  3

Mean distance  δ_{m} =  3.252 52

Gini coefficient  G =  0.651 273

Balanced inequality ratio  P =  0.255 405

Outdegree balanced inequality ratio  P_{+} =  0.262 255

Indegree balanced inequality ratio  P_{−} =  0.267 659

Relative edge distribution entropy  H_{er} =  0.907 726

Power law exponent  γ =  1.365 53

Tail power law exponent  γ_{t} =  2.601 00

Tail power law exponent with p  γ_{3} =  2.601 00

pvalue  p =  0.000 00

Outdegree tail power law exponent with p  γ_{3,o} =  1.341 00

Outdegree pvalue  p_{o} =  0.000 00

Indegree tail power law exponent with p  γ_{3,i} =  2.491 00

Indegree pvalue  p_{i} =  0.000 00

Degree assortativity  ρ =  −0.100 226

Degree assortativity pvalue  p_{ρ} =  0.000 00

In/outdegree correlation  ρ^{±} =  +0.841 902

Clustering coefficient  c =  0.453 959

Directed clustering coefficient  c^{±} =  0.802 495

Spectral norm  α =  324.295

Operator 2norm  ν =  165.848

Cyclic eigenvalue  π =  159.064

Algebraic connectivity  a =  0.150 498

Spectral separation  λ_{1}[A] / λ_{2}[A] =  1.315 47

Reciprocity  y =  0.719 306

Nonbipartivity  b_{A} =  0.776 768

Normalized nonbipartivity  b_{N} =  0.096 518 5

Algebraic nonbipartivity  χ =  0.151 220

Spectral bipartite frustration  b_{K} =  0.000 744 905

Controllability  C =  1,382

Relative controllability  C_{r} =  0.267 260

Plots
Matrix decompositions plots
Downloads
References
[1]

Jérôme Kunegis.
KONECT – The Koblenz Network Collection.
In Proc. Int. Conf. on World Wide Web Companion, pages
1343–1350, 2013.
[ http ]
