Wikipedia messages (en)
This is the communication network of the English Wikipedia. Nodes represent
users of the English Wikipedia, and an edge from user A to user B denotes that
user A has written a message on the talk page of user B.
Metadata
Statistics
Size  n =  2,394,385

Volume  m =  5,021,410

Loop count  l =  0

Wedge count  s =  12,593,522,422

Claw count  z =  194,800,937,548,878

Cross count  x =  4,295,377,891,639,605,248

Triangle count  t =  9,203,519

Square count  q =  2,152,013,141

4Tour count  T_{4} =  67,599,513,946

Maximum degree  d_{max} =  100,032

Maximum outdegree  d^{+}_{max} =  100,022

Maximum indegree  d^{−}_{max} =  3,311

Average degree  d =  4.194 32

Fill  p =  8.758 66 × 10^{−7}

Size of LCC  N =  2,388,953

Size of LSCC  N_{s} =  111,881

Relative size of LSCC  N^{r}_{s} =  0.046 726 4

Diameter  δ =  11

50Percentile effective diameter  δ_{0.5} =  3.426 22

90Percentile effective diameter  δ_{0.9} =  3.942 46

Median distance  δ_{M} =  4

Mean distance  δ_{m} =  3.881 73

Gini coefficient  G =  0.735 980

Balanced inequality ratio  P =  0.204 663

Outdegree balanced inequality ratio  P_{+} =  0.076 922 2

Indegree balanced inequality ratio  P_{−} =  0.318 476

Relative edge distribution entropy  H_{er} =  0.786 680

Power law exponent  γ =  4.293 32

Tail power law exponent  γ_{t} =  2.461 00

Degree assortativity  ρ =  −0.060 392 0

Degree assortativity pvalue  p_{ρ} =  0.000 00

Clustering coefficient  c =  0.002 192 44

Directed clustering coefficient  c^{±} =  0.014 689 7

Spectral norm  α =  493.096

Operator 2norm  ν =  319.068

Cyclic eigenvalue  π =  228.940

Algebraic connectivity  a =  0.031 811 8

Spectral separation  λ_{1}[A] / λ_{2}[A] =  1.548 10

Reciprocity  y =  0.144 121

Nonbipartivity  b_{A} =  0.354 761

Normalized nonbipartivity  b_{N} =  0.016 804 0

Algebraic nonbipartivity  χ =  0.031 811 4

Spectral bipartite frustration  b_{K} =  0.002 039 97

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 ]

[2]

Jure Leskovec, Daniel Huttenlocher, and Jon Kleinberg.
Governance in social media: A case study of the Wikipedia promotion
process.
In Proc. Int. Conf. on Weblogs and Soc. Media, 2010.
