Pokec
This is the friendship network from the Slovak social network Pokec. Nodes are
users of Pokec and directed edges represent friendships.
Metadata
Statistics
Size  n =  1,632,803

Volume  m =  30,622,564

Loop count  l =  0

Wedge count  s =  2,086,073,558

Claw count  z =  3,352,153,545,587

Cross count  x =  13,577,672,765,395,898

Triangle count  t =  32,557,458

Square count  q =  953,891,791

Maximum degree  d_{max} =  20,518

Maximum outdegree  d^{+}_{max} =  8,763

Maximum indegree  d^{−}_{max} =  13,733

Average degree  d =  37.509 2

Fill  p =  1.148 61 × 10^{−5}

Size of LCC  N =  1,632,803

Size of LSCC  N_{s} =  1,304,537

Relative size of LSCC  N^{r}_{s} =  0.798 956

Diameter  δ =  14

50Percentile effective diameter  δ_{0.5} =  4.175 49

90Percentile effective diameter  δ_{0.9} =  5.109 52

Median distance  δ_{M} =  5

Mean distance  δ_{m} =  4.657 78

Gini coefficient  G =  0.620 519

Balanced inequality ratio  P =  0.263 488

Outdegree balanced inequality ratio  P_{+} =  0.277 918

Indegree balanced inequality ratio  P_{−} =  0.263 811

Relative edge distribution entropy  H_{er} =  0.951 356

Power law exponent  γ =  1.404 80

Tail power law exponent  γ_{t} =  3.081 00

Degree assortativity  ρ =  +0.001 636 60

Degree assortativity pvalue  p_{ρ} =  8.265 56 × 10^{−28}

Clustering coefficient  c =  0.046 821 2

Directed clustering coefficient  c^{±} =  0.054 413 4

Spectral norm  α =  247.819

Operator 2norm  ν =  132.219

Cyclic eigenvalue  π =  118.527

Reciprocity  y =  0.543 429

Nonbipartivity  b_{A} =  0.049 025 9

Normalized nonbipartivity  b_{N} =  0.012 475 3

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]

Lubos Takac and Michal Zabovsky.
Data analysis in public social networks.
In Proc. Int. Scientific Conf. and Int. Workshop Present Day
Trends of Innovations, 2012.
