YouTube
This is the social network of YouTube users and their friendship connections.
Metadata
Statistics
Size  n =  3,223,589

Volume  m =  9,375,374

Loop count  l =  0

Wedge count  s =  26,535,309,102

Claw count  z =  409,390,882,186,801

Cross count  x =  6,774,196,341,151,129,600

Triangle count  t =  12,226,580

Square count  q =  9,890,851,109

4Tour count  T_{4} =  185,286,796,028

Maximum degree  d_{max} =  91,751

Average degree  d =  5.816 73

Fill  p =  1.804 43 × 10^{−6}

Size of LCC  N =  3,216,075

Diameter  δ =  31

50Percentile effective diameter  δ_{0.5} =  4.652 66

90Percentile effective diameter  δ_{0.9} =  6.643 30

Median distance  δ_{M} =  5

Mean distance  δ_{m} =  5.291 29

Gini coefficient  G =  0.728 959

Balanced inequality ratio  P =  0.210 291

Relative edge distribution entropy  H_{er} =  0.859 534

Power law exponent  γ =  2.337 95

Tail power law exponent  γ_{t} =  2.211 00

Degree assortativity  ρ =  −0.063 163 4

Degree assortativity pvalue  p_{ρ} =  0.000 00

Clustering coefficient  c =  0.001 382 30

Spectral norm  α =  464.866

Spectral separation  λ_{1}[A] / λ_{2}[A] =  1.089 43

Nonbipartivity  b_{A} =  0.082 089 1

Normalized nonbipartivity  b_{N} =  0.001 666 96

Controllability  C =  1,570,131

Relative controllability  C_{r} =  0.487 076

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References
[1]

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

[2]

Alan Mislove.
Online Social Networks: Measurement, Analysis, and Applications
to Distributed Information Systems.
PhD thesis, Rice Univ., 2009.
