Google+ (IMC12)
This bipartite network contains a snapshot of the Google+ social structure.
Left nodes represent users and right nodes represent attributes. An edge links
a user to a attribute which he may share with other users.
Metadata
Statistics
Size  n =  10,442,421

Left size  n_{1} =  5,998,790

Right size  n_{2} =  4,443,631

Volume  m =  20,592,962

Wedge count  s =  31,413,709,466

Claw count  z =  310,331,918,210,903

Cross count  x =  4,592,753,920,185,512,448

Maximum degree  d_{max} =  95,165

Maximum left degree  d_{1max} =  423

Maximum right degree  d_{2max} =  95,165

Average degree  d =  3.944 10

Average left degree  d_{1} =  3.432 85

Average right degree  d_{2} =  4.634 26

Fill  p =  7.725 33 × 10^{−7}

Size of LCC  N =  9,363,023

Diameter  δ =  24

50Percentile effective diameter  δ_{0.5} =  5.482 73

90Percentile effective diameter  δ_{0.9} =  7.315 80

Mean distance  δ_{m} =  6.046 39

Gini coefficient  G =  0.579 175

Balanced inequality ratio  P =  0.290 747

Left balanced inequality ratio  P_{1} =  0.342 269

Right balanced inequality ratio  P_{2} =  0.181 707

Relative edge distribution entropy  H_{er} =  0.893 300

Power law exponent  γ =  2.492 22

Tail power law exponent  γ_{t} =  1.961 00

Degree assortativity  ρ =  −0.017 463 1

Degree assortativity pvalue  p_{ρ} =  0.000 00

Spectral norm  α =  309.460

Spectral separation  λ_{1}[A] / λ_{2}[A] =  1.316 52

Controllability  C =  4,592,127

Relative controllability  C_{r} =  0.439 757

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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]

Neil Zhenqiang Gong, Wenchang Xu, Ling Huang, Prateek Mittal, Emil Stefanov,
Vyas Sekar, and Dawn Song.
Evolution of socialattribute networks: Measurements, modeling, and
implications using Google+.
In Proc. Internet Measurement Conf., pages 131–144, 2012.
