Google+ (IMC12)
This directed network contains a snapshot of the Google+ social structure.
Nodes represent users. An edge shows social interaction between users.
Metadata
Statistics
Size  n =  28,943,739

Volume  m =  462,994,069

Loop count  l =  0

Wedge count  s =  898,518,918,326

Claw count  z =  36,561,956,367,546,032

Cross count  x =  2.685 18 × 10^{21}

Triangle count  t =  14,448,627,246

Maximum degree  d_{max} =  452,665

Maximum outdegree  d^{+}_{max} =  18,701

Maximum indegree  d^{−}_{max} =  452,591

Average degree  d =  31.992 7

Fill  p =  5.526 70 × 10^{−7}

Size of LCC  N =  28,903,418

Size of LSCC  N_{s} =  22,444,688

Relative size of LSCC  N^{r}_{s} =  0.775 459

Diameter  δ =  22

50Percentile effective diameter  δ_{0.5} =  4.515 60

90Percentile effective diameter  δ_{0.9} =  6.160 95

Median distance  δ_{M} =  5

Mean distance  δ_{m} =  5.117 18

Balanced inequality ratio  P =  0.213 766

Outdegree balanced inequality ratio  P_{+} =  0.223 678

Indegree balanced inequality ratio  P_{−} =  0.217 916

Relative edge distribution entropy  H_{er} =  0.906 965

Power law exponent  γ =  1.518 51

Clustering coefficient  c =  0.048 241 5

Spectral norm  α =  3,602.22

Operator 2norm  ν =  2,447.21

Reciprocity  y =  0.550 040

Nonbipartivity  b_{A} =  0.509 053

Normalized nonbipartivity  b_{N} =  0.004 642 58

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]

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.
