LiveJournal
This is the social network of LiveJournal. Nodes are users of LiveJournal, and
directed edges represent friendships.
Metadata
Statistics
Size  n =  4,846,609

Volume  m =  68,475,391

Loop count  l =  0

Wedge count  s =  7,269,503,753

Claw count  z =  9,778,896,249,995

Cross count  x =  26,294,801,172,589,484

Triangle count  t =  285,730,264

Square count  q =  51,520,572,777

Maximum degree  d_{max} =  22,887

Maximum outdegree  d^{+}_{max} =  20,292

Maximum indegree  d^{−}_{max} =  13,905

Average degree  d =  28.257 0

Fill  p =  2.915 13 × 10^{−6}

Size of LCC  N =  4,843,953

Size of LSCC  N_{s} =  3,828,682

Relative size of LSCC  N^{r}_{s} =  0.789 815

Diameter  δ =  20

50Percentile effective diameter  δ_{0.5} =  4.949 60

90Percentile effective diameter  δ_{0.9} =  6.179 12

Median distance  δ_{M} =  5

Mean distance  δ_{m} =  5.488 16

Gini coefficient  G =  0.715 911

Balanced inequality ratio  P =  0.220 534

Outdegree balanced inequality ratio  P_{+} =  0.231 190

Indegree balanced inequality ratio  P_{−} =  0.226 957

Relative edge distribution entropy  H_{er} =  0.929 996

Power law exponent  γ =  1.561 69

Tail power law exponent  γ_{t} =  2.651 00

Degree assortativity  ρ =  +0.021 043 4

Degree assortativity pvalue  p_{ρ} =  0.000 00

Clustering coefficient  c =  0.117 916

Directed clustering coefficient  c^{±} =  0.152 551

Spectral norm  α =  760.849

Operator 2norm  ν =  404.861

Cyclic eigenvalue  π =  352.036

Reciprocity  y =  0.748 419

Nonbipartivity  b_{A} =  0.703 558

Normalized nonbipartivity  b_{N} =  0.005 300 70

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, Kevin J. Lang, Anirban Dasgupta, and Michael W. Mahoney.
Statistical properties of community structure in large social and
information networks.
In Proc. Int. World Wide Web Conf., pages 695–704, 2008.
