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Metadata
Statistics
Size  n =  159,316

Volume  m =  964,437

Unique edge count  m̿ =  596,933

Wedge count  s =  188,156,256

Claw count  z =  252,705,958,594

Cross count  x =  249,885,857,271,550

Triangle count  t =  680,407

Square count  q =  71,698,775

4Tour count  T_{4} =  1,327,126,606

Maximum degree  d_{max} =  12,316

Maximum outdegree  d^{+}_{max} =  8,729

Maximum indegree  d^{−}_{max} =  4,926

Average degree  d =  12.107 2

Fill  p =  2.351 83 × 10^{−5}

Average edge multiplicity  m̃ =  1.615 65

Size of LCC  N =  152,599

Size of LSCC  N_{s} =  59,813

Relative size of LSCC  N^{r}_{s} =  0.375 436

Diameter  δ =  13

50Percentile effective diameter  δ_{0.5} =  3.278 48

90Percentile effective diameter  δ_{0.9} =  4.482 80

Median distance  δ_{M} =  4

Mean distance  δ_{m} =  3.819 30

Balanced inequality ratio  P =  0.194 306

Outdegree balanced inequality ratio  P_{+} =  0.179 595

Indegree balanced inequality ratio  P_{−} =  0.232 914

Relative edge distribution entropy  H_{er} =  0.857 714

Tail power law exponent  γ_{t} =  2.141 00

Tail power law exponent with p  γ_{3} =  2.141 00

pvalue  p =  0.367 000

Outdegree tail power law exponent with p  γ_{3,o} =  2.001 00

Outdegree pvalue  p_{o} =  0.822 000

Indegree tail power law exponent with p  γ_{3,i} =  2.361 00

Indegree pvalue  p_{i} =  0.446 000

Degree assortativity  ρ =  −0.155 792

Degree assortativity pvalue  p_{ρ} =  0.000 00

In/outdegree correlation  ρ^{±} =  +0.654 317

Clustering coefficient  c =  0.010 848 5

Directed clustering coefficient  c^{±} =  0.013 786 8

Spectral norm  α =  3,277.17

Operator 2norm  ν =  1,643.72

Algebraic connectivity  a =  0.043 786 1

Reciprocity  y =  0.385 591

Normalized nonbipartivity  b_{N} =  0.027 748 7

Spectral bipartite frustration  b_{K} =  0.001 856 31

Controllability  C =  78,044

Relative controllability  C_{r} =  0.489 869

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.
Stanford Network Analysis Project.
http://snap.stanford.edu/, September 2014.
