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Metadata
Statistics
Size  n =  29,714

Volume  m =  316,266

Unique edge count  m̿ =  165,185

Loop count  l =  31,707

Wedge count  s =  20,540,914

Claw count  z =  33,525,136,262

Cross count  x =  34,767,043,592,978

Triangle count  t =  257,803

Square count  q =  21,803,510

4Tour count  T_{4} =  256,822,948

Maximum degree  d_{max} =  29,766

Maximum outdegree  d^{+}_{max} =  20,480

Maximum indegree  d^{−}_{max} =  9,286

Average degree  d =  21.287 3

Fill  p =  0.000 187 089

Average edge multiplicity  m̃ =  1.914 62

Size of LCC  N =  28,455

Size of LSCC  N_{s} =  15,879

Relative size of LSCC  N^{r}_{s} =  0.534 395

Diameter  δ =  16

50Percentile effective diameter  δ_{0.5} =  4.277 96

90Percentile effective diameter  δ_{0.9} =  5.835 03

Median distance  δ_{M} =  5

Mean distance  δ_{m} =  4.778 45

Gini coefficient  G =  0.810 567

Balanced inequality ratio  P =  0.172 831

Outdegree balanced inequality ratio  P_{+} =  0.159 856

Indegree balanced inequality ratio  P_{−} =  0.204 897

Relative edge distribution entropy  H_{er} =  0.861 872

Power law exponent  γ =  1.874 83

Tail power law exponent  γ_{t} =  2.271 00

Tail power law exponent with p  γ_{3} =  2.271 00

pvalue  p =  0.464 000

Outdegree tail power law exponent with p  γ_{3,o} =  2.061 00

Outdegree pvalue  p_{o} =  0.094 000 0

Indegree tail power law exponent with p  γ_{3,i} =  2.691 00

Indegree pvalue  p_{i} =  0.566 000

Degree assortativity  ρ =  −0.104 604

Degree assortativity pvalue  p_{ρ} =  0.000 00

In/outdegree correlation  ρ^{±} =  +0.788 544

Clustering coefficient  c =  0.037 652 1

Directed clustering coefficient  c^{±} =  0.036 019 4

Spectral norm  α =  1,490.72

Operator 2norm  ν =  922.825

Cyclic eigenvalue  π =  695.387

Algebraic connectivity  a =  0.027 570 1

Spectral separation  λ_{1}[A] / λ_{2}[A] =  1.208 29

Reciprocity  y =  0.544 232

Nonbipartivity  b_{A} =  0.172 382

Normalized nonbipartivity  b_{N} =  0.014 608 0

Algebraic nonbipartivity  χ =  0.027 325 0

Spectral bipartite frustration  b_{K} =  0.000 784 644

Controllability  C =  12,636

Relative controllability  C_{r} =  0.425 254

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 ]
