vi.sualize.us user–tag
This is the bipartite picture tagging network of vi.sualize.us. Left nodes
represent users and right nodes represent tags. An edge connects a user and a
tag he has used.
Metadata
Statistics
Size  n =  99,157

Left size  n_{1} =  17,122

Right size  n_{2} =  82,035

Volume  m =  2,298,816

Unique edge count  m̿ =  449,503

Wedge count  s =  211,070,075

Claw count  z =  290,844,387,003

Cross count  x =  596,462,431,865,815

Square count  q =  519,071,489

4Tour count  T_{4} =  4,997,987,030

Maximum degree  d_{max} =  405,429

Maximum left degree  d_{1max} =  46,571

Maximum right degree  d_{2max} =  405,429

Average degree  d =  46.367 2

Average left degree  d_{1} =  134.261

Average right degree  d_{2} =  28.022 4

Fill  p =  0.000 320 021

Average edge multiplicity  m̃ =  5.114 13

Size of LCC  N =  98,486

Diameter  δ =  12

50Percentile effective diameter  δ_{0.5} =  3.453 47

90Percentile effective diameter  δ_{0.9} =  4.781 47

Median distance  δ_{M} =  4

Mean distance  δ_{m} =  4.001 17

Gini coefficient  G =  0.940 143

Balanced inequality ratio  P =  0.082 228 4

Left balanced inequality ratio  P_{1} =  0.148 075

Right balanced inequality ratio  P_{2} =  0.083 396 4

Relative edge distribution entropy  H_{er} =  0.810 950

Power law exponent  γ =  2.439 72

Tail power law exponent  γ_{t} =  1.701 00

Degree assortativity  ρ =  −0.106 507

Degree assortativity pvalue  p_{ρ} =  0.000 00

Spectral norm  α =  18,991.5

Algebraic connectivity  a =  0.011 268 9

Spectral separation  λ_{1}[A] / λ_{2}[A] =  2.145 22

Controllability  C =  76,829

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]

Nicolas Neubauer and Klaus Obermayer.
Analysis of the Visualize.us folksonomy.
Unpublished, 2010.
