vi.sualize.us user–item
This is the bipartite picture tagging network of vi.sualize.us. Left nodes
represent users and right nodes represents pictures. An edge connects a user
with a picture he has tagged.
Metadata
Statistics
Size  n =  512,524

Left size  n_{1} =  17,122

Right size  n_{2} =  495,402

Volume  m =  2,298,816

Unique edge count  m̿ =  997,840

Wedge count  s =  489,164,625

Claw count  z =  582,878,646,237

Cross count  x =  817,106,873,248,892

Square count  q =  19,336,325

4Tour count  T_{4} =  2,113,369,668

Maximum degree  d_{max} =  46,571

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

Maximum right degree  d_{2max} =  790

Average degree  d =  8.970 57

Average left degree  d_{1} =  134.261

Average right degree  d_{2} =  4.640 30

Fill  p =  0.000 117 638

Average edge multiplicity  m̃ =  2.303 79

Size of LCC  N =  506,648

Diameter  δ =  14

50Percentile effective diameter  δ_{0.5} =  5.057 31

90Percentile effective diameter  δ_{0.9} =  5.878 07

Median distance  δ_{M} =  6

Mean distance  δ_{m} =  5.154 40

Gini coefficient  G =  0.776 842

Balanced inequality ratio  P =  0.191 994

Left balanced inequality ratio  P_{1} =  0.148 075

Right balanced inequality ratio  P_{2} =  0.282 309

Relative edge distribution entropy  H_{er} =  0.838 461

Power law exponent  γ =  3.355 72

Tail power law exponent  γ_{t} =  2.201 00

Degree assortativity  ρ =  −0.074 900 8

Degree assortativity pvalue  p_{ρ} =  0.000 00

Spectral norm  α =  1,012.77

Algebraic connectivity  a =  0.004 221 18

Spectral separation  λ_{1}[A] / λ_{2}[A] =  2.101 98

Controllability  C =  478,505

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Unpublished, 2010.
