vi.sualize.us tag–item
This is the bipartite picture tagging network of vi.sualize.us. Left nodes
represent tags and right nodes represents pictures. An edge connects a picture
with an assigned tag.
Metadata
Statistics
Size  n =  577,437

Left size  n_{1} =  82,035

Right size  n_{2} =  495,402

Volume  m =  2,298,816

Unique edge count  m̿ =  1,800,330

Wedge count  s =  30,601,838,083

Claw count  z =  1,985,799,614,059,094

Cross count  x =  1.106 78 × 10^{20}

Square count  q =  2,199,351,548

4Tour count  T_{4} =  140,005,809,036

Maximum degree  d_{max} =  405,429

Maximum left degree  d_{1max} =  405,429

Maximum right degree  d_{2max} =  790

Average degree  d =  7.962 14

Average left degree  d_{1} =  28.022 4

Average right degree  d_{2} =  4.640 30

Fill  p =  4.429 91 × 10^{−5}

Average edge multiplicity  m̃ =  1.276 89

Size of LCC  N =  564,218

Diameter  δ =  17

50Percentile effective diameter  δ_{0.5} =  3.468 93

90Percentile effective diameter  δ_{0.9} =  4.915 48

Median distance  δ_{M} =  4

Mean distance  δ_{m} =  3.887 09

Gini coefficient  G =  0.764 600

Balanced inequality ratio  P =  0.201 174

Left balanced inequality ratio  P_{1} =  0.083 396 4

Right balanced inequality ratio  P_{2} =  0.282 309

Relative edge distribution entropy  H_{er} =  0.796 917

Power law exponent  γ =  2.174 53

Tail power law exponent  γ_{t} =  2.591 00

Degree assortativity  ρ =  −0.167 621

Degree assortativity pvalue  p_{ρ} =  0.000 00

Spectral norm  α =  1,548.34

Algebraic connectivity  a =  0.009 718 28

Spectral separation  λ_{1}[A] / λ_{2}[A] =  3.644 49

Controllability  C =  442,519

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Unpublished, 2010.
