MovieLens user–tag
This bipartite network shows the tagging behaviour of 72,000 users of
http://movielens.umn.edu/. Left nodes are users and right nodes are tags. An
edge connects a user with a tag he applied to a movie.
Metadata
Statistics
Size  n =  20,537

Left size  n_{1} =  4,009

Right size  n_{2} =  16,528

Volume  m =  95,580

Unique edge count  m̿ =  43,760

Wedge count  s =  8,091,394

Claw count  z =  3,409,576,286

Cross count  x =  1,454,031,072,304

Square count  q =  1,580,737

4Tour count  T_{4} =  45,103,872

Maximum degree  d_{max} =  6,012

Maximum left degree  d_{1max} =  6,012

Maximum right degree  d_{2max} =  641

Average degree  d =  9.308 08

Average left degree  d_{1} =  23.841 4

Average right degree  d_{2} =  5.782 91

Fill  p =  0.000 660 421

Average edge multiplicity  m̃ =  2.184 19

Size of LCC  N =  19,665

Diameter  δ =  14

50Percentile effective diameter  δ_{0.5} =  3.767 09

90Percentile effective diameter  δ_{0.9} =  5.515 21

Median distance  δ_{M} =  4

Mean distance  δ_{m} =  4.414 66

Gini coefficient  G =  0.828 724

Balanced inequality ratio  P =  0.152 767

Left balanced inequality ratio  P_{1} =  0.125 811

Right balanced inequality ratio  P_{2} =  0.198 347

Relative edge distribution entropy  H_{er} =  0.841 697

Power law exponent  γ =  2.755 53

Tail power law exponent  γ_{t} =  2.001 00

Tail power law exponent with p  γ_{3} =  2.001 00

pvalue  p =  0.001 000 00

Left tail power law exponent with p  γ_{3,1} =  2.061 00

Left pvalue  p_{1} =  0.054 000 0

Right tail power law exponent with p  γ_{3,2} =  2.161 00

Right pvalue  p_{2} =  0.110 000

Degree assortativity  ρ =  −0.180 095

Degree assortativity pvalue  p_{ρ} =  1.072 44 × 10^{−315}

Spectral norm  α =  640.915

Algebraic connectivity  a =  0.027 834 6

Spectral separation  λ_{1}[A] / λ_{2}[A] =  1.023 22

Controllability  C =  14,029

Relative controllability  C_{r} =  0.683 109

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]

GroupLens Research.
MovieLens data sets.
http://www.grouplens.org/node/73, October 2006.
