MovieLens tag–item
This bipartite network consists of 100,000 tags applied to 10,000 movies from
http://movielens.umn.edu/. Left nodes are tags and right nodes are movies. An
edge shows that a tag was applied to a movie.
Metadata
Statistics
Size  n =  24,129

Left size  n_{1} =  16,528

Right size  n_{2} =  7,601

Volume  m =  95,580

Unique edge count  m̿ =  71,154

Wedge count  s =  3,229,651

Claw count  z =  205,226,828

Cross count  x =  18,155,774,783

Square count  q =  959,491

4Tour count  T_{4} =  20,740,224

Maximum degree  d_{max} =  641

Maximum left degree  d_{1max} =  641

Maximum right degree  d_{2max} =  308

Average degree  d =  7.922 42

Average left degree  d_{1} =  5.782 91

Average right degree  d_{2} =  12.574 7

Fill  p =  0.000 566 380

Average edge multiplicity  m̃ =  1.343 28

Size of LCC  N =  23,760

Diameter  δ =  14

50Percentile effective diameter  δ_{0.5} =  4.282 43

90Percentile effective diameter  δ_{0.9} =  5.690 08

Median distance  δ_{M} =  5

Mean distance  δ_{m} =  4.781 08

Gini coefficient  G =  0.743 230

Balanced inequality ratio  P =  0.202 307

Left balanced inequality ratio  P_{1} =  0.198 347

Right balanced inequality ratio  P_{2} =  0.250 983

Relative edge distribution entropy  H_{er} =  0.894 530

Power law exponent  γ =  2.122 38

Tail power law exponent  γ_{t} =  3.141 00

Tail power law exponent with p  γ_{3} =  3.141 00

pvalue  p =  0.170 000

Left tail power law exponent with p  γ_{3,1} =  1.981 00

Left pvalue  p_{1} =  0.000 00

Right tail power law exponent with p  γ_{3,2} =  4.201 00

Right pvalue  p_{2} =  0.067 000 0

Degree assortativity  ρ =  −0.085 398 3

Degree assortativity pvalue  p_{ρ} =  2.834 24 × 10^{−115}

Spectral norm  α =  86.440 1

Algebraic connectivity  a =  0.044 767 2

Spectral separation  λ_{1}[A] / λ_{2}[A] =  1.226 55

Controllability  C =  12,418

Relative controllability  C_{r} =  0.514 650

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.
