MovieLens 1M
This bipartite network contains one million movie ratings from
http://movielens.umn.edu/. Left nodes are users and right nodes are movies. An
edge between a user and a movie shows that the user has rated the movie.
Metadata
Statistics
Size  n =  9,746

Left size  n_{1} =  6,040

Right size  n_{2} =  3,706

Volume  m =  1,000,209

Wedge count  s =  602,009,923

Claw count  z =  226,612,176,337

Cross count  x =  92,787,513,219,316

Square count  q =  16,671,201,295

4Tour count  T_{4} =  135,780,401,238

Maximum degree  d_{max} =  3,428

Maximum left degree  d_{1max} =  2,314

Maximum right degree  d_{2max} =  3,428

Average degree  d =  205.255

Average left degree  d_{1} =  165.598

Average right degree  d_{2} =  269.889

Fill  p =  0.044 683 6

Size of LCC  N =  9,746

Diameter  δ =  6

50Percentile effective diameter  δ_{0.5} =  2.005 85

90Percentile effective diameter  δ_{0.9} =  2.859 70

Median distance  δ_{M} =  3

Mean distance  δ_{m} =  2.518 18

Gini coefficient  G =  0.533 280

Balanced inequality ratio  P =  0.297 482

Left balanced inequality ratio  P_{1} =  0.296 410

Right balanced inequality ratio  P_{2} =  0.257 754

Relative edge distribution entropy  H_{er} =  0.931 081

Power law exponent  γ =  1.218 68

Tail power law exponent  γ_{t} =  1.801 00

Degree assortativity  ρ =  −0.205 437

Degree assortativity pvalue  p_{ρ} =  0.000 00

Spectral norm  α =  177.579

Algebraic connectivity  a =  0.005 940 63

Spectral separation  λ_{1}[A] / λ_{2}[A] =  1.362 99

Negativity  ζ =  0.434 627

Controllability  C =  2,428

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.
