MovieLens 10M
This bipartite network contains ten 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 indicates that the user has rated the movie
with the rating value attached to the edge.
Metadata
Statistics
Size  n =  80,555

Left size  n_{1} =  69,878

Right size  n_{2} =  10,677

Volume  m =  10,000,054

Wedge count  s =  40,053,435,221

Claw count  z =  192,388,462,626,632

Cross count  x =  992,182,227,743,663,616

Square count  q =  1,197,019,065,804

4Tour count  T_{4} =  9,736,390,797,092

Maximum degree  d_{max} =  34,864

Maximum left degree  d_{1max} =  7,359

Maximum right degree  d_{2max} =  34,864

Average degree  d =  248.279

Average left degree  d_{1} =  143.107

Average right degree  d_{2} =  936.598

Fill  p =  0.013 403 3

Size of LCC  N =  80,555

Diameter  δ =  6

50Percentile effective diameter  δ_{0.5} =  1.745 33

90Percentile effective diameter  δ_{0.9} =  2.862 55

Median distance  δ_{M} =  2

Mean distance  δ_{m} =  2.390 74

Gini coefficient  G =  0.728 263

Balanced inequality ratio  P =  0.214 399

Left balanced inequality ratio  P_{1} =  0.280 829

Right balanced inequality ratio  P_{2} =  0.174 351

Relative edge distribution entropy  H_{er} =  0.875 075

Power law exponent  γ =  1.223 83

Tail power law exponent  γ_{t} =  1.841 00

Degree assortativity  ρ =  −0.243 136

Degree assortativity pvalue  p_{ρ} =  0.000 00

Spectral norm  α =  496.970

Algebraic connectivity  a =  0.015 709 5

Spectral separation  λ_{1}[A] / λ_{2}[A] =  1.240 89

Negativity  ζ =  0.453 414

Algebraic conflict  ξ =  0.947 072

Spectral signed frustration  φ =  0.000 953 637

Controllability  C =  59,515

Relative controllability  C_{r} =  0.738 812

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.
