MovieLens 100k
This bipartite network consists of 100,000 user–movie ratings from
http://movielens.umn.edu/. Left nodes are users and right nodes are movies. An
edge between a user and a movie represents a rating of the movie by the user.
Metadata
Statistics
Size  n =  2,625

Left size  n_{1} =  943

Right size  n_{2} =  1,682

Volume  m =  100,000

Wedge count  s =  18,367,254

Claw count  z =  1,702,768,149

Cross count  x =  151,956,070,551

Square count  q =  220,548,028

4Tour count  T_{4} =  1,838,200,228

Maximum degree  d_{max} =  737

Maximum left degree  d_{1max} =  737

Maximum right degree  d_{2max} =  583

Average degree  d =  76.190 5

Average left degree  d_{1} =  106.045

Average right degree  d_{2} =  59.453 0

Fill  p =  0.063 046 7

Size of LCC  N =  2,625

Diameter  δ =  5

50Percentile effective diameter  δ_{0.5} =  2.245 03

90Percentile effective diameter  δ_{0.9} =  3.422 10

Median distance  δ_{M} =  3

Mean distance  δ_{m} =  2.751 80

Gini coefficient  G =  0.597 836

Balanced inequality ratio  P =  0.275 130

Left balanced inequality ratio  P_{1} =  0.316 090

Right balanced inequality ratio  P_{2} =  0.259 320

Relative edge distribution entropy  H_{er} =  0.926 887

Power law exponent  γ =  1.285 18

Tail power law exponent  γ_{t} =  1.991 00

Tail power law exponent with p  γ_{3} =  1.991 00

pvalue  p =  0.000 00

Left tail power law exponent with p  γ_{3,1} =  1.771 00

Left pvalue  p_{1} =  0.000 00

Right tail power law exponent with p  γ_{3,2} =  2.181 00

Right pvalue  p_{2} =  0.000 00

Degree assortativity  ρ =  −0.215 721

Degree assortativity pvalue  p_{ρ} =  0.000 00

Spectral norm  α =  57.801 5

Algebraic connectivity  a =  0.021 479 4

Spectral separation  λ_{1}[A] / λ_{2}[A] =  1.120 21

Negativity  ζ =  0.444 620

Controllability  C =  739

Relative controllability  C_{r} =  0.281 524

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.
