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
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Left size | n1 = | 4,009
|
Right size | n2 = | 16,528
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Volume | m = | 95,580
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Unique edge count | m̿ = | 43,760
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Wedge count | s = | 8,091,394
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Claw count | z = | 3,409,576,286
|
Cross count | x = | 1,454,031,072,304
|
Square count | q = | 1,580,737
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4-Tour count | T4 = | 45,103,872
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Maximum degree | dmax = | 6,012
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Maximum left degree | d1max = | 6,012
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Maximum right degree | d2max = | 641
|
Average degree | d = | 9.308 08
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Average left degree | d1 = | 23.841 4
|
Average right degree | d2 = | 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
|
50-Percentile effective diameter | δ0.5 = | 3.767 09
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90-Percentile effective diameter | δ0.9 = | 5.515 21
|
Median distance | δM = | 4
|
Mean distance | δm = | 4.414 66
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Gini coefficient | G = | 0.828 724
|
Balanced inequality ratio | P = | 0.152 767
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Left balanced inequality ratio | P1 = | 0.125 811
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Right balanced inequality ratio | P2 = | 0.198 347
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Relative edge distribution entropy | Her = | 0.841 697
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Power law exponent | γ = | 2.755 53
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Tail power law exponent | γt = | 2.001 00
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Tail power law exponent with p | γ3 = | 2.001 00
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p-value | p = | 0.001 000 00
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Left tail power law exponent with p | γ3,1 = | 2.061 00
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Left p-value | p1 = | 0.058 000 0
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Right tail power law exponent with p | γ3,2 = | 2.161 00
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Right p-value | p2 = | 0.103 000
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Degree assortativity | ρ = | −0.180 095
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Degree assortativity p-value | pρ = | 1.072 44 × 10−315
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Spectral norm | α = | 640.915
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Algebraic connectivity | a = | 0.027 834 6
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Spectral separation | |λ1[A] / λ2[A]| = | 1.023 22
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Controllability | C = | 14,029
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Relative controllability | Cr = | 0.683 109
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Plots
Matrix decompositions plots
Downloads
References
[1]
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Jérôme Kunegis.
KONECT – The Koblenz Network Collection.
In Proc. Int. Conf. on World Wide Web Companion, pages
1343–1350, 2013.
[ http ]
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[2]
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GroupLens Research.
MovieLens data sets.
http://www.grouplens.org/node/73, October 2006.
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