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

CodeMti
Internal namemovielens-10m_ti
NameMovieLens tag–item
Data sourcehttp://www.grouplens.org/node/73
AvailabilityDataset is available for download
Consistency checkDataset passed all tests
Category
Feature network
Node meaningTag, movie
Edge meaningTag assignment
Network formatBipartite, undirected
Edge typeUnweighted, multiple edges
Temporal data Edges are annotated with timestamps

Statistics

Size n =24,129
Left size n1 =16,528
Right size n2 =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
4-Tour count T4 =20,740,224
Maximum degree dmax =641
Maximum left degree d1max =641
Maximum right degree d2max =308
Average degree d =7.922 42
Average left degree d1 =5.782 91
Average right degree d2 =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
50-Percentile effective diameter δ0.5 =4.282 43
90-Percentile effective diameter δ0.9 =5.690 08
Median distance δM =5
Mean distance δm =4.781 08
Gini coefficient G =0.743 230
Balanced inequality ratio P =0.202 307
Left balanced inequality ratio P1 =0.198 347
Right balanced inequality ratio P2 =0.250 983
Relative edge distribution entropy Her =0.894 530
Power law exponent γ =2.122 38
Tail power law exponent γt =3.141 00
Tail power law exponent with p γ3 =3.141 00
p-value p =0.187 000
Left tail power law exponent with p γ3,1 =1.981 00
Left p-value p1 =0.000 00
Right tail power law exponent with p γ3,2 =4.201 00
Right p-value p2 =0.079 000 0
Degree assortativity ρ =−0.085 398 3
Degree assortativity p-value pρ =0.000 00
Spectral norm α =86.440 1
Algebraic connectivity a =0.044 767 2
Spectral separation 1[A] / λ2[A]| =1.226 55
Controllability C =12,418
Relative controllability Cr =0.514 650

Plots

Degree distribution

Cumulative degree distribution

Lorenz curve

Spectral distribution of the adjacency matrix

Spectral distribution of the normalized adjacency matrix

Spectral distribution of the Laplacian

Spectral graph drawing based on the adjacency matrix

Spectral graph drawing based on the Laplacian

Spectral graph drawing based on the normalized adjacency matrix

Degree assortativity

Zipf plot

Hop distribution

Edge weight/multiplicity distribution

Temporal distribution

Temporal hop distribution

Diameter/density evolution

Inter-event distribution

Node-level inter-event distribution

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.