Last.fm songs

This bipartite network represent the user–song listening habits of last.fm users. Left nodes are users and right nodes are songs. An edge connects users and songs they have listened to.

Metadata

CodeLs
Internal namelastfm_song
NameLast.fm songs
Data sourcehttp://www.dtic.upf.edu/~ocelma/MusicRecommendationDataset/lastfm-1K.html
AvailabilityDataset is available for download
Consistency checkDataset passed all tests
Category
Interaction network
Node meaningUser, song
Edge meaningListening
Network formatBipartite, undirected
Edge typeUnweighted, multiple edges
Temporal data Edges are annotated with timestamps

Statistics

Size n =1,085,612
Left size n1 =992
Right size n2 =1,084,620
Volume m =19,150,868
Unique edge count m̿ =4,413,834
Wedge count s =22,053,978,162
Claw count z =139,516,276,582,416
Cross count x =1,074,730,261,041,871,232
Square count q =32,357,367,219
4-Tour count T4 =347,084,940,232
Maximum degree dmax =183,103
Maximum left degree d1max =183,103
Maximum right degree d2max =17,601
Average degree d =35.281 2
Average left degree d1 =19,305.3
Average right degree d2 =17.656 8
Fill p =0.004 102 29
Average edge multiplicity m̃ =4.338 83
Size of LCC N =1,085,611
Diameter δ =6
50-Percentile effective diameter δ0.5 =3.487 12
90-Percentile effective diameter δ0.9 =3.897 45
Mean distance δm =3.952 16
Gini coefficient G =0.908 531
Balanced inequality ratio P =0.111 067
Left balanced inequality ratio P1 =0.289 593
Right balanced inequality ratio P2 =0.161 995
Relative edge distribution entropy Her =0.737 931
Power law exponent γ =2.713 84
Tail power law exponent γt =1.921 00
Degree assortativity ρ =−0.114 597
Degree assortativity p-value pρ =0.000 00
Spectral norm α =7,516.29
Algebraic connectivity a =0.518 714

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

Diameter/density evolution

Inter-event distribution

Node-level inter-event distribution

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] Òscar Celma. Music Recommendation and Discovery in the Long Tail. Springer, 2010.