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
Statistics
Size  n =  1,085,612

Left size  n_{1} =  992

Right size  n_{2} =  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

4Tour count  T_{4} =  347,084,940,232

Maximum degree  d_{max} =  183,103

Maximum left degree  d_{1max} =  183,103

Maximum right degree  d_{2max} =  17,601

Average degree  d =  35.281 2

Average left degree  d_{1} =  19,305.3

Average right degree  d_{2} =  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

50Percentile effective diameter  δ_{0.5} =  3.487 12

90Percentile effective diameter  δ_{0.9} =  3.897 45

Median distance  δ_{M} =  4

Mean distance  δ_{m} =  3.952 16

Gini coefficient  G =  0.908 531

Balanced inequality ratio  P =  0.111 067

Left balanced inequality ratio  P_{1} =  0.289 593

Right balanced inequality ratio  P_{2} =  0.161 995

Relative edge distribution entropy  H_{er} =  0.737 931

Power law exponent  γ =  2.713 84

Tail power law exponent  γ_{t} =  1.921 00

Degree assortativity  ρ =  −0.114 597

Degree assortativity pvalue  p_{ρ} =  0.000 00

Spectral norm  α =  7,516.29

Algebraic connectivity  a =  0.518 714

Spectral separation  λ_{1}[A] / λ_{2}[A] =  1.043 10

Controllability  C =  1,083,628

Relative controllability  C_{r} =  0.998 172

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]

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