Last.fm bands
This bipartite network contains user–band listening events from the music
website last.fm. An edge shows that a user listened to a song of a band.
Metadata
Statistics
Size  n =  175,069

Left size  n_{1} =  992

Right size  n_{2} =  174,077

Volume  m =  19,150,868

Unique edge count  m̿ =  898,062

Wedge count  s =  889,895,853

Claw count  z =  890,736,635,531

Cross count  x =  976,152,225,850,783

Square count  q =  4,419,565,780

4Tour count  T_{4} =  38,918,474,416

Maximum degree  d_{max} =  183,103

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

Maximum right degree  d_{2max} =  115,209

Average degree  d =  218.781

Average left degree  d_{1} =  19,305.3

Average right degree  d_{2} =  110.014

Fill  p =  0.005 200 60

Average edge multiplicity  m̃ =  21.324 7

Size of LCC  N =  175,069

Diameter  δ =  6

50Percentile effective diameter  δ_{0.5} =  3.475 46

90Percentile effective diameter  δ_{0.9} =  3.895 35

Median distance  δ_{M} =  4

Mean distance  δ_{m} =  3.919 94

Gini coefficient  G =  0.964 193

Balanced inequality ratio  P =  0.060 768 4

Left balanced inequality ratio  P_{1} =  0.289 593

Right balanced inequality ratio  P_{2} =  0.089 095 2

Relative edge distribution entropy  H_{er} =  0.760 117

Power law exponent  γ =  2.581 27

Tail power law exponent  γ_{t} =  1.811 00

Tail power law exponent with p  γ_{3} =  1.811 00

pvalue  p =  0.000 00

Left tail power law exponent with p  γ_{3,1} =  1.421 00

Left pvalue  p_{1} =  0.000 00

Right tail power law exponent with p  γ_{3,2} =  1.881 00

Right pvalue  p_{2} =  0.000 00

Degree assortativity  ρ =  −0.177 727

Degree assortativity pvalue  p_{ρ} =  0.000 00

Spectral norm  α =  27,811.3

Algebraic connectivity  a =  0.878 651

Spectral separation  λ_{1}[A] / λ_{2}[A] =  1.003 32

Controllability  C =  173,085

Relative controllability  C_{r} =  0.988 667

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]

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