Discogs label–style
Discogs (short for "discographies") is a large online music database that
provides information about audio records including information about artists,
labels and release details. Each edge of this bipartite network connects a
label and a style. An edge indicates that the label was involved in the
production of a release of the style. Releases can have multiple styles. The
left nodes represent labels and the right nodes represent styles.
Metadata
Statistics
Size  n =  244,147

Left size  n_{1} =  243,764

Right size  n_{2} =  383

Volume  m =  5,255,950

Unique edge count  m̿ =  1,064,853

Wedge count  s =  5,820,293,288

Claw count  z =  36,106,246,831,981

Cross count  x =  211,425,343,527,647,648

Square count  q =  5,232,874,697

4Tour count  T_{4} =  65,147,206,418

Maximum degree  d_{max} =  285,519

Maximum left degree  d_{1max} =  98,683

Maximum right degree  d_{2max} =  285,519

Average degree  d =  43.055 6

Average left degree  d_{1} =  21.561 6

Average right degree  d_{2} =  13,723.1

Fill  p =  0.011 405 7

Average edge multiplicity  m̃ =  4.935 85

Size of LCC  N =  244,147

Diameter  δ =  7

50Percentile effective diameter  δ_{0.5} =  3.418 84

90Percentile effective diameter  δ_{0.9} =  3.883 80

Mean distance  δ_{m} =  3.723 83

Gini coefficient  G =  0.921 496

Balanced inequality ratio  P =  0.100 002

Left balanced inequality ratio  P_{1} =  0.150 738

Right balanced inequality ratio  P_{2} =  0.196 689

Relative edge distribution entropy  H_{er} =  0.733 028

Power law exponent  γ =  2.037 57

Tail power law exponent  γ_{t} =  2.461 00

Degree assortativity  ρ =  −0.180 548

Degree assortativity pvalue  p_{ρ} =  0.000 00

Spectral norm  α =  27,460.8

Algebraic connectivity  a =  0.585 786

Spectral separation  λ_{1}[A] / λ_{2}[A] =  2.116 92

Controllability  C =  243,381

Relative controllability  C_{r} =  0.996 863

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 ]
