Discogs artist–genre
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 an
artist and a genre. An edge indicates that the artist was involved in the
production of a release of this genre. The left nodes represent artists and the
right nodes represent genres.
Metadata
Statistics
Size  n =  1,754,838

Left size  n_{1} =  1,754,823

Right size  n_{2} =  15

Volume  m =  19,033,891

Unique edge count  m̿ =  3,142,059

Wedge count  s =  713,800,298,659

Claw count  z =  151,287,735,212,950,336

Cross count  x =  2.700 85 × 10^{22}

Square count  q =  111,241,556,929

4Tour count  T_{4} =  3,745,144,849,158

Maximum degree  d_{max} =  5,837,587

Maximum left degree  d_{1max} =  392,118

Maximum right degree  d_{2max} =  5,837,587

Average degree  d =  21.693 0

Average left degree  d_{1} =  10.846 6

Average right degree  d_{2} =  1.268 93 × 10^{6}

Fill  p =  0.119 369

Average edge multiplicity  m̃ =  6.057 78

Size of LCC  N =  1,754,837

Diameter  δ =  4

50Percentile effective diameter  δ_{0.5} =  3.186 26

90Percentile effective diameter  δ_{0.9} =  3.837 25

Median distance  δ_{M} =  4

Mean distance  δ_{m} =  3.228 90

Gini coefficient  G =  0.892 468

Balanced inequality ratio  P =  0.118 928

Left balanced inequality ratio  P_{1} =  0.182 595

Right balanced inequality ratio  P_{2} =  0.258 492

Relative edge distribution entropy  H_{er} =  0.618 216

Power law exponent  γ =  3.536 90

Tail power law exponent  γ_{t} =  3.361 00

Tail power law exponent with p  γ_{3} =  3.361 00

pvalue  p =  0.000 00

Left tail power law exponent with p  γ_{3,1} =  3.361 00

Left pvalue  p_{1} =  0.000 00

Right tail power law exponent with p  γ_{3,2} =  6.771 00

Right pvalue  p_{2} =  0.000 00

Degree assortativity  ρ =  −0.284 127

Degree assortativity pvalue  p_{ρ} =  0.000 00

Spectral norm  α =  221,106

Algebraic connectivity  a =  0.846 666

Spectral separation  λ_{1}[A] / λ_{2}[A] =  4.534 39

Controllability  C =  1,754,808

Relative controllability  C_{r} =  0.999 983

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 ]
