Jazz musicians
This is the collaboration network between Jazz musicians. Each node is a Jazz
musician and an edge denotes that two musicians have played together in a band.
The data was collected in 2003.
Metadata
Statistics
Size  n =  198

Volume  m =  2,742

Loop count  l =  0

Wedge count  s =  103,212

Claw count  z =  1,583,352

Cross count  x =  21,666,963

Triangle count  t =  17,899

Square count  q =  406,441

4Tour count  T_{4} =  3,669,860

Maximum degree  d_{max} =  100

Average degree  d =  27.697 0

Fill  p =  0.140 594

Size of LCC  N =  198

Diameter  δ =  6

50Percentile effective diameter  δ_{0.5} =  1.647 00

90Percentile effective diameter  δ_{0.9} =  2.793 55

Median distance  δ_{M} =  2

Mean distance  δ_{m} =  2.206 04

Gini coefficient  G =  0.345 989

Balanced inequality ratio  P =  0.373 450

Relative edge distribution entropy  H_{er} =  0.961 549

Power law exponent  γ =  1.329 28

Tail power law exponent  γ_{t} =  5.271 00

Tail power law exponent with p  γ_{3} =  5.271 00

pvalue  p =  0.624 000

Degree assortativity  ρ =  +0.020 237 4

Degree assortativity pvalue  p_{ρ} =  0.134 010

Clustering coefficient  c =  0.520 259

Spectral norm  α =  40.027 4

Algebraic connectivity  a =  0.571 994

Spectral separation  λ_{1}[A] / λ_{2}[A] =  1.461 22

Nonbipartivity  b_{A} =  0.782 583

Normalized nonbipartivity  b_{N} =  0.460 437

Algebraic nonbipartivity  χ =  0.692 773

Spectral bipartite frustration  b_{K} =  0.006 253 14

Controllability  C =  1

Relative controllability  C_{r} =  0.005 050 51

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]

Pablo M. Gleiser and Leon Danon.
Community structure in jazz.
Advances in Complex Systems, 6(4):565–573, 2003.
