Prosper groups
This is the bipartite network of Prosper.com users and the groups they support.
Metadata
Statistics
Size  n =  7,595

Left size  n_{1} =  6,582

Right size  n_{2} =  1,013

Volume  m =  21,017

Wedge count  s =  2,663,394

Claw count  z =  410,799,393

Cross count  x =  64,598,135,790

Square count  q =  1,474,982

4Tour count  T_{4} =  22,497,618

Maximum degree  d_{max} =  877

Maximum left degree  d_{1max} =  167

Maximum right degree  d_{2max} =  877

Average degree  d =  5.534 43

Average left degree  d_{1} =  3.193 10

Average right degree  d_{2} =  20.747 3

Fill  p =  0.003 152 12

Size of LCC  N =  7,329

Diameter  δ =  10

50Percentile effective diameter  δ_{0.5} =  3.460 32

90Percentile effective diameter  δ_{0.9} =  4.390 04

Median distance  δ_{M} =  4

Mean distance  δ_{m} =  3.917 49

Gini coefficient  G =  0.737 608

Balanced inequality ratio  P =  0.204 311

Left balanced inequality ratio  P_{1} =  0.274 207

Right balanced inequality ratio  P_{2} =  0.158 348

Relative edge distribution entropy  H_{er} =  0.822 400

Power law exponent  γ =  2.400 92

Tail power law exponent  γ_{t} =  2.111 00

Tail power law exponent with p  γ_{3} =  2.111 00

pvalue  p =  0.661 000

Left tail power law exponent with p  γ_{3,1} =  1.971 00

Left pvalue  p_{1} =  0.000 00

Right tail power law exponent with p  γ_{3,2} =  1.651 00

Right pvalue  p_{2} =  0.001 000 00

Degree assortativity  ρ =  −0.194 926

Degree assortativity pvalue  p_{ρ} =  4.792 53 × 10^{−179}

Spectral norm  α =  51.569 1

Algebraic connectivity  a =  0.116 844

Spectral separation  λ_{1}[A] / λ_{2}[A] =  1.582 95

Controllability  C =  5,836

Relative controllability  C_{r} =  0.768 400

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]

Prosper Marketplace, Inc.
Prosper data export.
http://www.prosper.com/tools/DataExport.aspx, October 2010.
v1.2.6.
