BibSonomy user–item
This is the bipartite user–publication network from BibSonomy. Each edge
represents a tag assignment. The network allows multiple edge, i.e., a user
may give multiple tags to a single publication. The network is complete as it
is taken from the official BibSonomy dump.
Metadata
Statistics
Size  n =  773,241

Left size  n_{1} =  5,794

Right size  n_{2} =  767,447

Volume  m =  2,555,080

Unique edge count  m̿ =  801,784

Wedge count  s =  12,835,279,754

Claw count  z =  394,424,715,096,067

Cross count  x =  1.037 59 × 10^{19}

Square count  q =  2,794,766

4Tour count  T_{4} =  51,365,102,888

Maximum degree  d_{max} =  428,436

Maximum left degree  d_{1max} =  428,436

Maximum right degree  d_{2max} =  341

Average degree  d =  6.608 75

Average left degree  d_{1} =  440.987

Average right degree  d_{2} =  3.329 32

Fill  p =  0.000 180 314

Average edge multiplicity  m̃ =  3.186 74

Size of LCC  N =  349,470

Diameter  δ =  16

50Percentile effective diameter  δ_{0.5} =  3.763 18

90Percentile effective diameter  δ_{0.9} =  5.788 28

Median distance  δ_{M} =  4

Mean distance  δ_{m} =  4.698 34

Gini coefficient  G =  0.730 014

Balanced inequality ratio  P =  0.222 665

Left balanced inequality ratio  P_{1} =  0.080 483 2

Right balanced inequality ratio  P_{2} =  0.324 171

Relative edge distribution entropy  H_{er} =  0.738 449

Power law exponent  γ =  29.250 6

Tail power law exponent  γ_{t} =  4.691 00

Tail power law exponent with p  γ_{3} =  4.691 00

pvalue  p =  0.000 00

Left tail power law exponent with p  γ_{3,1} =  1.431 00

Left pvalue  p_{1} =  0.000 00

Right tail power law exponent with p  γ_{3,2} =  5.281 00

Right pvalue  p_{2} =  0.000 00

Degree assortativity  ρ =  −0.087 479 1

Degree assortativity pvalue  p_{ρ} =  0.000 00

Spectral norm  α =  1,767.75

Algebraic connectivity  a =  0.001 069 24

Spectral separation  λ_{1}[A] / λ_{2}[A] =  1.621 81

Controllability  C =  761,785

Relative controllability  C_{r} =  0.985 184

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]

Dominik Benz, Andreas Hotho, Robert Jäschke, Beate Krause, Folke Mitzlaff,
Christoph Schmitz, and Gerd Stumme.
The social bookmark and publication management system BibSonomy.
The VLDB J., 19(6):849–875, dec 2010.
