BibSonomy tag–item
This is the bipartite tag–publication network from BibSonomy. The network
allows multiple edge, i.e., publications can be tagged multiple times with the
same tag. The network is complete as it is taken from the official BibSonomy
dump.
Metadata
Statistics
Size  n =  972,120

Left size  n_{1} =  204,673

Right size  n_{2} =  767,447

Volume  m =  2,555,080

Unique edge count  m̿ =  2,499,057

Wedge count  s =  19,526,902,897

Claw count  z =  1,043,988,925,479,286

Cross count  x =  4.672 67 × 10^{19}

Square count  q =  636,346,469

4Tour count  T_{4} =  83,203,483,378

Maximum degree  d_{max} =  182,908

Maximum left degree  d_{1max} =  182,908

Maximum right degree  d_{2max} =  341

Average degree  d =  5.256 72

Average left degree  d_{1} =  12.483 7

Average right degree  d_{2} =  3.329 32

Fill  p =  1.590 99 × 10^{−5}

Average edge multiplicity  m̃ =  1.022 42

Size of LCC  N =  937,063

Diameter  δ =  22

50Percentile effective diameter  δ_{0.5} =  5.174 78

90Percentile effective diameter  δ_{0.9} =  6.948 13

Median distance  δ_{M} =  6

Mean distance  δ_{m} =  5.540 73

Gini coefficient  G =  0.666 800

Balanced inequality ratio  P =  0.251 730

Left balanced inequality ratio  P_{1} =  0.134 076

Right balanced inequality ratio  P_{2} =  0.324 171

Relative edge distribution entropy  H_{er} =  0.857 427

Power law exponent  γ =  2.209 99

Tail power law exponent  γ_{t} =  2.051 00

Tail power law exponent with p  γ_{3} =  2.051 00

pvalue  p =  0.000 00

Left tail power law exponent with p  γ_{3,1} =  1.791 00

Left pvalue  p_{1} =  0.000 00

Right tail power law exponent with p  γ_{3,2} =  3.921 00

Right pvalue  p_{2} =  0.000 00

Degree assortativity  ρ =  −0.185 572

Degree assortativity pvalue  p_{ρ} =  0.000 00

Spectral norm  α =  430.870

Algebraic connectivity  a =  0.000 207 657

Spectral separation  λ_{1}[A] / λ_{2}[A] =  1.656 96

Controllability  C =  667,469

Relative controllability  C_{r} =  0.686 612

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.
