BibSonomy user–tag
This is the bipartite user–tag network from BibSonomy. Each edge represents a
tag assignment. The network allows multiple edge as users may use a tag for
multiple documents. The network is complete as it is taken from the official
BibSonomy dump.
Metadata
Statistics
Size  n =  210,467

Left size  n_{1} =  5,794

Right size  n_{2} =  204,673

Volume  m =  2,555,080

Unique edge count  m̿ =  453,987

Wedge count  s =  991,843,705

Claw count  z =  4,596,638,282,952

Cross count  x =  19,818,609,712,155,388

Square count  q =  305,062,057

4Tour count  T_{4} =  6,409,052,574

Maximum degree  d_{max} =  428,436

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

Maximum right degree  d_{2max} =  182,908

Average degree  d =  24.280 1

Average left degree  d_{1} =  440.987

Average right degree  d_{2} =  12.483 7

Fill  p =  0.000 382 829

Average edge multiplicity  m̃ =  5.628 09

Size of LCC  N =  209,357

Diameter  δ =  12

50Percentile effective diameter  δ_{0.5} =  3.517 73

90Percentile effective diameter  δ_{0.9} =  4.011 15

Median distance  δ_{M} =  4

Mean distance  δ_{m} =  4.051 36

Gini coefficient  G =  0.926 128

Balanced inequality ratio  P =  0.089 785 8

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

Right balanced inequality ratio  P_{2} =  0.134 076

Relative edge distribution entropy  H_{er} =  0.772 367

Power law exponent  γ =  3.674 91

Tail power law exponent  γ_{t} =  1.961 00

Tail power law exponent with p  γ_{3} =  1.961 00

pvalue  p =  0.271 000

Left tail power law exponent with p  γ_{3,1} =  1.681 00

Left pvalue  p_{1} =  0.000 00

Right tail power law exponent with p  γ_{3,2} =  2.201 00

Right pvalue  p_{2} =  0.000 00

Degree assortativity  ρ =  −0.152 058

Degree assortativity pvalue  p_{ρ} =  0.000 00

Spectral norm  α =  62,391.4

Algebraic connectivity  a =  0.016 601 9

Spectral separation  λ_{1}[A] / λ_{2}[A] =  1.105 36

Controllability  C =  199,969

Relative controllability  C_{r} =  0.950 120

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.
