Twitter tag–item
This is a bipartite network of tag–URL relations in Twitter. Left nodes
represent tags and right nodes represent URLs. An edge shows that an URL was
mentioned together with a given tag in a tweet.
Metadata
Statistics
Size  n =  1,502,611

Left size  n_{1} =  270,582

Right size  n_{2} =  1,232,029

Volume  m =  2,635,885

Unique edge count  m̿ =  1,996,158

Wedge count  s =  4,418,323,415

Claw count  z =  51,877,537,933,158

Square count  q =  70,327,726

4Tour count  T_{4} =  18,239,948,076

Maximum degree  d_{max} =  84,158

Maximum left degree  d_{1max} =  70,377

Maximum right degree  d_{2max} =  84,158

Average degree  d =  3.508 41

Average left degree  d_{1} =  9.741 54

Average right degree  d_{2} =  2.139 47

Fill  p =  5.987 91 × 10^{−6}

Average edge multiplicity  m̃ =  1.320 48

Size of LCC  N =  1,234,934

Diameter  δ =  31

50Percentile effective diameter  δ_{0.5} =  5.383 58

90Percentile effective diameter  δ_{0.9} =  7.672 44

Median distance  δ_{M} =  6

Mean distance  δ_{m} =  5.911 57

Gini coefficient  G =  0.671 119

Balanced inequality ratio  P =  0.244 057

Left balanced inequality ratio  P_{1} =  0.133 490

Right balanced inequality ratio  P_{2} =  0.335 298

Power law exponent  γ =  3.792 46

Tail power law exponent  γ_{t} =  1.941 00

Degree assortativity  ρ =  −0.036 948 5

Degree assortativity pvalue  p_{ρ} =  0.000 00

Spectral norm  α =  23,853.3

Algebraic connectivity  a =  0.000 301 907

Spectral separation  λ_{1}[A] / λ_{2}[A] =  2.926 07

Controllability  C =  1,040,405

Relative controllability  C_{r} =  0.692 398

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]

Munmun De Choudhury, YuRu Lin, Hari Sundaram, K. Selçuk Candan, Lexing Xie,
and Aisling Kelliher.
How does the data sampling strategy impact the discovery of
information diffusion in social media?
In ICWSM, pages 34–41, 2010.
