Jester 100
This weighted network contains information about how users rated a total
ammount of 100 jokes. Not every user rated every joke. Rating values are
continuous values between −10 and +10. An edge shows that a user has rated a
joke. Left nodes are users and right nodes are jokes.
Metadata
Statistics
Size  n =  73,521

Left size  n_{1} =  73,421

Right size  n_{2} =  100

Volume  m =  4,136,360

Wedge count  s =  102,339,759,934

Claw count  z =  1,907,263,353,344,646

Cross count  x =  2.893 18 × 10^{19}

Square count  q =  2,599,984,203,310

4Tour count  T_{4} =  21,209,254,824,380

Maximum degree  d_{max} =  73,413

Maximum left degree  d_{1max} =  100

Maximum right degree  d_{2max} =  73,413

Average degree  d =  112.522

Average left degree  d_{1} =  56.337 6

Average right degree  d_{2} =  41,363.6

Fill  p =  0.563 376

Size of LCC  N =  73,521

Diameter  δ =  4

50Percentile effective diameter  δ_{0.5} =  1.499 62

90Percentile effective diameter  δ_{0.9} =  1.900 42

Median distance  δ_{M} =  2

Mean distance  δ_{m} =  1.999 22

Gini coefficient  G =  0.645 907

Balanced inequality ratio  P =  0.269 422

Left balanced inequality ratio  P_{1} =  0.385 244

Right balanced inequality ratio  P_{2} =  0.404 071

Relative edge distribution entropy  H_{er} =  0.756 826

Power law exponent  γ =  1.849 21

Tail power law exponent  γ_{t} =  2.091 00

Degree assortativity  ρ =  −0.413 704

Degree assortativity pvalue  p_{ρ} =  0.000 00

Spectral norm  α =  3,007.63

Algebraic connectivity  a =  8.924 26

Negativity  ζ =  0.455 631

Algebraic conflict  ξ =  14.999 6

Spectral signed frustration  φ =  0.033 325 9

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]

Ken Goldberg, Theresa Roeder, Dhruv Gupta, and Chris Perkins.
Eigentaste: A constant time collaborative filtering algorithm.
Inf. Retrieval, 4(2):133–151, 2001.
