Epinions
This is the trust and distrust network of Epinions, an online product rating
site. The network consist of individual users connected by directed trust and
distrust links. Edges have the weight +1 for trust and −1 for distrust. Note
that a user can trust or distrust himself, and therefore the network contains
loops.
Metadata
Statistics
Size  n =  131,828

Volume  m =  841,372

Loop count  l =  573

Wedge count  s =  182,193,467

Cross count  x =  31,252,929,210,362

Triangle count  t =  4,910,076

Square count  q =  715,390,258

4Tour count  T_{4} =  6,453,318,352

Maximum degree  d_{max} =  3,622

Maximum outdegree  d^{+}_{max} =  2,070

Maximum indegree  d^{−}_{max} =  3,478

Average degree  d =  12.764 7

Fill  p =  4.841 42 × 10^{−5}

Size of LCC  N =  119,130

Diameter  δ =  16

50Percentile effective diameter  δ_{0.5} =  3.574 21

90Percentile effective diameter  δ_{0.9} =  4.771 62

Median distance  δ_{M} =  4

Mean distance  δ_{m} =  4.109 14

Balanced inequality ratio  P =  0.144 853

Outdegree balanced inequality ratio  P_{+} =  0.159 785

Indegree balanced inequality ratio  P_{−} =  0.169 681

Degree assortativity  ρ =  −0.069 571 4

Degree assortativity pvalue  p_{ρ} =  0.000 00

Clustering coefficient  c =  0.080 849 4

Spectral norm  α =  310.179

Operator 2norm  ν =  167.764

Cyclic eigenvalue  π =  143.123

Algebraic connectivity  a =  0.002 810 82

Spectral separation  λ_{1}[A] / λ_{2}[A] =  1.138 86

Reciprocity  y =  0.308 723

Nonbipartivity  b_{A} =  0.755 904

Spectral bipartite frustration  b_{K} =  0.000 656 904

Negativity  ζ =  0.147 028

Algebraic conflict  ξ =  0.031 081 6

Triadic conflict  τ =  0.095 043 7

Spectral signed frustration  φ =  0.000 659 724

Controllability  C =  79,193

Relative controllability  C_{r} =  0.600 730

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]

Paolo Massa and Paolo Avesani.
Controversial users demand local trust metrics: an experimental study
on epinions.com community.
In Proc. American Association for Artif. Intell. Conf., pages
121–126, 2005.
