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

Claw count  z =  78,294,267,861

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

Size of LSCC  N_{s} =  41,441

Relative size of LSCC  N^{r}_{s} =  0.314 357

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

Gini coefficient  G =  0.835 782

Balanced inequality ratio  P =  0.144 853

Outdegree balanced inequality ratio  P_{+} =  0.159 785

Indegree balanced inequality ratio  P_{−} =  0.169 681

Relative edge distribution entropy  H_{er} =  0.830 630

Power law exponent  γ =  2.128 76

Tail power law exponent  γ_{t} =  1.741 00

Degree assortativity  ρ =  −0.069 571 4

Degree assortativity pvalue  p_{ρ} =  0.000 00

In/outdegree correlation  ρ^{±} =  +0.644 512

Clustering coefficient  c =  0.080 849 4

Directed clustering coefficient  c^{±} =  0.114 688

Spectral norm  α =  87.200 1

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] =  1.270 22

Reciprocity  y =  0.308 723

Nonbipartivity  b_{A} =  0.755 904

Normalized nonbipartivity  b_{N} =  0.017 168 2

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

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.
