Amazon (TWEB, 0601)

This is the network of items on Amazon that have been mentioned by Amazon's "People who bought X also bought Y" function. Nodes in the network are products, and a directed edge from A to B denotes that product A is frequently co-purchased with product B

Metadata

CodeAm
Internal nameamazon0601
NameAmazon (TWEB, 0601)
Data sourcehttp://snap.stanford.edu/data/amazonDATE.html
AvailabilityDataset is available for download
Consistency checkDataset passed all tests
Category
Miscellaneous network
Node meaningProduct
Edge meaningCo-purchase
Network formatUnipartite, directed
Edge typeUnweighted, no multiple edges
ReciprocalContains reciprocal edges
Directed cyclesContains directed cycles
LoopsDoes not contain loops

Statistics

Size n =403,394
Volume m =3,387,388
Loop count l =0
Wedge count s =72,209,687
Claw count z =12,017,835,784
Cross count x =5,733,485,265,257
Triangle count t =3,986,507
Square count q =35,661,461
4-Tour count T4 =579,017,252
Maximum degree dmax =2,761
Maximum outdegree d+max =10
Maximum indegree dmax =2,751
Average degree d =16.794 4
Fill p =2.081 65 × 10−5
Size of LCC N =403,364
Size of LSCC Ns =395,234
Relative size of LSCC Nrs =0.979 772
Diameter δ =25
50-Percentile effective diameter δ0.5 =5.827 57
90-Percentile effective diameter δ0.9 =7.432 42
Mean distance δm =6.364 93
Gini coefficient G =0.331 309
Balanced inequality ratio P =0.385 962
Outdegree balanced inequality ratio P+ =0.453 496
Indegree balanced inequality ratio P =0.307 625
Relative edge distribution entropy Her =0.982 804
Power law exponent γ =1.447 39
Tail power law exponent γt =3.151 00
Degree assortativity ρ =−0.017 647 3
Degree assortativity p-value pρ =0.000 00
In/outdegree correlation ρ± =+0.527 578
Clustering coefficient c =0.165 622
Spectral norm α =58.957 8
Operator 2-norm ν =55.621 4
Cyclic eigenvalue π =10.000 0
Algebraic connectivity a =0.005 446 60
Spectral separation 1[A] / λ2[A]| =1.089 28
Reciprocity y =0.557 350
Non-bipartivity bA =0.081 961 5
Normalized non-bipartivity bN =0.035 629 1
Spectral bipartite frustration bK =0.001 310 62

Plots

Degree distribution

Cumulative degree distribution

Lorenz curve

Spectral distribution of the adjacency matrix

Spectral distribution of the normalized adjacency matrix

Spectral distribution of the Laplacian

Spectral graph drawing based on the adjacency matrix

Spectral graph drawing based on the Laplacian

Spectral graph drawing based on the normalized adjacency matrix

Hop distribution

In/outdegree scatter plot

Clustering coefficient distribution

SynGraphy

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] Jure Leskovec, Lada A. Adamic, and Bernardo A. Huberman. The dynamics of viral marketing. ACM Trans. on the Web, 1(1), 2007.