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
Statistics
| Size | n = | 403,394
|
| Volume | m = | 3,387,388
|
| 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 | d−max = | 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
|
| Median distance | δM = | 6
|
| 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
|
| Tail power law exponent with p | γ3 = | 3.151 00
|
| p-value | p = | 0.346 000
|
| Outdegree tail power law exponent with p | γ3,o = | 1.611 00
|
| Outdegree p-value | po = | 0.000 00
|
| Indegree tail power law exponent with p | γ3,i = | 3.041 00
|
| Indegree p-value | pi = | 0.894 000
|
| 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
|
| Directed clustering coefficient | c± = | 0.380 365
|
| Spectral norm | α = | 58.957 8
|
| Operator 2-norm | ν = | 55.621 4
|
| Algebraic connectivity | a = | 0.005 446 60
|
| Spectral separation | |λ1[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
|
| Algebraic non-bipartivity | χ = | 0.063 510 7
|
| Spectral bipartite frustration | bK = | 0.001 310 62
|
| Controllability | C = | 19,629
|
| Relative controllability | Cr = | 0.048 659 6
|
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]
|
Jure Leskovec, Lada A. Adamic, and Bernardo A. Huberman.
The dynamics of viral marketing.
ACM Trans. on the Web, 1(1), 2007.
|
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