Amazon (TWEB, 0302)
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 = | 262,111
|
| Volume | m = | 1,234,877
|
| Wedge count | s = | 9,120,350
|
| Claw count | z = | 179,870,447
|
| Cross count | x = | 7,684,700,994
|
| Triangle count | t = | 717,719
|
| 4-Tour count | T4 = | 58,097,680
|
| Maximum degree | dmax = | 425
|
| Maximum outdegree | d+max = | 5
|
| Maximum indegree | d−max = | 420
|
| Average degree | d = | 9.422 55
|
| Size of LCC | N = | 262,111
|
| Size of LSCC | Ns = | 241,761
|
| Relative size of LSCC | Nrs = | 0.922 361
|
| Diameter | δ = | 38
|
| 50-Percentile effective diameter | δ0.5 = | 8.062 96
|
| 90-Percentile effective diameter | δ0.9 = | 10.312 3
|
| Median distance | δM = | 9
|
| Mean distance | δm = | 8.607 23
|
| Gini coefficient | G = | 0.244 370
|
| Balanced inequality ratio | P = | 0.412 963
|
| Outdegree balanced inequality ratio | P+ = | 0.488 977
|
| Indegree balanced inequality ratio | P− = | 0.338 093
|
| Relative edge distribution entropy | Her = | 0.990 128
|
| Power law exponent | γ = | 1.558 15
|
| Tail power law exponent | γt = | 3.681 00
|
| Tail power law exponent with p | γ3 = | 3.681 00
|
| p-value | p = | 0.000 00
|
| Outdegree tail power law exponent with p | γ3,o = | 4.061 00
|
| Outdegree p-value | po = | 0.000 00
|
| Indegree tail power law exponent with p | γ3,i = | 3.381 00
|
| Indegree p-value | pi = | 0.971 000
|
| Degree assortativity | ρ = | −0.002 479 34
|
| Degree assortativity p-value | pρ = | 0.000 881 004
|
| In/outdegree correlation | ρ± = | +0.246 615
|
| Clustering coefficient | c = | 0.236 083
|
| Spectral norm | α = | 24.642 3
|
| Operator 2-norm | ν = | 21.218 1
|
| Cyclic eigenvalue | π = | 5.000 00
|
| Algebraic connectivity | a = | 0.002 533 67
|
| Reciprocity | y = | 0.542 702
|
| Non-bipartivity | bA = | 0.185 757
|
| Normalized non-bipartivity | bN = | 0.038 117 4
|
| Spectral bipartite frustration | bK = | 0.002 439 56
|
| Controllability | C = | 19,530
|
| Relative controllability | Cr = | 0.074 510 4
|
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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