Amazon (TWEB, 0312)
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 = | 400,727
|
| Volume | m = | 3,200,440
|
| Wedge count | s = | 68,910,455
|
| Claw count | z = | 11,384,145,457
|
| Cross count | x = | 5,194,846,371,818
|
| Triangle count | t = | 3,686,467
|
| Square count | q = | 32,229,022
|
| 4-Tour count | T4 = | 538,173,734
|
| Maximum degree | dmax = | 2,757
|
| Maximum outdegree | d+max = | 10
|
| Maximum indegree | d−max = | 2,747
|
| Average degree | d = | 15.973 2
|
| Size of LCC | N = | 400,727
|
| Size of LSCC | Ns = | 380,167
|
| Relative size of LSCC | Nrs = | 0.948 693
|
| Diameter | δ = | 20
|
| 50-Percentile effective diameter | δ0.5 = | 5.923 42
|
| 90-Percentile effective diameter | δ0.9 = | 7.694 74
|
| Median distance | δM = | 6
|
| Mean distance | δm = | 6.485 28
|
| Gini coefficient | G = | 0.339 932
|
| Balanced inequality ratio | P = | 0.381 034
|
| Outdegree balanced inequality ratio | P+ = | 0.447 854
|
| Indegree balanced inequality ratio | P− = | 0.301 316
|
| Power law exponent | γ = | 1.457 51
|
| Tail power law exponent | γt = | 3.141 00
|
| Tail power law exponent with p | γ3 = | 3.141 00
|
| p-value | p = | 0.021 000 0
|
| Outdegree tail power law exponent with p | γ3,o = | 1.851 00
|
| Outdegree p-value | po = | 0.000 00
|
| Indegree tail power law exponent with p | γ3,i = | 3.041 00
|
| Indegree p-value | pi = | 0.086 000 0
|
| Degree assortativity | ρ = | −0.020 251 1
|
| Degree assortativity p-value | pρ = | 0.000 00
|
| Clustering coefficient | c = | 0.160 489
|
| Directed clustering coefficient | c± = | 0.387 446
|
| Spectral norm | α = | 57.466 9
|
| Operator 2-norm | ν = | 54.945 9
|
| Cyclic eigenvalue | π = | 10.000 0
|
| Algebraic connectivity | a = | 0.021 646 5
|
| Spectral separation | |λ1[A] / λ2[A]| = | 1.071 63
|
| Reciprocity | y = | 0.531 534
|
| Non-bipartivity | bA = | 0.066 845 6
|
| Normalized non-bipartivity | bN = | 0.036 611 5
|
| Algebraic non-bipartivity | χ = | 0.063 564 7
|
| Spectral bipartite frustration | bK = | 0.001 354 97
|
| Controllability | C = | 28,085
|
| Relative controllability | Cr = | 0.070 085 1
|
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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