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KONECT > Networks > Amazon (MDS)

Amazon (MDS)

About this network

This is the co-purchase network of Amazon based on the "customers who bought this also bought" feature. Nodes are products and an undirected edge between two nodes shows that the corresponding products have been frequently bought together.

Network info

CodeCA
Category Misc
Data source http://snap.stanford.edu/data/com-Amazon.html
Vertex type Product
Edge type Co-purchase
FormatUndirected: Edges are undirected Undirected
Edge weightsUnweighted: Simple edges Unweighted
Size334,863 vertices (products)
Volume925,872 edges (co-purchases)
Average degree5.5299 edges / vertex
Fill1.6514 × 10–5 edges / vertex2
Maximum degree549 edges
Size of LCC334,863 vertices (network is connected)
Wedge count9,752,186
Claw count142,823,893
Triangle count667,129
Square count3,125,323
4-tour count65,863,072
Power law exponent (estimated) with dmin3.5810 (dmin = 22)
Gini coefficient38.6%
Relative edge distribution entropy97.7%
Assortativity–0.058820
Clustering coefficient20.5%
Diameter47 edges
90-percentile effective diameter14.85 edges
Mean shortest path length11.73 edges
Spectral norm23.976
Degree distribution of the Amazon (MDS) network
Degree distribution
Degree distribution of the Amazon (MDS) network
Degree distribution
Clustering coefficient distribution of the Amazon (MDS) network
Clustering coefficient distribution
Distance distribution of the Amazon (MDS) network
Distance distribution
Distance distribution on a logistic scale of the Amazon (MDS) network
Distance distribution on a logistic scale
Top-k eigenvalues of A of the Amazon (MDS) network
Top-k eigenvalues of A
Spectral distribution of the eigenvalues of A of the Amazon (MDS) network
Spectral distribution of the eigenvalues of A
Spectral distribution of the eigenvalues of N of the Amazon (MDS) network
Spectral distribution of the eigenvalues of N
Spectral distribution of the eigenvalues of L of the Amazon (MDS) network
Spectral distribution of the eigenvalues of L
Cumulative spectral distribution of A of the Amazon (MDS) network
Cumulative spectral distribution of A
Cumulative spectral distribution of N of the Amazon (MDS) network
Cumulative spectral distribution of N
Cumulative spectral distribution of L of the Amazon (MDS) network
Cumulative spectral distribution of L

Downloads

TSV file:downloadcom-amazon.tar.bz2 (3.74 MiB)
Extraction code:downloadsnap.tar.bz2 (20.04 KiB)

References

[1] Amazon (mds) network dataset -- KONECT, October 2016. [ http ]
[2] Jaewon Yang and Jure Leskovec. Defining and evaluating network communities based on ground-truth. In Proc. ACM SIGKDD Workshop on Mining Data Semantics, page 3. ACM, 2012.

BibTeX