Political books

This is "[a] network of books about US politics published around the time of the 2004 presidential election and sold by the online bookseller Amazon.com. Edges between books represent frequent copurchasing of books by the same buyers. The network was compiled by V. Krebs and is unpublished, but can found on Krebs' web site (http://www.orgnet.com/). Thanks to Valdis Krebs for permission to post these data on this web site."

Metadata

Code		`PB`
Internal name		`dimacs10-polbooks`
Name		Political books
Data source		https://www.cc.gatech.edu/dimacs10/archive/clustering.shtml
Availability		Dataset is available for download
Consistency check		Dataset passed all tests
Category		Miscellaneous network
Dataset timestamp		2004
Node meaning		Book
Edge meaning		Co-purchase
Network format		Unipartite, undirected
Edge type		Unweighted, no multiple edges
Loops		Does not contain loops
Snapshot		Is a snapshot and likely to not contain all data
Join		Is the join of an underlying network
Multiplicity		Does not have multiple edges, but the underlying data has
k-Core		Only nodes with degree larger than a given threshold are included

Statistics

Size	n =	105
Volume	m =	441
Loop count	l =	0
Wedge count	s =	4,822
Claw count	z =	22,689
Cross count	x =	91,898
Triangle count	t =	560
Square count	q =	3,509
4-Tour count	T₄ =	48,242
Maximum degree	d_max =	25
Average degree	d =	8.400 00
Fill	p =	0.080 769 2
Size of LCC	N =	105
Diameter	δ =	7
50-Percentile effective diameter	δ_0.5 =	2.209 39
90-Percentile effective diameter	δ_0.9 =	4.050 49
Median distance	δ_M =	3
Mean distance	δ_m =	2.841 11
Gini coefficient	G =	0.327 978
Balanced inequality ratio	P =	0.375 283
Relative edge distribution entropy	H_er =	0.961 592
Power law exponent	γ =	1.790 96
Tail power law exponent	γ_t =	2.621 00
Tail power law exponent with p	γ₃ =	2.621 00
p-value	p =	0.263 000
Degree assortativity	ρ =	−0.127 896
Degree assortativity p-value	p_ρ =	0.000 139 766
Clustering coefficient	c =	0.348 403
Spectral norm	α =	11.932 6
Algebraic connectivity	a =	0.323 607
Spectral separation	\|λ₁[A] / λ₂[A]\| =	1.026 93
Non-bipartivity	b_A =	0.564 121
Normalized non-bipartivity	b_N =	0.448 155
Algebraic non-bipartivity	χ =	1.276 20
Spectral bipartite frustration	b_K =	0.037 982 1
Controllability	C =	2
Relative controllability	C_r =	0.019 047 6