Catster households

Metadata

Code		`PCh`
Internal name		`petster-cat-household`
Name		Catster households
Availability		Dataset is available for download
Consistency check		Dataset passed all tests
Category		Online social network
Network format		Unipartite, undirected
Edge type		Unweighted, no multiple edges
Loops		Does not contain loops

Size	n =	105,138
Volume	m =	494,858
Loop count	l =	0
Wedge count	s =	1,805,021,303
Claw count	z =	18,364,455,897,295
Cross count	x =	162,772,677,444,775,328
Triangle count	t =	2,305,753
Square count	q =	1,295,382,806
4-Tour count	T₄ =	17,584,137,376
Maximum degree	d_max =	37,346
Average degree	d =	9.413 49
Fill	p =	0.000 208 753
Size of LCC	N =	68,315
Diameter	δ =	10
50-Percentile effective diameter	δ_0.5 =	2.101 03
90-Percentile effective diameter	δ_0.9 =	2.926 02
Median distance	δ_M =	3
Mean distance	δ_m =	2.616 64
Gini coefficient	G =	0.729 337
Balanced inequality ratio	P =	0.222 243
Relative edge distribution entropy	H_er =	0.815 099
Power law exponent	γ =	1.617 67
Tail power law exponent	γ_t =	2.271 00
Tail power law exponent with p	γ₃ =	2.271 00
p-value	p =	0.000 00
Degree assortativity	ρ =	−0.133 905
Degree assortativity p-value	p_ρ =	0.000 00
Clustering coefficient	c =	0.003 832 23
Spectral norm	α =	308.337
Algebraic connectivity	a =	0.083 453 2
Spectral separation	\|λ₁[A] / λ₂[A]\| =	1.101 46
Non-bipartivity	b_A =	0.092 113 5
Normalized non-bipartivity	b_N =	0.048 055 4
Algebraic non-bipartivity	χ =	0.083 447 8
Spectral bipartite frustration	b_K =	0.001 440 85
Controllability	C =	32,026
Relative controllability	C_r =	0.465 116