UC Irvine forum

This bipartite network contains user posts to forums. The users are students at the University of California, Irvine. An edge represents a forum message.

Metadata

Code		`UF`
Internal name		`opsahl-ucforum`
Name		UC Irvine forum
Data source		http://toreopsahl.com/datasets/#online_forum_network
Availability		Dataset is available for download
Consistency check		Dataset passed all tests
Category		Interaction network
Node meaning		User, forum
Edge meaning		Post
Network format		Bipartite, undirected
Edge type		Unweighted, multiple edges
Temporal data		Edges are annotated with timestamps

Statistics

Size	n =	1,421
Left size	n₁ =	899
Right size	n₂ =	522
Volume	m =	33,720
Unique edge count	m̿ =	7,089
Wedge count	s =	174,069
Claw count	z =	2,807,597
Cross count	x =	50,117,282
Square count	q =	76,095
4-Tour count	T₄ =	1,322,222
Maximum degree	d_max =	1,792
Maximum left degree	d_1max =	1,792
Maximum right degree	d_2max =	942
Average degree	d =	47.459 5
Average left degree	d₁ =	37.508 3
Average right degree	d₂ =	64.597 7
Fill	p =	0.015 106 2
Average edge multiplicity	m̃ =	4.756 67
Size of LCC	N =	1,417
Diameter	δ =	8
50-Percentile effective diameter	δ_0.5 =	3.126 95
90-Percentile effective diameter	δ_0.9 =	4.402 38
Median distance	δ_M =	4
Mean distance	δ_m =	3.605 28
Gini coefficient	G =	0.681 900
Balanced inequality ratio	P =	0.242 067
Left balanced inequality ratio	P₁ =	0.209 342
Right balanced inequality ratio	P₂ =	0.264 116
Relative edge distribution entropy	H_er =	0.926 953
Power law exponent	γ =	1.584 63
Tail power law exponent	γ_t =	3.301 00
Tail power law exponent with p	γ₃ =	3.301 00
p-value	p =	0.393 000
Left tail power law exponent with p	γ_3,1 =	3.851 00
Left p-value	p₁ =	0.923 000
Right tail power law exponent with p	γ_3,2 =	3.031 00
Right p-value	p₂ =	0.229 000
Degree assortativity	ρ =	−0.092 975 0
Degree assortativity p-value	p_ρ =	4.372 55 × 10⁻¹⁵
Spectral norm	α =	370.755
Algebraic connectivity	a =	0.375 203
Spectral separation	\|λ₁[A] / λ₂[A]\| =	1.583 30
Controllability	C =	387
Relative controllability	C_r =	0.272 343

Plots

Fruchterman–Reingold graph drawing

Degree distribution

Cumulative degree distribution

Lorenz curve

Spectral distribution of the adjacency matrix

Spectral distribution of the normalized adjacency matrix

Spectral distribution of the Laplacian

Spectral graph drawing based on the adjacency matrix

Spectral graph drawing based on the Laplacian

Spectral graph drawing based on the normalized adjacency matrix

Degree assortativity

Zipf plot

Hop distribution

Double Laplacian graph drawing

Delaunay graph drawing

Edge weight/multiplicity distribution

Temporal distribution

Temporal hop distribution

Diameter/density evolution

Inter-event distribution

Node-level inter-event distribution

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]	Tore Opsahl and Pietro Panzarasa. Triadic closure in two-mode networks: Redefining the global and local clustering coefficients. Soc. Netw., 34, 2011.