Wikipedia dynamic (simple)

This network shows the evolution of hyperlinks between articles of the Simple English Wikipedia. The nodes represent articles. An edge indicates that a hyperlink was added or removed depending on the edge weight (−1 for removal or +1 for addition).


Internal namelink-dynamic-simplewiki
NameWikipedia dynamic (simple)
AvailabilityDataset is available for download
Consistency checkDataset passed all tests
Hyperlink network
Node meaningArticle
Edge meaningReference
Network formatUnipartite, directed
Edge typeDynamic
Temporal data Edges are annotated with timestamps
ReciprocalContains reciprocal edges
Directed cyclesContains directed cycles
LoopsContains loops


Size n =100,312
Volume m =1,627,472
Unique edge count m̿ =746,086
Loop count l =306
Wedge count s =320,147,664
Claw count z =422,387,316,406
Cross count x =834,653,587,495,453
Triangle count t =2,020,060
Square count q =278,060,062
4-Tour count T4 =3,276,402,818
Maximum degree dmax =33,633
Maximum outdegree d+max =16,280
Maximum indegree dmax =17,353
Average degree d =32.448 2
Fill p =7.501 46 × 10−5
Average edge multiplicity m̃ =2.181 35
Size of LCC N =99,636
Size of LSCC Ns =54,524
Relative size of LSCC Nrs =0.543 544
Diameter δ =12
50-Percentile effective diameter δ0.5 =3.274 16
90-Percentile effective diameter δ0.9 =4.660 77
Mean distance δm =3.830 55
Gini coefficient G =0.695 197
Balanced inequality ratio P =0.236 269
Outdegree balanced inequality ratio P+ =0.259 175
Indegree balanced inequality ratio P =0.194 740
Relative edge distribution entropy Her =0.888 087
Power law exponent γ =1.596 15
Tail power law exponent γt =2.301 00
Degree assortativity ρ =−0.070 451 9
Degree assortativity p-value pρ =0.000 00
In/outdegree correlation ρ± =+0.418 469
Clustering coefficient c =0.018 929 3
Directed clustering coefficient c± =0.050 361 1
Spectral norm α =199.284
Operator 2-norm ν =147.945
Cyclic eigenvalue π =65.652 3
Algebraic connectivity a =0.047 159 5
Spectral separation 1[A] / λ2[A]| =1.342 24
Reciprocity y =0.126 581
Non-bipartivity bA =0.260 291
Normalized non-bipartivity bN =0.024 180 5
Spectral bipartite frustration bK =0.000 833 824
Controllability C =49,186
Relative controllability Cr =0.493 197


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

In/outdegree scatter plot

Clustering coefficient distribution

Average neighbor degree distribution

Temporal distribution

Temporal hop distribution

Diameter/density evolution

Signed temporal distribution


Inter-event distribution

Node-level inter-event distribution

Matrix decompositions plots



[1] Jérôme Kunegis. KONECT – The Koblenz Network Collection. In Proc. Int. Conf. on World Wide Web Companion, pages 1343–1350, 2013. [ http ]
[2] Julia Preusse, Jérôme Kunegis, Matthias Thimm, Thomas Gottron, and Steffen Staab. Structural dynamics of knowledge networks. In Proc. Int. Conf. on Weblogs and Soc. Media, 2013.