Wikipedia links (ia)

This network consists of the wikilinks of the Wikipedia in the Interlingua language (ia). Nodes are Wikipedia articles, and directed edges are wikilinks, i.e., hyperlinks within one wiki. In the wiki source, these are indicated with [[double brackets]]. Only pages in the article namespace are included.


Internal namewikipedia_link_ia
NameWikipedia links (ia)
Data source
AvailabilityDataset is available for download
Consistency checkDataset passed all tests
Hyperlink network
Node meaningArticle
Edge meaningWikilink
Network formatUnipartite, directed
Edge typeUnweighted, no multiple edges
ReciprocalContains reciprocal edges
Directed cyclesContains directed cycles
LoopsContains loops


Size n =24,031
Volume m =2,204,006
Loop count l =2
Wedge count s =461,285,889
Claw count z =468,411,759,954
Cross count x =254,342,384,969,192
Triangle count t =123,483,506
Square count q =34,671,343,011
4-Tour count T4 =277,557,360,564
Maximum degree dmax =6,620
Maximum outdegree d+max =625
Maximum indegree dmax =6,583
Average degree d =183.430
Fill p =0.003 899 86
Size of LCC N =23,988
Size of LSCC Ns =14,504
Relative size of LSCC Nrs =0.611 261
Diameter δ =11
50-Percentile effective diameter δ0.5 =3.011 27
90-Percentile effective diameter δ0.9 =4.391 10
Median distance δM =4
Mean distance δm =3.529 74
Gini coefficient G =0.725 791
Balanced inequality ratio P =0.213 892
Outdegree balanced inequality ratio P+ =0.219 561
Indegree balanced inequality ratio P =0.261 885
Relative edge distribution entropy Her =0.896 079
Power law exponent γ =1.351 98
Tail power law exponent γt =1.371 00
Degree assortativity ρ =+0.021 988 8
Degree assortativity p-value pρ =6.456 36 × 10−256
In/outdegree correlation ρ± =+0.891 555
Clustering coefficient c =0.803 082
Directed clustering coefficient c± =0.988 808
Spectral norm α =1,065.43
Operator 2-norm ν =541.978
Cyclic eigenvalue π =524.019
Algebraic connectivity a =0.110 829
Reciprocity y =0.900 374
Non-bipartivity bA =0.943 858
Normalized non-bipartivity bN =0.073 662 1
Spectral bipartite frustration bK =0.000 290 640
Controllability C =8,238
Relative controllability Cr =0.347 185


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

Delaunay graph drawing

In/outdegree scatter plot

Clustering coefficient distribution

Average neighbor degree 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 ]