Wikipedia links (tk)

This network consists of the wikilinks of the Wikipedia in the Turkmen language (tk). 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.

Metadata

CodeWtk
Internal namewikipedia_link_tk
NameWikipedia links (tk)
Data sourcehttp://dumps.wikimedia.org/
AvailabilityDataset is available for download
Consistency checkDataset passed all tests
Category
Hyperlink network
Node meaningArticle
Edge meaningWikilink
Network formatUnipartite, directed
Edge typeUnweighted, no multiple edges
ReciprocalContains reciprocal edges
Directed cyclesContains directed cycles
LoopsDoes not contain loops

Statistics

Size n =6,138
Volume m =167,810
Loop count l =0
Wedge count s =28,571,178
Claw count z =30,384,095,442
Cross count x =21,888,327,800,852
Triangle count t =3,422,565
Square count q =583,622,954
4-Tour count T4 =4,783,483,458
Maximum degree dmax =4,314
Maximum outdegree d+max =2,100
Maximum indegree dmax =2,449
Average degree d =54.679 0
Fill p =0.004 454 87
Size of LCC N =5,894
Size of LSCC Ns =4,353
Relative size of LSCC Nrs =0.709 189
Diameter δ =11
50-Percentile effective diameter δ0.5 =2.903 28
90-Percentile effective diameter δ0.9 =4.532 20
Median distance δM =3
Mean distance δm =3.471 00
Gini coefficient G =0.701 420
Balanced inequality ratio P =0.228 437
Outdegree balanced inequality ratio P+ =0.282 182
Indegree balanced inequality ratio P =0.193 010
Relative edge distribution entropy Her =0.873 856
Power law exponent γ =1.399 80
Tail power law exponent γt =2.071 00
Tail power law exponent with p γ3 =2.071 00
p-value p =0.000 00
Outdegree tail power law exponent with p γ3,o =2.081 00
Outdegree p-value po =0.000 00
Indegree tail power law exponent with p γ3,i =1.891 00
Indegree p-value pi =0.000 00
Degree assortativity ρ =−0.139 055
Degree assortativity p-value pρ =0.000 00
In/outdegree correlation ρ± =+0.800 254
Clustering coefficient c =0.359 372
Directed clustering coefficient c± =0.756 906
Spectral norm α =508.002
Operator 2-norm ν =254.001
Cyclic eigenvalue π =254.000
Algebraic connectivity a =0.080 697 1
Spectral separation 1[A] / λ2[A]| =3.183 57
Reciprocity y =0.718 110
Non-bipartivity bA =0.743 530
Normalized non-bipartivity bN =0.046 335 5
Algebraic non-bipartivity χ =0.085 462 6
Spectral bipartite frustration bK =0.000 586 202
Controllability C =1,425
Relative controllability Cr =0.232 160

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

In/outdegree scatter plot

Clustering coefficient distribution

Average neighbor degree distribution

SynGraphy

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 ]