Wikipedia links (sah)

This network consists of the wikilinks of the Wikipedia in the Sakha language (sah). 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

CodeWsah
Internal namewikipedia_link_sah
NameWikipedia links (sah)
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
LoopsContains loops

Statistics

Size n =15,531
Volume m =352,209
Loop count l =201
Wedge count s =50,102,432
Claw count z =34,577,172,448
Cross count x =6,279,632,905,697
Triangle count t =12,481,439
Square count q =3,101,109,068
4-Tour count T4 =25,009,738,572
Maximum degree dmax =1,469
Maximum outdegree d+max =462
Maximum indegree dmax =1,460
Average degree d =45.355 6
Fill p =0.001 460 16
Size of LCC N =15,352
Size of LSCC Ns =9,150
Relative size of LSCC Nrs =0.589 144
Diameter δ =13
50-Percentile effective diameter δ0.5 =3.245 56
90-Percentile effective diameter δ0.9 =4.445 88
Median distance δM =4
Mean distance δm =3.739 86
Gini coefficient G =0.822 719
Balanced inequality ratio P =0.159 341
Outdegree balanced inequality ratio P+ =0.171 898
Indegree balanced inequality ratio P =0.146 995
Relative edge distribution entropy Her =0.831 219
Power law exponent γ =1.492 99
Tail power law exponent γt =1.901 00
Tail power law exponent with p γ3 =1.901 00
p-value p =0.000 00
Outdegree tail power law exponent with p γ3,o =1.681 00
Outdegree p-value po =0.000 00
Indegree tail power law exponent with p γ3,i =1.591 00
Indegree p-value pi =0.000 00
Degree assortativity ρ =+0.370 843
Degree assortativity p-value pρ =0.000 00
In/outdegree correlation ρ± =+0.681 418
Clustering coefficient c =0.747 355
Directed clustering coefficient c± =0.927 579
Spectral norm α =739.916
Operator 2-norm ν =373.647
Cyclic eigenvalue π =366.083
Algebraic connectivity a =0.042 763 2
Spectral separation 1[A] / λ2[A]| =1.539 82
Reciprocity y =0.703 892
Non-bipartivity bA =0.914 085
Normalized non-bipartivity bN =0.021 206 7
Algebraic non-bipartivity χ =0.042 752 7
Spectral bipartite frustration bK =0.000 359 432
Controllability C =5,376
Relative controllability Cr =0.346 146

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 ]