Wikipedia links (li)

This network consists of the wikilinks of the Wikipedia in the Limburgish language (li). 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

CodeWli
Internal namewikipedia_link_li
NameWikipedia links (li)
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 =49,129
Volume m =375,392
Loop count l =17
Wedge count s =43,772,272
Claw count z =16,809,280,196
Cross count x =9,283,020,920,077
Triangle count t =2,257,357
Square count q =143,100,665
4-Tour count T4 =1,320,482,908
Maximum degree dmax =3,496
Maximum outdegree d+max =615
Maximum indegree dmax =3,447
Average degree d =15.281 9
Fill p =0.000 155 528
Size of LCC N =49,126
Size of LSCC Ns =18,283
Relative size of LSCC Nrs =0.372 143
Diameter δ =8
50-Percentile effective diameter δ0.5 =3.849 38
90-Percentile effective diameter δ0.9 =4.921 89
Median distance δM =4
Mean distance δm =4.334 77
Gini coefficient G =0.827 084
Balanced inequality ratio P =0.143 594
Outdegree balanced inequality ratio P+ =0.154 018
Indegree balanced inequality ratio P =0.209 402
Relative edge distribution entropy Her =0.849 148
Power law exponent γ =2.040 65
Tail power law exponent γt =1.971 00
Tail power law exponent with p γ3 =1.971 00
p-value p =0.000 00
Outdegree tail power law exponent with p γ3,o =1.751 00
Outdegree p-value po =0.000 00
Indegree tail power law exponent with p γ3,i =3.281 00
Indegree p-value pi =0.000 00
Degree assortativity ρ =−0.062 494 2
Degree assortativity p-value pρ =0.000 00
In/outdegree correlation ρ± =+0.816 779
Clustering coefficient c =0.154 711
Directed clustering coefficient c± =0.413 862
Spectral norm α =193.587
Operator 2-norm ν =103.748
Cyclic eigenvalue π =93.247 5
Algebraic connectivity a =0.006 728 67
Spectral separation 1[A] / λ2[A]| =1.101 94
Reciprocity y =0.432 260
Non-bipartivity bA =0.669 298
Normalized non-bipartivity bN =0.003 341 38
Algebraic non-bipartivity χ =0.006 660 56
Spectral bipartite frustration bK =0.000 138 993
Controllability C =33,889
Relative controllability Cr =0.689 796

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 ]