Wikipedia links (lez)

This network consists of the wikilinks of the Wikipedia in the Lezghian language (lez). 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

CodeWlez
Internal namewikipedia_link_lez
NameWikipedia links (lez)
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 =5,171
Volume m =204,133
Loop count l =12
Wedge count s =23,546,046
Claw count z =7,303,513,302
Cross count x =1,599,049,350,484
Triangle count t =3,562,976
Square count q =352,983,608
4-Tour count T4 =2,918,314,468
Maximum degree dmax =1,664
Maximum outdegree d+max =417
Maximum indegree dmax =1,450
Average degree d =78.953 0
Fill p =0.007 634 21
Size of LCC N =5,151
Size of LSCC Ns =3,824
Relative size of LSCC Nrs =0.739 509
Diameter δ =10
50-Percentile effective diameter δ0.5 =2.691 12
90-Percentile effective diameter δ0.9 =4.034 11
Median distance δM =3
Mean distance δm =3.252 52
Gini coefficient G =0.651 273
Balanced inequality ratio P =0.255 405
Outdegree balanced inequality ratio P+ =0.262 255
Indegree balanced inequality ratio P =0.267 659
Relative edge distribution entropy Her =0.907 726
Power law exponent γ =1.365 53
Tail power law exponent γt =2.601 00
Tail power law exponent with p γ3 =2.601 00
p-value p =0.000 00
Outdegree tail power law exponent with p γ3,o =1.341 00
Outdegree p-value po =0.000 00
Indegree tail power law exponent with p γ3,i =2.491 00
Indegree p-value pi =0.000 00
Degree assortativity ρ =−0.100 226
Degree assortativity p-value pρ =0.000 00
In/outdegree correlation ρ± =+0.841 902
Clustering coefficient c =0.453 959
Directed clustering coefficient c± =0.802 495
Spectral norm α =324.295
Operator 2-norm ν =165.848
Cyclic eigenvalue π =159.064
Algebraic connectivity a =0.150 498
Reciprocity y =0.719 306
Non-bipartivity bA =0.776 768
Normalized non-bipartivity bN =0.096 518 5
Algebraic non-bipartivity χ =0.151 220
Spectral bipartite frustration bK =0.000 744 905
Controllability C =1,382
Relative controllability Cr =0.267 260

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 ]