Wikipedia links (mi)

This network consists of the wikilinks of the Wikipedia in the Maori language (mi). 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

CodeWmi
Internal namewikipedia_link_mi
NameWikipedia links (mi)
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 =7,996
Volume m =116,464
Loop count l =7
Wedge count s =29,235,195
Claw count z =24,365,974,487
Cross count x =19,204,200,950,564
Triangle count t =1,012,326
Square count q =77,496,152
4-Tour count T4 =737,067,480
Maximum degree dmax =3,830
Maximum outdegree d+max =230
Maximum indegree dmax =3,828
Average degree d =29.130 6
Fill p =0.001 821 57
Size of LCC N =7,992
Size of LSCC Ns =3,696
Relative size of LSCC Nrs =0.462 231
Diameter δ =8
50-Percentile effective diameter δ0.5 =2.088 03
90-Percentile effective diameter δ0.9 =3.023 92
Median distance δM =3
Mean distance δm =2.648 07
Gini coefficient G =0.732 010
Balanced inequality ratio P =0.213 126
Outdegree balanced inequality ratio P+ =0.243 208
Indegree balanced inequality ratio P =0.225 778
Relative edge distribution entropy Her =0.864 613
Power law exponent γ =1.499 59
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 =2.151 00
Outdegree p-value po =0.000 00
Indegree tail power law exponent with p γ3,i =2.971 00
Indegree p-value pi =0.000 00
Degree assortativity ρ =−0.159 574
Degree assortativity p-value pρ =0.000 00
In/outdegree correlation ρ± =+0.850 342
Clustering coefficient c =0.103 881
Directed clustering coefficient c± =0.774 876
Cyclic eigenvalue π =111.219
Algebraic connectivity a =0.234 701
Reciprocity y =0.647 728
Normalized non-bipartivity bN =0.083 437 4
Algebraic non-bipartivity χ =0.218 368
Spectral bipartite frustration bK =0.002 770 26
Controllability C =4,857
Relative controllability Cr =0.607 429

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 ]