South African companies

This bipartite network contains person–company shared leadership relations of "the five most representative companies" that are claimed to represent "the small inner ring of South African Finance". Left nodes represent persons and right nodes represent companies. An edge between a person and a company shows that the person had a leadership position in that company.

Metadata

CodeSC
Internal namebrunson_south-africa
NameSouth African companies
Data sourcehttps://github.com/corybrunson/triadic
AvailabilityDataset is available for download
Consistency checkDataset passed all tests
Category
Affiliation network
Node meaningPerson, company
Edge meaningLeadership
Network formatBipartite, undirected
Edge typeUnweighted, no multiple edges

Statistics

Size n =11
Left size n1 =6
Right size n2 =5
Volume m =13
Wedge count s =13
Claw count z =10
Cross count x =2
Square count q =4
4-Tour count T4 =150
Maximum degree dmax =4
Maximum left degree d1max =3
Maximum right degree d2max =4
Average degree d =2.363 64
Average left degree d1 =2.166 67
Average right degree d2 =2.600 00
Fill p =0.433 333
Size of LCC N =2
Diameter δ =4
50-Percentile effective diameter δ0.5 =2.000 00
90-Percentile effective diameter δ0.9 =0.700 000
Median distance δM =0
Mean distance δm =0.333 333
Gini coefficient G =0.230 769
Balanced inequality ratio P =0.307 692
Left balanced inequality ratio P1 =0.461 538
Right balanced inequality ratio P2 =0.384 615
Relative edge distribution entropy Her =0.963 938
Power law exponent γ =2.304 01
Tail power law exponent γt =3.211 00
Tail power law exponent with p γ3 =3.211 00
p-value p =0.376 000
Left tail power law exponent with p γ3,1 =5.331 00
Left p-value p1 =0.549 000
Right tail power law exponent with p γ3,2 =1.811 00
Right p-value p2 =0.029 000 0
Degree assortativity ρ =+0.184 466
Degree assortativity p-value pρ =0.546 309
Spectral norm α =2.829 33
Algebraic connectivity a =0.244 822
Spectral separation |λ1[A] / λ2[A]| =1.658 85
Controllability C =1
Relative controllability Cr =0.090 909 1

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

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 ]
[2] John Atkinson Hobson. The Evolution of Modern Capitalism: A Study of Machine Production. Walter Scott, 1894.