Sister cities
This is an undirected network of cities of the world connected by "sister city"
or "twin city" relationships, as extracted from WikiData.
Metadata
Statistics
Size  n =  14,274

Volume  m =  20,573

Loop count  l =  0

Wedge count  s =  170,445

Claw count  z =  1,448,380

Cross count  x =  16,106,419

Triangle count  t =  6,327

Square count  q =  84,861

4Tour count  T_{4} =  1,401,814

Maximum degree  d_{max} =  99

Average degree  d =  2.882 58

Fill  p =  0.000 201 961

Size of LCC  N =  10,320

Diameter  δ =  25

50Percentile effective diameter  δ_{0.5} =  7.004 01

90Percentile effective diameter  δ_{0.9} =  10.164 7

Median distance  δ_{M} =  8

Mean distance  δ_{m} =  7.653 92

Gini coefficient  G =  0.506 040

Balanced inequality ratio  P =  0.299 738

Relative edge distribution entropy  H_{er} =  0.943 421

Power law exponent  γ =  2.601 21

Tail power law exponent  γ_{t} =  2.991 00

Tail power law exponent with p  γ_{3} =  2.991 00

pvalue  p =  0.002 000 00

Degree assortativity  ρ =  +0.386 786

Degree assortativity pvalue  p_{ρ} =  0.000 00

Clustering coefficient  c =  0.111 361

Spectral norm  α =  26.059 7

Algebraic connectivity  a =  0.008 981 29

Spectral separation  λ_{1}[A] / λ_{2}[A] =  1.121 46

Nonbipartivity  b_{A} =  0.607 783

Normalized nonbipartivity  b_{N} =  0.006 720 90

Algebraic nonbipartivity  χ =  0.012 754 3

Spectral bipartite frustration  b_{K} =  0.000 914 670

Controllability  C =  3,379

Relative controllability  C_{r} =  0.236 724

Plots
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 ]
