OpenFlights (Opsahl)
This directed network contains flights between airports of the world. A
directed edge represents a flight from one airport to another. This dataset is
extracted from Openflights.org data and corresponds to network 14c in the
dataset list by Tore Opsahl.
Metadata
Statistics
Size  n =  2,939

Volume  m =  30,501

Loop count  l =  0

Wedge count  s =  858,032

Claw count  z =  228,755,628

Cross count  x =  15,168,107,153

Triangle count  t =  72,852

Square count  q =  2,642,153

4Tour count  T_{4} =  24,600,706

Maximum degree  d_{max} =  473

Maximum outdegree  d^{+}_{max} =  237

Maximum indegree  d^{−}_{max} =  236

Average degree  d =  20.756 0

Fill  p =  0.003 532 34

Size of LCC  N =  2,905

Size of LSCC  N_{s} =  2,868

Relative size of LSCC  N^{r}_{s} =  0.975 842

Diameter  δ =  14

50Percentile effective diameter  δ_{0.5} =  3.606 51

90Percentile effective diameter  δ_{0.9} =  5.189 09

Median distance  δ_{M} =  4

Mean distance  δ_{m} =  4.175 91

Gini coefficient  G =  0.711 349

Balanced inequality ratio  P =  0.209 583

Outdegree balanced inequality ratio  P_{+} =  0.210 387

Indegree balanced inequality ratio  P_{−} =  0.210 878

Relative edge distribution entropy  H_{er} =  0.868 671

Power law exponent  γ =  1.722 69

Tail power law exponent  γ_{t} =  1.741 00

Tail power law exponent with p  γ_{3} =  1.741 00

pvalue  p =  0.000 00

Outdegree tail power law exponent with p  γ_{3,o} =  1.731 00

Outdegree pvalue  p_{o} =  0.000 00

Indegree tail power law exponent with p  γ_{3,i} =  1.731 00

Indegree pvalue  p_{i} =  0.000 00

Degree assortativity  ρ =  +0.050 915 5

Degree assortativity pvalue  p_{ρ} =  1.861 44 × 10^{−19}

In/outdegree correlation  ρ^{±} =  +0.992 291

Clustering coefficient  c =  0.254 718

Directed clustering coefficient  c^{±} =  0.254 319

Spectral norm  α =  124.591

Operator 2norm  ν =  62.311 7

Cyclic eigenvalue  π =  62.280 0

Algebraic connectivity  a =  0.078 388 5

Spectral separation  λ_{1}[A] / λ_{2}[A] =  1.483 18

Reciprocity  y =  0.972 034

Nonbipartivity  b_{A} =  0.652 641

Normalized nonbipartivity  b_{N} =  0.030 222 1

Algebraic nonbipartivity  χ =  0.052 326 2

Spectral bipartite frustration  b_{K} =  0.001 214 51

Controllability  C =  905

Relative controllability  C_{r} =  0.307 928

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 ]

[2]

Tore Opsahl, Filip Agneessens, and John Skvoretz.
Node centrality in weighted networks: Generalizing degree and
shortest paths.
Soc. Netw., 3(32):245–251, 2010.
