OpenFlights (Patokallio)
These are flights collected by the OpenFlights.org project. Each node is an
airport, and a directed edge represents one flight by one airline. A flight in
this dataset is defined as a normally regularly occuring flight identified by
its flight number (e.g., AF331), not individual flights (e.g., AF331 on June 14
2015). In the network, multiple edges may connect the same nodes, because
multiple airlines may connect the same airports, and a single airline may have
multiple flights connecting the same airports (usually, at different time of
days). Thus, the multiplicity of an edge gives a rough estimate of the traffic
between two airports. The dataset in the version available contains at least
one loop: A flight by Trigana Air Service (IATA code IL) from and to Iskandar
Airport (IATA code PKN) in Indonesia. We do not know whether such entries are
errors, or whether they represent legitimate flights, used e.g. for sightseeing.
Metadata
Statistics
Size  n =  3,425

Volume  m =  67,663

Unique edge count  m̿ =  37,595

Loop count  l =  1

Wedge count  s =  1,221,697

Claw count  z =  383,135,844

Cross count  x =  29,224,814,720

Triangle count  t =  101,117

Square count  q =  4,243,727

4Tour count  T_{4} =  38,875,116

Maximum degree  d_{max} =  1,826

Maximum outdegree  d^{+}_{max} =  915

Maximum indegree  d^{−}_{max} =  911

Average degree  d =  39.511 2

Fill  p =  0.003 204 86

Average edge multiplicity  m̃ =  1.799 79

Size of LCC  N =  3,397

Size of LSCC  N_{s} =  3,354

Relative size of LSCC  N^{r}_{s} =  0.979 270

Diameter  δ =  13

50Percentile effective diameter  δ_{0.5} =  3.539 75

90Percentile effective diameter  δ_{0.9} =  5.395 08

Median distance  δ_{M} =  4

Mean distance  δ_{m} =  4.192 98

Gini coefficient  G =  0.781 382

Balanced inequality ratio  P =  0.179 330

Outdegree balanced inequality ratio  P_{+} =  0.179 685

Indegree balanced inequality ratio  P_{−} =  0.175 443

Relative edge distribution entropy  H_{er} =  0.863 738

Power law exponent  γ =  1.715 88

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} =  1.721 00

Outdegree pvalue  p_{o} =  0.000 00

Indegree tail power law exponent with p  γ_{3,i} =  1.721 00

Indegree pvalue  p_{i} =  0.000 00

Degree assortativity  ρ =  −0.006 455 52

Degree assortativity pvalue  p_{ρ} =  0.205 214

In/outdegree correlation  ρ^{±} =  +0.995 878

Clustering coefficient  c =  0.248 303

Directed clustering coefficient  c^{±} =  0.249 277

Spectral norm  α =  353.415

Operator 2norm  ν =  176.748

Cyclic eigenvalue  π =  176.668

Algebraic connectivity  a =  0.047 360 0

Spectral separation  λ_{1}[A] / λ_{2}[A] =  1.222 61

Reciprocity  y =  0.975 582

Nonbipartivity  b_{A} =  0.656 663

Controllability  C =  1,186

Relative controllability  C_{r} =  0.346 277

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 ]
