Northwest USA
This is the directed road network from the 9th DIMACS Implementation Challenge,
for the area "Northwest USA".
Metadata
Statistics
Size  n =  1,207,945

Volume  m =  2,820,774

Loop count  l =  0

Wedge count  s =  2,414,774

Claw count  z =  17,007,896

Cross count  x =  15,343,462

Triangle count  t =  21,527

Square count  q =  64,556

4Tour count  T_{4} =  12,996,318

Maximum degree  d_{max} =  18

Maximum outdegree  d^{+}_{max} =  9

Maximum indegree  d^{−}_{max} =  9

Average degree  d =  4.670 37

Fill  p =  1.933 19 × 10^{−6}

Size of LCC  N =  1,207,945

Size of LSCC  N_{s} =  1,207,945

Relative size of LSCC  N^{r}_{s} =  1.000 00

Diameter  δ =  1,994

50Percentile effective diameter  δ_{0.5} =  763.928

90Percentile effective diameter  δ_{0.9} =  1,155.23

Mean distance  δ_{m} =  754.722

Gini coefficient  G =  0.219 823

Balanced inequality ratio  P =  0.414 165

Outdegree balanced inequality ratio  P_{+} =  0.414 165

Indegree balanced inequality ratio  P_{−} =  0.414 165

Relative edge distribution entropy  H_{er} =  0.993 873

Power law exponent  γ =  2.332 13

Tail power law exponent  γ_{t} =  6.861 00

Degree assortativity  ρ =  +0.048 149 4

Degree assortativity pvalue  p_{ρ} =  0.000 00

In/outdegree correlation  ρ^{±} =  +1.000 00

Clustering coefficient  c =  0.026 744 1

Spectral norm  α =  8.375 31

Operator 2norm  ν =  4.187 65

Cyclic eigenvalue  π =  4.187 65

Algebraic connectivity  a =  6.362 32 × 10^{−7}

Reciprocity  y =  1.000 00

Nonbipartivity  b_{A} =  0.065 255 6

Normalized nonbipartivity  b_{N} =  0.000 148 562

Spectral bipartite frustration  b_{K} =  3.169 53 × 10^{−5}

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 ]
