Northeast USA
This is the directed road network from the 9th DIMACS Implementation Challenge,
for the area "Northeast USA".
Metadata
Statistics
Size  n =  1,524,453

Volume  m =  3,868,020

Loop count  l =  0

Wedge count  s =  3,662,100

Claw count  z =  26,925,368

Cross count  x =  25,629,408

Triangle count  t =  37,012

Square count  q =  148,092

4Tour count  T_{4} =  19,701,156

Maximum degree  d_{max} =  18

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

Maximum indegree  d^{−}_{max} =  9

Average degree  d =  5.074 63

Fill  p =  1.664 41 × 10^{−6}

Size of LCC  N =  1,524,453

Size of LSCC  N_{s} =  1,524,453

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

Diameter  δ =  2,098

50Percentile effective diameter  δ_{0.5} =  720.652

90Percentile effective diameter  δ_{0.9} =  1,327.23

Mean distance  δ_{m} =  764.448

Gini coefficient  G =  0.202 056

Balanced inequality ratio  P =  0.432 455

Outdegree balanced inequality ratio  P_{+} =  0.432 455

Indegree balanced inequality ratio  P_{−} =  0.432 455

Relative edge distribution entropy  H_{er} =  0.994 586

Power law exponent  γ =  2.189 87

Tail power law exponent  γ_{t} =  6.461 00

Degree assortativity  ρ =  +0.105 737

Degree assortativity pvalue  p_{ρ} =  0.000 00

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

Clustering coefficient  c =  0.030 320 3

Spectral norm  α =  8.670 33

Operator 2norm  ν =  4.335 17

Cyclic eigenvalue  π =  4.335 17

Algebraic connectivity  a =  5.380 07 × 10^{−7}

Reciprocity  y =  1.000 00

Nonbipartivity  b_{A} =  0.091 415 7

Normalized nonbipartivity  b_{N} =  0.000 394 322

Spectral bipartite frustration  b_{K} =  7.679 10 × 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 ]
