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
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Wedge count | s = | 2,414,774
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Claw count | z = | 17,007,896
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Cross count | x = | 15,343,462
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Triangle count | t = | 21,527
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Square count | q = | 64,556
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4-Tour count | T4 = | 12,996,318
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Maximum degree | dmax = | 18
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Maximum outdegree | d+max = | 9
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Maximum indegree | d−max = | 9
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Average degree | d = | 4.670 37
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Size of LCC | N = | 1,207,945
|
Size of LSCC | Ns = | 1,207,945
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Relative size of LSCC | Nrs = | 1.000 00
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Diameter | δ = | 1,994
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50-Percentile effective diameter | δ0.5 = | 763.928
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90-Percentile effective diameter | δ0.9 = | 1,155.23
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Median distance | δM = | 764
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Mean distance | δm = | 754.722
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Gini coefficient | G = | 0.219 823
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Balanced inequality ratio | P = | 0.414 165
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Outdegree balanced inequality ratio | P+ = | 0.414 165
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Indegree balanced inequality ratio | P− = | 0.414 165
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Relative edge distribution entropy | Her = | 0.993 873
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Power law exponent | γ = | 2.332 13
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Tail power law exponent | γt = | 6.861 00
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Tail power law exponent with p | γ3 = | 6.861 00
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p-value | p = | 0.000 00
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Outdegree tail power law exponent with p | γ3,o = | 6.861 00
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Outdegree p-value | po = | 0.000 00
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Indegree tail power law exponent with p | γ3,i = | 6.861 00
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Indegree p-value | pi = | 0.000 00
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Degree assortativity | ρ = | +0.048 149 4
|
Degree assortativity p-value | pρ = | 0.000 00
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In/outdegree correlation | ρ± = | +1.000 00
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Clustering coefficient | c = | 0.026 744 1
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Directed clustering coefficient | c± = | 0.026 744 1
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Spectral norm | α = | 8.375 31
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Operator 2-norm | ν = | 4.187 65
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Cyclic eigenvalue | π = | 4.187 65
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Algebraic connectivity | a = | 6.362 32 × 10−7
|
Reciprocity | y = | 1.000 00
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Non-bipartivity | bA = | 0.065 255 6
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Normalized non-bipartivity | bN = | 0.000 148 562
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Algebraic non-bipartivity | χ = | 0.000 296 058
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Spectral bipartite frustration | bK = | 3.169 53 × 10−5
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Controllability | C = | 129,124
|
Relative controllability | Cr = | 0.106 896
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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 ]
|