California and Nevada
This is the directed road network from the 9th DIMACS Implementation Challenge,
for the area "California and Nevada".
Metadata
Statistics
Size | n = | 1,890,815
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Volume | m = | 4,630,444
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Loop count | l = | 0
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Wedge count | s = | 4,192,229
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Claw count | z = | 30,258,364
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Cross count | x = | 28,228,721
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Triangle count | t = | 34,672
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Square count | q = | 134,075
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4-Tour count | T4 = | 22,471,960
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Maximum degree | dmax = | 14
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Maximum outdegree | d+max = | 7
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Maximum indegree | d−max = | 7
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Average degree | d = | 4.897 83
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Size of LCC | N = | 1,890,815
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Size of LSCC | Ns = | 1,890,815
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Relative size of LSCC | Nrs = | 1.000 00
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Diameter | δ = | 2,315
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50-Percentile effective diameter | δ0.5 = | 766.790
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90-Percentile effective diameter | δ0.9 = | 1,248.86
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Median distance | δM = | 767
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Mean distance | δm = | 778.470
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Gini coefficient | G = | 0.209 777
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Balanced inequality ratio | P = | 0.424 340
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Outdegree balanced inequality ratio | P+ = | 0.424 340
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Indegree balanced inequality ratio | P− = | 0.424 340
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Relative edge distribution entropy | Her = | 0.994 497
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Power law exponent | γ = | 2.243 70
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Tail power law exponent | γt = | 6.461 00
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Tail power law exponent with p | γ3 = | 6.461 00
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p-value | p = | 0.000 00
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Outdegree tail power law exponent with p | γ3,o = | 6.461 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 = | 6.461 00
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Indegree p-value | pi = | 0.000 00
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Degree assortativity | ρ = | +0.074 357 5
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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 = | 0.024 811 6
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Directed clustering coefficient | c± = | 0.024 811 6
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Spectral norm | α = | 8.605 43
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Operator 2-norm | ν = | 4.302 72
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Cyclic eigenvalue | π = | 4.302 72
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Algebraic connectivity | a = | 3.677 81 × 10−7
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Reciprocity | y = | 1.000 00
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Non-bipartivity | bA = | 0.087 808 9
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Normalized non-bipartivity | bN = | 0.000 181 755
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Algebraic non-bipartivity | χ = | 0.000 360 203
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Spectral bipartite frustration | bK = | 3.677 17 × 10−5
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Controllability | C = | 187,882
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Relative controllability | Cr = | 0.099 365 6
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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 ]
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