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Metadata
Statistics
Size | n = | 40,757
|
Volume | m = | 664,036
|
Loop count | l = | 279
|
Wedge count | s = | 137,552,856
|
Claw count | z = | 98,174,140,445
|
Cross count | x = | 94,414,983,354,847
|
Triangle count | t = | 2,209,635
|
Square count | q = | 1,922,754,199
|
4-Tour count | T4 = | 15,933,444,782
|
Maximum degree | dmax = | 5,859
|
Maximum outdegree | d+max = | 2,830
|
Maximum indegree | d−max = | 4,315
|
Average degree | d = | 32.585 1
|
Fill | p = | 0.000 399 749
|
Size of LCC | N = | 40,618
|
Size of LSCC | Ns = | 27,684
|
Relative size of LSCC | Nrs = | 0.679 245
|
Diameter | δ = | 11
|
50-Percentile effective diameter | δ0.5 = | 3.320 27
|
90-Percentile effective diameter | δ0.9 = | 4.549 63
|
Median distance | δM = | 4
|
Mean distance | δm = | 3.811 30
|
Gini coefficient | G = | 0.700 234
|
Balanced inequality ratio | P = | 0.228 172
|
Outdegree balanced inequality ratio | P+ = | 0.212 954
|
Indegree balanced inequality ratio | P− = | 0.186 960
|
Relative edge distribution entropy | Her = | 0.904 787
|
Power law exponent | γ = | 1.449 71
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Tail power law exponent | γt = | 1.871 00
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Tail power law exponent with p | γ3 = | 1.871 00
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p-value | p = | 0.000 00
|
Outdegree tail power law exponent with p | γ3,o = | 2.031 00
|
Outdegree p-value | po = | 0.000 00
|
Indegree tail power law exponent with p | γ3,i = | 1.461 00
|
Indegree p-value | pi = | 0.000 00
|
Degree assortativity | ρ = | −0.098 558 7
|
Degree assortativity p-value | pρ = | 0.000 00
|
In/outdegree correlation | ρ± = | +0.197 303
|
Clustering coefficient | c = | 0.048 191 7
|
Directed clustering coefficient | c± = | 0.233 156
|
Spectral norm | α = | 263.138
|
Operator 2-norm | ν = | 258.401
|
Cyclic eigenvalue | π = | 85.038 7
|
Algebraic connectivity | a = | 0.082 841 1
|
Spectral separation | |λ1[A] / λ2[A]| = | 1.025 53
|
Reciprocity | y = | 0.192 801
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Non-bipartivity | bA = | 0.024 890 4
|
Normalized non-bipartivity | bN = | 0.011 263 9
|
Algebraic non-bipartivity | χ = | 0.074 241 9
|
Spectral bipartite frustration | bK = | 0.000 628 166
|
Controllability | C = | 12,912
|
Relative controllability | Cr = | 0.316 804
|
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 ]
|