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Metadata
Statistics
Size | n = | 25,876
|
Volume | m = | 439,724
|
Loop count | l = | 1,205
|
Wedge count | s = | 93,830,413
|
Claw count | z = | 61,941,203,410
|
Cross count | x = | 31,583,604,437,513
|
Triangle count | t = | 14,096,716
|
Square count | q = | 3,747,010,961
|
4-Tour count | T4 = | 30,352,045,206
|
Maximum degree | dmax = | 4,754
|
Maximum outdegree | d+max = | 433
|
Maximum indegree | d−max = | 4,595
|
Average degree | d = | 33.987 0
|
Fill | p = | 0.000 656 729
|
Size of LCC | N = | 25,706
|
Size of LSCC | Ns = | 12,838
|
Relative size of LSCC | Nrs = | 0.496 135
|
Diameter | δ = | 11
|
50-Percentile effective diameter | δ0.5 = | 3.709 78
|
90-Percentile effective diameter | δ0.9 = | 5.523 35
|
Median distance | δM = | 4
|
Mean distance | δm = | 4.268 90
|
Gini coefficient | G = | 0.835 463
|
Balanced inequality ratio | P = | 0.146 856
|
Outdegree balanced inequality ratio | P+ = | 0.152 537
|
Indegree balanced inequality ratio | P− = | 0.130 270
|
Relative edge distribution entropy | Her = | 0.829 608
|
Power law exponent | γ = | 1.648 80
|
Tail power law exponent | γt = | 1.761 00
|
Tail power law exponent with p | γ3 = | 1.761 00
|
p-value | p = | 0.000 00
|
Outdegree tail power law exponent with p | γ3,o = | 1.791 00
|
Outdegree p-value | po = | 0.000 00
|
Indegree tail power law exponent with p | γ3,i = | 1.541 00
|
Indegree p-value | pi = | 0.000 00
|
Degree assortativity | ρ = | −0.105 429
|
Degree assortativity p-value | pρ = | 0.000 00
|
In/outdegree correlation | ρ± = | +0.670 466
|
Clustering coefficient | c = | 0.450 708
|
Directed clustering coefficient | c± = | 0.852 149
|
Spectral norm | α = | 742.352
|
Operator 2-norm | ν = | 377.168
|
Cyclic eigenvalue | π = | 364.881
|
Algebraic connectivity | a = | 0.056 551 4
|
Spectral separation | |λ1[A] / λ2[A]| = | 2.580 71
|
Reciprocity | y = | 0.551 203
|
Non-bipartivity | bA = | 0.786 863
|
Normalized non-bipartivity | bN = | 0.066 534 9
|
Algebraic non-bipartivity | χ = | 0.108 570
|
Spectral bipartite frustration | bK = | 0.001 093 46
|
Controllability | C = | 8,851
|
Relative controllability | Cr = | 0.342 054
|
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 ]
|