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Metadata
Statistics
| Size | n = | 15,763
|
| Volume | m = | 171,206
|
| Loop count | l = | 871
|
| Wedge count | s = | 133,820,601
|
| Claw count | z = | 354,444,098,866
|
| Cross count | x = | 878,284,318,865,620
|
| Triangle count | t = | 591,156
|
| Square count | q = | 196,281,177
|
| 4-Tour count | T4 = | 2,105,828,990
|
| Maximum degree | dmax = | 11,408
|
| Maximum outdegree | d+max = | 852
|
| Maximum indegree | d−max = | 11,397
|
| Average degree | d = | 21.722 5
|
| Fill | p = | 0.000 689 035
|
| Size of LCC | N = | 15,763
|
| Size of LSCC | Ns = | 12,354
|
| Relative size of LSCC | Nrs = | 0.783 734
|
| Diameter | δ = | 7
|
| 50-Percentile effective diameter | δ0.5 = | 1.963 41
|
| 90-Percentile effective diameter | δ0.9 = | 2.933 81
|
| Median distance | δM = | 2
|
| Mean distance | δm = | 2.555 10
|
| Gini coefficient | G = | 0.636 260
|
| Balanced inequality ratio | P = | 0.273 939
|
| Outdegree balanced inequality ratio | P+ = | 0.350 718
|
| Indegree balanced inequality ratio | P− = | 0.192 084
|
| Relative edge distribution entropy | Her = | 0.879 364
|
| Power law exponent | γ = | 1.485 09
|
| Tail power law exponent | γt = | 2.681 00
|
| Tail power law exponent with p | γ3 = | 2.681 00
|
| p-value | p = | 0.000 00
|
| Outdegree tail power law exponent with p | γ3,o = | 3.181 00
|
| Outdegree p-value | po = | 0.000 00
|
| Indegree tail power law exponent with p | γ3,i = | 1.981 00
|
| Indegree p-value | pi = | 0.000 00
|
| Degree assortativity | ρ = | −0.121 510
|
| Degree assortativity p-value | pρ = | 0.000 00
|
| In/outdegree correlation | ρ± = | +0.527 265
|
| Clustering coefficient | c = | 0.013 252 6
|
| Directed clustering coefficient | c± = | 0.393 768
|
| Spectral norm | α = | 178.018
|
| Operator 2-norm | ν = | 162.422
|
| Cyclic eigenvalue | π = | 61.075 3
|
| Algebraic connectivity | a = | 0.009 382 19
|
| Spectral separation | |λ1[A] / λ2[A]| = | 1.198 67
|
| Reciprocity | y = | 0.259 167
|
| Non-bipartivity | bA = | 0.165 743
|
| Normalized non-bipartivity | bN = | 0.004 475 19
|
| Algebraic non-bipartivity | χ = | 0.008 923 82
|
| Spectral bipartite frustration | bK = | 0.000 117 648
|
| Controllability | C = | 5,527
|
| Relative controllability | Cr = | 0.350 631
|
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 ]
|
|
[2]
|
Gergely Palla, Illés J. Farkas, Péter Pollner, Imre Derényi, and Tamás
Vicsek.
Directed network modules.
New J. Phys., 9(6):186, 2007.
|
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