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Metadata
Statistics
Size  n =  177,386

Left size  n_{1} =  56,519

Right size  n_{2} =  120,867

Volume  m =  440,237

Wedge count  s =  53,048,506

Claw count  z =  17,233,019,660

Cross count  x =  9,927,710,269,155

Square count  q =  50,894,505

4Tour count  T_{4} =  620,327,470

Maximum degree  d_{max} =  3,675

Maximum left degree  d_{1max} =  884

Maximum right degree  d_{2max} =  3,675

Average degree  d =  4.963 60

Average left degree  d_{1} =  7.789 19

Average right degree  d_{2} =  3.642 33

Fill  p =  6.444 43 × 10^{−5}

Size of LCC  N =  139,737

Diameter  δ =  22

50Percentile effective diameter  δ_{0.5} =  4.860 62

90Percentile effective diameter  δ_{0.9} =  6.516 22

Median distance  δ_{M} =  5

Mean distance  δ_{m} =  5.353 42

Gini coefficient  G =  0.744 516

Balanced inequality ratio  P =  0.199 248

Left balanced inequality ratio  P_{1} =  0.205 260

Right balanced inequality ratio  P_{2} =  0.231 457

Relative edge distribution entropy  H_{er} =  0.873 618

Power law exponent  γ =  2.612 40

Tail power law exponent  γ_{t} =  1.951 00

Tail power law exponent with p  γ_{3} =  1.951 00

pvalue  p =  0.000 00

Left tail power law exponent with p  γ_{3,1} =  2.721 00

Left pvalue  p_{1} =  0.011 000 0

Right tail power law exponent with p  γ_{3,2} =  2.041 00

Right pvalue  p_{2} =  0.001 000 00

Degree assortativity  ρ =  −0.035 776 7

Degree assortativity pvalue  p_{ρ} =  1.223 26 × 10^{−124}

Spectral norm  α =  120.273

Algebraic connectivity  a =  0.010 203 8

Spectral separation  λ_{1}[A] / λ_{2}[A] =  2.027 71

Controllability  C =  78,745

Relative controllability  C_{r} =  0.443 919

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Matrix decompositions plots
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References