arXiv astroph
This is the collaboration graph of authors of scientific papers from the
arXiv's Astrophysics (astroph) section. An edge between two authors represents
a common publication.
Metadata
Statistics
Size  n =  18,771

Volume  m =  198,050

Loop count  l =  0

Wedge count  s =  12,749,380

Claw count  z =  545,677,552

Cross count  x =  28,436,651,241

Triangle count  t =  1,351,441

Square count  q =  44,916,549

4Tour count  T_{4} =  410,726,012

Maximum degree  d_{max} =  504

Average degree  d =  21.101 7

Fill  p =  0.001 124 22

Size of LCC  N =  17,903

Diameter  δ =  14

50Percentile effective diameter  δ_{0.5} =  3.593 59

90Percentile effective diameter  δ_{0.9} =  5.002 79

Median distance  δ_{M} =  4

Mean distance  δ_{m} =  4.174 33

Gini coefficient  G =  0.610 511

Relative edge distribution entropy  H_{er} =  0.931 468

Power law exponent  γ =  1.439 22

Tail power law exponent  γ_{t} =  2.861 00

Degree assortativity  ρ =  +0.205 129

Degree assortativity pvalue  p_{ρ} =  0.000 00

Clustering coefficient  c =  0.318 002

Algebraic connectivity  a =  0.027 215 7

Spectral separation  λ_{1}[A] / λ_{2}[A] =  1.250 87

Nonbipartivity  b_{A} =  0.700 817

Normalized nonbipartivity  b_{N} =  0.084 055 4

Spectral bipartite frustration  b_{K} =  0.001 535 64

Controllability  C =  537

Relative controllability  C_{r} =  0.970 000

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]

Jure Leskovec, Jon Kleinberg, and Christos Faloutsos.
Graph evolution: Densification and shrinking diameters.
ACM Trans. Knowl. Discov. from Data, 1(1):1–40, 2007.
