Astrophysics
This is the coauthorship network from the "astrophysics" section (astroph) of
arXiv. Nodes are authors and an edge denotes a collaboration.
Metadata
Statistics
Size  n =  16,046

Volume  m =  121,251

Loop count  l =  0

Wedge count  s =  5,325,457

Claw count  z =  163,827,498

Cross count  x =  6,615,074,549

Triangle count  t =  756,019

Square count  q =  21,648,652

4Tour count  T_{4} =  194,733,546

Maximum degree  d_{max} =  360

Average degree  d =  15.112 9

Fill  p =  0.000 941 909

Size of LCC  N =  14,845

Diameter  δ =  14

50Percentile effective diameter  δ_{0.5} =  4.321 41

90Percentile effective diameter  δ_{0.9} =  7.011 94

Median distance  δ_{M} =  5

Mean distance  δ_{m} =  5.108 49

Gini coefficient  G =  0.591 788

Balanced inequality ratio  P =  0.273 350

Relative edge distribution entropy  H_{er} =  0.934 837

Power law exponent  γ =  1.494 83

Tail power law exponent  γ_{t} =  3.751 00

Tail power law exponent with p  γ_{3} =  3.751 00

pvalue  p =  0.103 000

Degree assortativity  ρ =  +0.235 462

Degree assortativity pvalue  p_{ρ} =  0.000 00

Clustering coefficient  c =  0.425 890

Spectral norm  α =  73.886 8

Algebraic connectivity  a =  0.030 183 6

Spectral separation  λ_{1}[A] / λ_{2}[A] =  1.082 72

Nonbipartivity  b_{A} =  0.663 931

Normalized nonbipartivity  b_{N} =  0.088 359 2

Algebraic nonbipartivity  χ =  0.144 581

Spectral bipartite frustration  b_{K} =  0.002 242 24

Controllability  C =  569

Relative controllability  C_{r} =  0.035 460 6

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]

Mark E. J. Newman.
The structure of scientific collaboration networks.
Proc. Natl. Acad. Sci. U.S.A., 98(2):404–409, 2001.
