arXiv hepph
This is the cocitation network of scientific papers from the arXiv's High
Energy Physics – Phenomenology (hepph) section. An edge between two papers
represents a common citing publication. Timestamps denote the date of the
citing publication.
Metadata
Statistics
Size  n =  28,093

Volume  m =  4,596,803

Unique edge count  m̿ =  3,148,447

Loop count  l =  0

Wedge count  s =  2,097,593,926

Claw count  z =  862,892,139,927

Cross count  x =  409,090,345,290,895

Triangle count  t =  195,758,685

Square count  q =  69,676,915,730

4Tour count  T_{4} =  565,811,998,438

Maximum degree  d_{max} =  11,134

Average degree  d =  327.256

Fill  p =  0.007 978 95

Average edge multiplicity  m̃ =  1.460 02

Size of LCC  N =  28,045

Diameter  δ =  9

50Percentile effective diameter  δ_{0.5} =  2.353 74

90Percentile effective diameter  δ_{0.9} =  3.216 57

Median distance  δ_{M} =  3

Mean distance  δ_{m} =  2.827 13

Gini coefficient  G =  0.670 678

Balanced inequality ratio  P =  0.239 576

Relative edge distribution entropy  H_{er} =  0.934 575

Power law exponent  γ =  1.219 86

Tail power law exponent  γ_{t} =  1.731 00

Degree assortativity  ρ =  +0.033 384 3

Degree assortativity pvalue  p_{ρ} =  0.000 00

Clustering coefficient  c =  0.279 976

Spectral norm  α =  1,921.46

Algebraic connectivity  a =  0.169 297

Spectral separation  λ_{1}[A] / λ_{2}[A] =  1.120 47

Nonbipartivity  b_{A} =  0.862 128

Normalized nonbipartivity  b_{N} =  0.232 408

Algebraic nonbipartivity  χ =  0.381 300

Spectral bipartite frustration  b_{K} =  0.000 424 561

Controllability  C =  11

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.
