arXiv hepth
This is the cocitation graph of papers of scientific papers from the arXiv's
High Energy Physics – Theory (hepth) section. An edge between two papers
represents a paper that cites both papers. Timestamps denote the date of a
publication.
Metadata
Statistics
Size  n =  22,908

Volume  m =  2,673,133

Unique edge count  m̿ =  2,444,798

Wedge count  s =  2,134,203,872

Claw count  z =  1,506,168,874,130

Cross count  x =  1,478,988,337,901,334

Triangle count  t =  191,358,360

Square count  q =  92,607,592,200

4Tour count  T_{4} =  749,402,442,684

Maximum degree  d_{max} =  11,967

Average degree  d =  233.380

Fill  p =  0.009 317 89

Average edge multiplicity  m̃ =  1.093 40

Size of LCC  N =  22,721

Diameter  δ =  9

50Percentile effective diameter  δ_{0.5} =  2.212 36

90Percentile effective diameter  δ_{0.9} =  3.131 39

Median distance  δ_{M} =  3

Mean distance  δ_{m} =  2.717 19

Gini coefficient  G =  0.684 442

Balanced inequality ratio  P =  0.235 728

Power law exponent  γ =  1.233 90

Tail power law exponent  γ_{t} =  1.721 00

Degree assortativity  ρ =  −0.033 934 3

Degree assortativity pvalue  p_{ρ} =  0.000 00

Clustering coefficient  c =  0.268 988

Spectral norm  α =  1,225.32

Algebraic connectivity  a =  0.175 383

Spectral separation  λ_{1}[A] / λ_{2}[A] =  2.093 52

Nonbipartivity  b_{A} =  0.896 403

Normalized nonbipartivity  b_{N} =  0.152 926

Algebraic nonbipartivity  χ =  0.235 724

Spectral bipartite frustration  b_{K} =  0.000 273 859

Controllability  C =  22

Relative controllability  C_{r} =  0.000 960 363

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.
