arXiv hepph
This is the network of publications in the arXiv's High Energy Physics –
Phenomenology (hepph) section. The directed links that connect the
publications are citations. Some publications cite themselves, and therefore
the network contains loops.
Metadata
Statistics
Size  n =  34,546

Volume  m =  421,578

Loop count  l =  44

Wedge count  s =  26,298,866

Claw count  z =  1,344,423,338

Cross count  x =  104,402,971,182

Triangle count  t =  1,276,868

Square count  q =  39,015,537

4Tour count  T_{4} =  418,161,514

Maximum degree  d_{max} =  846

Maximum outdegree  d^{+}_{max} =  411

Maximum indegree  d^{−}_{max} =  846

Average degree  d =  24.406 8

Fill  p =  0.000 353 250

Size of LCC  N =  34,401

Size of LSCC  N_{s} =  12,711

Relative size of LSCC  N^{r}_{s} =  0.367 944

Diameter  δ =  14

50Percentile effective diameter  δ_{0.5} =  3.817 19

90Percentile effective diameter  δ_{0.9} =  5.229 89

Median distance  δ_{M} =  4

Mean distance  δ_{m} =  4.395 35

Gini coefficient  G =  0.525 062

Balanced inequality ratio  P =  0.306 494

Outdegree balanced inequality ratio  P_{+} =  0.311 838

Indegree balanced inequality ratio  P_{−} =  0.251 510

Relative edge distribution entropy  H_{er} =  0.952 172

Power law exponent  γ =  1.378 28

Tail power law exponent  γ_{t} =  3.041 00

Tail power law exponent with p  γ_{3} =  3.041 00

pvalue  p =  0.000 00

Outdegree tail power law exponent with p  γ_{3,o} =  3.741 00

Outdegree pvalue  p_{o} =  0.176 000

Indegree tail power law exponent with p  γ_{3,i} =  3.071 00

Indegree pvalue  p_{i} =  0.000 00

Degree assortativity  ρ =  −0.006 286 37

Degree assortativity pvalue  p_{ρ} =  8.040 38 × 10^{−9}

In/outdegree correlation  ρ^{±} =  +0.138 861

Clustering coefficient  c =  0.145 657

Directed clustering coefficient  c^{±} =  0.196 720

Spectral norm  α =  76.641 1

Operator 2norm  ν =  57.077 2

Cyclic eigenvalue  π =  5.662 91

Algebraic connectivity  a =  0.046 393 3

Spectral separation  λ_{1}[A] / λ_{2}[A] =  1.049 45

Reciprocity  y =  0.003 221 23

Nonbipartivity  b_{A} =  0.502 827

Normalized nonbipartivity  b_{N} =  0.057 397 4

Algebraic nonbipartivity  χ =  0.102 305

Spectral bipartite frustration  b_{K} =  0.001 045 37

Controllability  C =  8,745

Relative controllability  C_{r} =  0.253 141

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.
