arXiv hep-ph

This is the network of publications in the arXiv's High Energy Physics – Phenomenology (hep-ph) section. The directed links that connect the publications are citations. Some publications cite themselves, and therefore the network contains loops.

Metadata

CodePHc
Internal namecit-HepPh
NamearXiv hep-ph
Data sourcehttp://snap.stanford.edu/data/cit-HepPh.html
AvailabilityDataset is available for download
Consistency checkDataset passed all tests
Category
Citation network
Node meaningPublication
Edge meaningCitation
Network formatUnipartite, directed
Edge typeUnweighted, no multiple edges
ReciprocalContains reciprocal edges
Directed cyclesContains directed cycles
LoopsContains loops

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
4-Tour count T4 =418,161,514
Maximum degree dmax =846
Maximum outdegree d+max =411
Maximum indegree dmax =846
Average degree d =24.406 8
Fill p =0.000 353 250
Size of LCC N =34,401
Size of LSCC Ns =12,711
Relative size of LSCC Nrs =0.367 944
Diameter δ =14
50-Percentile effective diameter δ0.5 =3.817 19
90-Percentile effective diameter δ0.9 =5.229 89
Median distance δM =4
Mean distance δm =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 Her =0.952 172
Power law exponent γ =1.378 28
Tail power law exponent γt =3.041 00
Tail power law exponent with p γ3 =3.041 00
p-value p =0.000 00
Outdegree tail power law exponent with p γ3,o =3.741 00
Outdegree p-value po =0.150 000
Indegree tail power law exponent with p γ3,i =3.071 00
Indegree p-value pi =0.000 00
Degree assortativity ρ =−0.006 286 37
Degree assortativity p-value pρ =8.040 38 × 10−9
In/outdegree correlation ρ± =+0.138 861
Clustering coefficient c =0.145 657
Spectral norm α =76.641 1
Operator 2-norm ν =57.077 2
Cyclic eigenvalue π =5.662 91
Algebraic connectivity a =0.046 393 3
Spectral separation 1[A] / λ2[A]| =1.049 45
Reciprocity y =0.003 221 23
Non-bipartivity bA =0.502 827
Normalized non-bipartivity bN =0.057 397 4
Spectral bipartite frustration bK =0.001 045 37
Controllability C =8,745

Plots

Degree distribution

Cumulative degree distribution

Lorenz curve

Spectral distribution of the adjacency matrix

Spectral distribution of the normalized adjacency matrix

Spectral distribution of the Laplacian

Spectral graph drawing based on the adjacency matrix

Spectral graph drawing based on the Laplacian

Spectral graph drawing based on the normalized adjacency matrix

Degree assortativity

Zipf plot

Hop distribution

Delaunay graph drawing

In/outdegree scatter plot

Clustering coefficient distribution

Average neighbor degree distribution

SynGraphy

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.