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
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 | d−max = | 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 = | 0.176 000
|
| 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
|
| Directed clustering coefficient | c± = | 0.196 720
|
| 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 | |λ1[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
|
| Algebraic non-bipartivity | χ = | 0.102 305
|
| Spectral bipartite frustration | bK = | 0.001 045 37
|
| Controllability | C = | 8,745
|
| Relative controllability | Cr = | 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.
|
KONECT ‣ Networks ‣
Buy Me a Coffee
