US patents
This is the citation network of patents registered with the United States
Patent and Trademark Office. Each node is a patent, and a directed edge
represents a patent and an edge represents a citation. The network does not
contain loops, i.e., self-citations, and is acyclic.
Metadata
Statistics
| Size | n = | 3,774,768
|
| Volume | m = | 16,518,947
|
| Loop count | l = | 0
|
| Wedge count | s = | 335,781,273
|
| Claw count | z = | 6,803,403,509
|
| Cross count | x = | 387,506,408,979
|
| Triangle count | t = | 7,515,023
|
| Square count | q = | 341,906,226
|
| 4-Tour count | T4 = | 4,111,412,794
|
| Maximum degree | dmax = | 793
|
| Maximum outdegree | d+max = | 770
|
| Maximum indegree | d−max = | 779
|
| Average degree | d = | 8.752 30
|
| Fill | p = | 1.159 32 × 10−6
|
| Size of LCC | N = | 3,764,117
|
| Size of LSCC | Ns = | 1
|
| Relative size of LSCC | Nrs = | 2.649 17 × 10−7
|
| Diameter | δ = | 26
|
| 50-Percentile effective diameter | δ0.5 = | 7.708 80
|
| 90-Percentile effective diameter | δ0.9 = | 9.482 76
|
| Median distance | δM = | 8
|
| Mean distance | δm = | 8.244 90
|
| Gini coefficient | G = | 0.516 094
|
| Balanced inequality ratio | P = | 0.308 714
|
| Outdegree balanced inequality ratio | P+ = | 0.343 822
|
| Indegree balanced inequality ratio | P− = | 0.299 293
|
| Relative edge distribution entropy | Her = | 0.968 856
|
| Power law exponent | γ = | 1.608 72
|
| Tail power law exponent | γt = | 4.001 00
|
| Tail power law exponent with p | γ3 = | 4.001 00
|
| p-value | p = | 0.000 00
|
| Outdegree tail power law exponent with p | γ3,o = | 3.431 00
|
| Outdegree p-value | po = | 0.001 000 00
|
| Indegree tail power law exponent with p | γ3,i = | 4.071 00
|
| Indegree p-value | pi = | 0.000 00
|
| Degree assortativity | ρ = | +0.167 679
|
| Degree assortativity p-value | pρ = | 0.000 00
|
| In/outdegree correlation | ρ± = | −0.005 313 60
|
| Clustering coefficient | c = | 0.067 142 1
|
| Directed clustering coefficient | c± = | 0.091 476 0
|
| Spectral norm | α = | 113.040
|
| Operator 2-norm | ν = | 112.215
|
| Reciprocity | y = | 0.000 00
|
| Non-bipartivity | bA = | 0.013 644 5
|
| Normalized non-bipartivity | bN = | 0.008 306 86
|
| Spectral bipartite frustration | bK = | 0.000 451 120
|
| Controllability | C = | 1,798,279
|
| Relative controllability | Cr = | 0.476 395
|
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]
|
Bronwyn H. Hall, Adam B. Jaffe, and Manuel Trajtenberg.
The NBER patent citations data file: Lessons, insights and
methodological tools.
In NBER Working Papers 8498, Natl. Bureau of Economic
Research, Inc, 2001.
|
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