Gnutella (08)
This is a network of Gnutella hosts from 2002. The nodes represent Gnutella
hosts, and the directed edges represent connections between them. The dataset
is from August 08, 2002.
Metadata
Statistics
Size | n = | 6,301
|
Volume | m = | 20,777
|
Loop count | l = | 0
|
Wedge count | s = | 346,033
|
Claw count | z = | 4,859,306
|
Cross count | x = | 82,247,965
|
Triangle count | t = | 2,383
|
Square count | q = | 87,885
|
4-Tour count | T4 = | 2,128,766
|
Maximum degree | dmax = | 97
|
Maximum outdegree | d+max = | 48
|
Maximum indegree | d−max = | 91
|
Average degree | d = | 6.594 83
|
Fill | p = | 0.000 523 399
|
Size of LCC | N = | 6,299
|
Size of LSCC | Ns = | 2,068
|
Relative size of LSCC | Nrs = | 0.328 202
|
Diameter | δ = | 9
|
50-Percentile effective diameter | δ0.5 = | 4.239 68
|
90-Percentile effective diameter | δ0.9 = | 5.505 27
|
Median distance | δM = | 5
|
Mean distance | δm = | 4.698 13
|
Gini coefficient | G = | 0.524 081
|
Balanced inequality ratio | P = | 0.301 800
|
Outdegree balanced inequality ratio | P+ = | 0.449 439
|
Indegree balanced inequality ratio | P− = | 0.312 798
|
Relative edge distribution entropy | Her = | 0.940 926
|
Power law exponent | γ = | 1.753 74
|
Tail power law exponent | γt = | 4.741 00
|
Tail power law exponent with p | γ3 = | 4.741 00
|
p-value | p = | 0.000 00
|
Outdegree tail power law exponent with p | γ3,o = | 3.251 00
|
Outdegree p-value | po = | 0.314 000
|
Indegree tail power law exponent with p | γ3,i = | 2.841 00
|
Indegree p-value | pi = | 0.000 00
|
Degree assortativity | ρ = | +0.035 550 4
|
Degree assortativity p-value | pρ = | 4.200 30 × 10−13
|
In/outdegree correlation | ρ± = | +0.139 852
|
Clustering coefficient | c = | 0.020 659 9
|
Directed clustering coefficient | c± = | 0.024 736 2
|
Spectral norm | α = | 28.375 5
|
Operator 2-norm | ν = | 23.950 8
|
Cyclic eigenvalue | π = | 5.119 29
|
Algebraic connectivity | a = | 0.073 895 5
|
Spectral separation | |λ1[A] / λ2[A]| = | 1.382 34
|
Reciprocity | y = | 0.000 00
|
Non-bipartivity | bA = | 0.276 591
|
Normalized non-bipartivity | bN = | 0.040 345 9
|
Algebraic non-bipartivity | χ = | 0.073 763 8
|
Spectral bipartite frustration | bK = | 0.002 795 52
|
Controllability | C = | 4,107
|
Relative controllability | Cr = | 0.651 801
|
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]
|
Matei Ripeanu, Ian Foster, and Adriana Iamnitchi.
Mapping the Gnutella network: Properties of large-scale
peer-to-peer systems and implications for system design.
IEEE Internet Comput. J., 6, 2002.
|