Gnutella (06)
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 06, 2002.
Metadata
Statistics
| Size | n = | 8,717
|
| Volume | m = | 31,525
|
| Loop count | l = | 0
|
| Wedge count | s = | 422,567
|
| Claw count | z = | 3,435,901
|
| Cross count | x = | 37,997,204
|
| Triangle count | t = | 1,142
|
| Square count | q = | 90,764
|
| 4-Tour count | T4 = | 2,479,430
|
| Maximum degree | dmax = | 115
|
| Maximum outdegree | d+max = | 113
|
| Maximum indegree | d−max = | 64
|
| Average degree | d = | 7.232 99
|
| Fill | p = | 0.000 414 926
|
| Size of LCC | N = | 8,717
|
| Size of LSCC | Ns = | 3,226
|
| Relative size of LSCC | Nrs = | 0.370 081
|
| Diameter | δ = | 10
|
| 50-Percentile effective diameter | δ0.5 = | 4.239 78
|
| 90-Percentile effective diameter | δ0.9 = | 5.502 86
|
| Median distance | δM = | 5
|
| Mean distance | δm = | 4.708 66
|
| Gini coefficient | G = | 0.479 743
|
| Balanced inequality ratio | P = | 0.319 730
|
| Outdegree balanced inequality ratio | P+ = | 0.447 835
|
| Indegree balanced inequality ratio | P− = | 0.316 987
|
| Relative edge distribution entropy | Her = | 0.955 378
|
| Power law exponent | γ = | 1.673 37
|
| Tail power law exponent | γt = | 4.621 00
|
| Tail power law exponent with p | γ3 = | 4.621 00
|
| p-value | p = | 0.000 00
|
| Outdegree tail power law exponent with p | γ3,o = | 2.621 00
|
| Outdegree p-value | po = | 0.500 000
|
| Indegree tail power law exponent with p | γ3,i = | 3.311 00
|
| Indegree p-value | pi = | 0.018 000 0
|
| Degree assortativity | ρ = | +0.051 569 4
|
| Degree assortativity p-value | pρ = | 2.135 94 × 10−38
|
| In/outdegree correlation | ρ± = | +0.108 984
|
| Clustering coefficient | c = | 0.008 107 59
|
| Directed clustering coefficient | c± = | 0.008 110 16
|
| Spectral norm | α = | 22.377 9
|
| Operator 2-norm | ν = | 19.328 0
|
| Cyclic eigenvalue | π = | 4.739 55
|
| Algebraic connectivity | a = | 0.183 650
|
| Spectral separation | |λ1[A] / λ2[A]| = | 1.166 58
|
| Reciprocity | y = | 0.000 00
|
| Non-bipartivity | bA = | 0.172 952
|
| Normalized non-bipartivity | bN = | 0.120 710
|
| Algebraic non-bipartivity | χ = | 0.183 577
|
| Spectral bipartite frustration | bK = | 0.006 345 13
|
| Controllability | C = | 5,035
|
| Relative controllability | Cr = | 0.577 607
|
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.
|
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