Gnutella (25)
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 25, 2002.
Metadata
Statistics
| Size | n = | 22,687
|
| Volume | m = | 54,705
|
| Loop count | l = | 0
|
| Wedge count | s = | 533,121
|
| Claw count | z = | 2,358,958
|
| Cross count | x = | 10,118,599
|
| Triangle count | t = | 806
|
| Square count | q = | 13,517
|
| 4-Tour count | T4 = | 2,350,030
|
| Maximum degree | dmax = | 66
|
| Maximum outdegree | d+max = | 64
|
| Maximum indegree | d−max = | 36
|
| Average degree | d = | 4.822 59
|
| Fill | p = | 0.000 106 290
|
| Size of LCC | N = | 22,663
|
| Size of LSCC | Ns = | 5,153
|
| Relative size of LSCC | Nrs = | 0.227 134
|
| Diameter | δ = | 11
|
| 50-Percentile effective diameter | δ0.5 = | 5.140 93
|
| 90-Percentile effective diameter | δ0.9 = | 6.548 47
|
| Median distance | δM = | 6
|
| Mean distance | δm = | 5.615 42
|
| Gini coefficient | G = | 0.541 804
|
| Balanced inequality ratio | P = | 0.270 259
|
| Outdegree balanced inequality ratio | P+ = | 0.458 496
|
| Indegree balanced inequality ratio | P− = | 0.338 086
|
| Relative edge distribution entropy | Her = | 0.948 837
|
| Power law exponent | γ = | 1.993 94
|
| Tail power law exponent | γt = | 7.121 00
|
| Tail power law exponent with p | γ3 = | 7.121 00
|
| p-value | p = | 0.129 000
|
| Outdegree tail power law exponent with p | γ3,o = | 2.851 00
|
| Outdegree p-value | po = | 0.682 000
|
| Indegree tail power law exponent with p | γ3,i = | 5.221 00
|
| Indegree p-value | pi = | 0.587 000
|
| Degree assortativity | ρ = | −0.172 839
|
| Degree assortativity p-value | pρ = | 0.000 00
|
| In/outdegree correlation | ρ± = | +0.255 514
|
| Clustering coefficient | c = | 0.004 535 56
|
| Directed clustering coefficient | c± = | 0.004 200 65
|
| Spectral norm | α = | 10.920 0
|
| Operator 2-norm | ν = | 8.542 71
|
| Cyclic eigenvalue | π = | 3.402 93
|
| Algebraic connectivity | a = | 0.054 799 7
|
| Spectral separation | |λ1[A] / λ2[A]| = | 1.174 34
|
| Reciprocity | y = | 0.000 00
|
| Non-bipartivity | bA = | 0.148 457
|
| Normalized non-bipartivity | bN = | 0.028 354 6
|
| Algebraic non-bipartivity | χ = | 0.054 739 1
|
| Spectral bipartite frustration | bK = | 0.002 835 27
|
| Controllability | C = | 16,478
|
| Relative controllability | Cr = | 0.726 319
|
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.
|
KONECT ‣ Networks ‣
Buy Me a Coffee
