Gnutella (24)

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 24, 2002.

Metadata

CodeGN
Internal namep2p-Gnutella24
NameGnutella (24)
Data sourcehttp://snap.stanford.edu/data/p2p-Gnutella24.html
AvailabilityDataset is available for download
Consistency checkDataset passed all tests
Category
Computer network
Dataset timestamp 2002-08-24
Node meaningHost
Edge meaningConnection
Network formatUnipartite, directed
Edge typeUnweighted, no multiple edges
ReciprocalDoes not contain reciprocal edges
Directed cyclesContains directed cycles
LoopsDoes not contain loops

Statistics

Size n =26,518
Volume m =65,369
Loop count l =0
Wedge count s =721,206
Claw count z =10,489,472
Cross count x =665,822,688
Triangle count t =986
Square count q =8,794
4-Tour count T4 =3,085,914
Maximum degree dmax =355
Maximum outdegree d+max =79
Maximum indegree dmax =355
Average degree d =4.930 16
Fill p =9.296 23 × 10−5
Size of LCC N =26,498
Size of LSCC Ns =6,352
Relative size of LSCC Nrs =0.239 535
Diameter δ =11
50-Percentile effective diameter δ0.5 =5.094 74
90-Percentile effective diameter δ0.9 =6.320 12
Median distance δM =6
Mean distance δm =5.531 11
Gini coefficient G =0.546 890
Balanced inequality ratio P =0.272 759
Outdegree balanced inequality ratio P+ =0.449 326
Indegree balanced inequality ratio P =0.333 384
Relative edge distribution entropy Her =0.948 052
Power law exponent γ =1.985 92
Tail power law exponent γt =6.271 00
Tail power law exponent with p γ3 =6.271 00
p-value p =0.000 00
Outdegree tail power law exponent with p γ3,o =2.571 00
Outdegree p-value po =0.058 000 0
Indegree tail power law exponent with p γ3,i =5.121 00
Indegree p-value pi =0.159 000
Degree assortativity ρ =−0.007 728 27
Degree assortativity p-value pρ =0.005 199 95
In/outdegree correlation ρ± =+0.292 007
Clustering coefficient c =0.004 101 46
Directed clustering coefficient c± =0.004 049 56
Spectral norm α =19.585 1
Operator 2-norm ν =19.116 0
Cyclic eigenvalue π =3.545 78
Algebraic connectivity a =0.122 096
Spectral separation 1[A] / λ2[A]| =1.027 03
Reciprocity y =0.000 00
Normalized non-bipartivity bN =0.065 985 4
Controllability C =18,965
Relative controllability Cr =0.715 175

Plots

Fruchterman–Reingold graph drawing

Degree distribution

Cumulative degree distribution

Lorenz curve

Spectral distribution of the adjacency matrix

Spectral distribution of the normalized adjacency matrix

Spectral distribution of the Laplacian

Spectral graph drawing based on the adjacency matrix

Spectral graph drawing based on the Laplacian

Spectral graph drawing based on the normalized adjacency matrix

Degree assortativity

Zipf plot

Hop distribution

Delaunay graph drawing

In/outdegree scatter plot

Clustering coefficient distribution

Average neighbor degree distribution

SynGraphy

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.