Gnutella (09)

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 09, 2002.

Metadata

CodeGN
Internal namep2p-Gnutella09
NameGnutella (09)
Data sourcehttp://snap.stanford.edu/data/p2p-Gnutella09.html
AvailabilityDataset is available for download
Consistency checkDataset passed all tests
Category
Computer network
Dataset timestamp 2002-08-09
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 =8,114
Volume m =26,013
Loop count l =0
Wedge count s =411,347
Claw count z =5,474,253
Cross count x =93,769,403
Triangle count t =2,354
Square count q =96,902
4-Tour count T4 =2,472,630
Maximum degree dmax =102
Maximum outdegree d+max =61
Maximum indegree dmax =92
Average degree d =6.411 88
Fill p =0.000 395 161
Size of LCC N =8,104
Size of LSCC Ns =2,624
Relative size of LSCC Nrs =0.323 392
Diameter δ =10
50-Percentile effective diameter δ0.5 =4.367 96
90-Percentile effective diameter δ0.9 =5.701 06
Median distance δM =5
Mean distance δm =4.847 71
Gini coefficient G =0.529 167
Balanced inequality ratio P =0.298 851
Outdegree balanced inequality ratio P+ =0.443 624
Indegree balanced inequality ratio P =0.313 382
Relative edge distribution entropy Her =0.942 194
Power law exponent γ =1.779 96
Tail power law exponent γt =4.731 00
Tail power law exponent with p γ3 =4.731 00
p-value p =0.000 00
Outdegree tail power law exponent with p γ3,o =2.591 00
Outdegree p-value po =0.125 000
Indegree tail power law exponent with p γ3,i =2.901 00
Indegree p-value pi =0.000 00
Degree assortativity ρ =+0.033 224 1
Degree assortativity p-value pρ =3.453 89 × 10−14
In/outdegree correlation ρ± =+0.167 968
Clustering coefficient c =0.017 168 0
Directed clustering coefficient c± =0.021 210 0
Spectral norm α =28.451 4
Operator 2-norm ν =24.865 4
Cyclic eigenvalue π =4.536 06
Algebraic connectivity a =0.068 316 9
Reciprocity y =0.000 00
Non-bipartivity bA =0.225 136
Normalized non-bipartivity bN =0.035 143 9
Algebraic non-bipartivity χ =0.068 085 9
Spectral bipartite frustration bK =0.002 651 92

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

Double Laplacian graph drawing

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.