Gnutella (04)

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 04, 2002.

Metadata

CodeGN
Internal namep2p-Gnutella04
NameGnutella (04)
Data sourcehttp://snap.stanford.edu/data/p2p-Gnutella04.html
AvailabilityDataset is available for download
Consistency checkDataset passed all tests
Category
Computer network
Dataset timestamp 2002-08-04
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 =10,876
Volume m =39,994
Loop count l =0
Wedge count s =518,694
Claw count z =3,455,588
Cross count x =28,430,866
Triangle count t =934
Square count q =28,497
4-Tour count T4 =2,382,740
Maximum degree dmax =103
Maximum outdegree d+max =100
Maximum indegree dmax =72
Average degree d =7.354 54
Fill p =0.000 338 140
Size of LCC N =10,876
Size of LSCC Ns =4,317
Relative size of LSCC Nrs =0.396 929
Diameter δ =10
50-Percentile effective diameter δ0.5 =4.245 41
90-Percentile effective diameter δ0.9 =5.476 31
Median distance δM =5
Mean distance δm =4.709 38
Gini coefficient G =0.480 592
Balanced inequality ratio P =0.319 510
Outdegree balanced inequality ratio P+ =0.439 441
Indegree balanced inequality ratio P =0.319 473
Relative edge distribution entropy Her =0.957 184
Power law exponent γ =1.668 00
Tail power law exponent γt =4.581 00
Tail power law exponent with p γ3 =4.581 00
p-value p =0.000 00
Outdegree tail power law exponent with p γ3,o =2.931 00
Outdegree p-value po =0.380 000
Indegree tail power law exponent with p γ3,i =3.401 00
Indegree p-value pi =0.592 000
Degree assortativity ρ =−0.013 168 6
Degree assortativity p-value pρ =0.000 195 734
In/outdegree correlation ρ± =+0.170 840
Clustering coefficient c =0.005 402 03
Directed clustering coefficient c± =0.004 999 17
Spectral norm α =17.079 4
Operator 2-norm ν =15.413 4
Algebraic connectivity a =0.040 828 2
Reciprocity y =0.000 00
Non-bipartivity bA =0.080 574 4
Normalized non-bipartivity bN =0.021 890 1
Algebraic non-bipartivity χ =0.040 791 0
Spectral bipartite frustration bK =0.001 386 59
Controllability C =6,014
Relative controllability Cr =0.552 961

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.