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
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

4Tour count  T_{4} =  2,472,630

Maximum degree  d_{max} =  102

Maximum outdegree  d^{+}_{max} =  61

Maximum indegree  d^{−}_{max} =  92

Average degree  d =  6.411 88

Fill  p =  0.000 395 161

Size of LCC  N =  8,104

Size of LSCC  N_{s} =  2,624

Relative size of LSCC  N^{r}_{s} =  0.323 392

Diameter  δ =  10

50Percentile effective diameter  δ_{0.5} =  4.367 96

90Percentile effective diameter  δ_{0.9} =  5.701 06

Median distance  δ_{M} =  5

Mean distance  δ_{m} =  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  H_{er} =  0.942 194

Power law exponent  γ =  1.779 96

Tail power law exponent  γ_{t} =  4.731 00

Tail power law exponent with p  γ_{3} =  4.731 00

pvalue  p =  0.000 00

Outdegree tail power law exponent with p  γ_{3,o} =  2.591 00

Outdegree pvalue  p_{o} =  0.125 000

Indegree tail power law exponent with p  γ_{3,i} =  2.901 00

Indegree pvalue  p_{i} =  0.000 00

Degree assortativity  ρ =  +0.033 224 1

Degree assortativity pvalue  p_{ρ} =  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 2norm  ν =  24.865 4

Cyclic eigenvalue  π =  4.536 06

Algebraic connectivity  a =  0.068 316 9

Reciprocity  y =  0.000 00

Nonbipartivity  b_{A} =  0.225 136

Normalized nonbipartivity  b_{N} =  0.035 143 9

Algebraic nonbipartivity  χ =  0.068 085 9

Spectral bipartite frustration  b_{K} =  0.002 651 92

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 largescale
peertopeer systems and implications for system design.
IEEE Internet Comput. J., 6, 2002.
