Google+ (IMC12)
This bipartite network contains a snapshot of the Google+ social structure.
Left nodes represent users and right nodes represent attributes. An edge links
a user to a attribute which he may share with other users.
Metadata
Statistics
Size | n = | 10,442,421
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Left size | n1 = | 5,998,790
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Right size | n2 = | 4,443,631
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Volume | m = | 20,592,962
|
Wedge count | s = | 31,413,709,466
|
Claw count | z = | 310,331,918,210,903
|
Cross count | x = | 4,592,753,920,185,512,448
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Maximum degree | dmax = | 95,165
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Maximum left degree | d1max = | 423
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Maximum right degree | d2max = | 95,165
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Average degree | d = | 3.944 10
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Average left degree | d1 = | 3.432 85
|
Average right degree | d2 = | 4.634 26
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Fill | p = | 7.725 33 × 10−7
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Size of LCC | N = | 9,363,023
|
Diameter | δ = | 24
|
50-Percentile effective diameter | δ0.5 = | 5.482 73
|
90-Percentile effective diameter | δ0.9 = | 7.315 80
|
Median distance | δM = | 6
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Mean distance | δm = | 6.046 39
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Gini coefficient | G = | 0.579 175
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Balanced inequality ratio | P = | 0.290 747
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Left balanced inequality ratio | P1 = | 0.342 269
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Right balanced inequality ratio | P2 = | 0.181 707
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Relative edge distribution entropy | Her = | 0.893 300
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Power law exponent | γ = | 2.492 22
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Tail power law exponent | γt = | 1.961 00
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Degree assortativity | ρ = | −0.017 463 1
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Degree assortativity p-value | pρ = | 0.000 00
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Spectral norm | α = | 309.460
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Spectral separation | |λ1[A] / λ2[A]| = | 1.316 52
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Controllability | C = | 4,592,127
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Relative controllability | Cr = | 0.439 757
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Plots
Downloads
References
[1]
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Jérôme Kunegis.
KONECT – The Koblenz Network Collection.
In Proc. Int. Conf. on World Wide Web Companion, pages
1343–1350, 2013.
[ http ]
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[2]
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Neil Zhenqiang Gong, Wenchang Xu, Ling Huang, Prateek Mittal, Emil Stefanov,
Vyas Sekar, and Dawn Song.
Evolution of social-attribute networks: Measurements, modeling, and
implications using Google+.
In Proc. Internet Measurement Conf., pages 131–144, 2012.
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