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Graph limits and exchangeable random graphs

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arxiv 0712.2749 v1 pith:LF5ZQBPO submitted 2007-12-17 math.PR math.CO

Graph limits and exchangeable random graphs

classification math.PR math.CO
keywords graphexchangeablelimitsworkaldous--hoover--kallenbergalongareaarrays
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We develop a clear connection between deFinetti's theorem for exchangeable arrays (work of Aldous--Hoover--Kallenberg) and the emerging area of graph limits (work of Lovasz and many coauthors). Along the way, we translate the graph theory into more classical probability.

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Cited by 4 Pith papers

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    Dynamic networks can be modeled as decorated graphons whose edge labels are binary time-series laws, estimated by two-stage blockwise least squares with rates depending on the number of time steps and edge-estimator quality.