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arxiv: 0712.2749 · v1 · submitted 2007-12-17 · 🧮 math.PR · math.CO

Graph limits and exchangeable random graphs

classification 🧮 math.PR math.CO
keywords graphexchangeablelimitsworkaldous--hoover--kallenbergalongareaarrays
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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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