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Displaying similar documents to “On exchangeable random variables and the statistics of large graphs and hypergraphs.”

Encores on cores.

Cain, Julie, Wormald, Nicholas (2006)

The Electronic Journal of Combinatorics [electronic only]

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Random even graphs.

Grimmett, Geoffrey, Janson, Svante (2009)

The Electronic Journal of Combinatorics [electronic only]

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Infinite paths and cliques in random graphs

Alessandro Berarducci, Pietro Majer, Matteo Novaga (2012)

Fundamenta Mathematicae

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We study the thresholds for the emergence of various properties in random subgraphs of (ℕ, <). In particular, we give sharp sufficient conditions for the existence of (finite or infinite) cliques and paths in a random subgraph. No specific assumption on the probability is made. The main tools are a topological version of Ramsey theory, exchangeability theory and elementary ergodic theory.