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arXiv · 0809.2335

Infinite paths and cliques in random graphs

A. Berarducci·P. Majer·M. Novaga
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Abstract

We study some percolation problems on the complete graph over $\mathbf N$. 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, such as independency, is made. The main tools are a topological version of Ramsey theory, exchangeability theory and elementary ergodic theory.

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A. Berarducci, P. Majer, M. Novaga. 2011-03-27. Infinite paths and cliques in random graphs. https://arxiv.org/abs/0809.2335

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