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Research notes on every problem, and a library of the papers behind them. Built from the open erdos repository.

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1981_03_01_ajtai_komlos_szemeredi: Theorem 2 of Ajtai, Komlós and Szemerédi (Combinatorica 1981) gives a path of length c(β)n almost surely in the uniform random graph with βn edges, β above one half; accepted on the refereed publication and the site's credit.