Combinatorial theorems in sparse random sets

We develop a new technique that allows us to show in a unified way that many well-known combinatorial theorems, including Turán’s theorem, Szemerédi’s theorem and Ramsey’s theorem, hold almost surely inside sparse random sets. For instance, we extend Turán’s theorem to the random setting by showing...

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Bibliografische gegevens
Hoofdauteurs: Conlon, D, Gowers, W
Formaat: Journal article
Gepubliceerd in: Princeton University, Department of Mathematics 2016