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Lower bounds on geometric Ramsey functions

Algebra & Discrete Mathematics

Speaker: Dr. Edgardo Roldan Pensado, CINNMA- Universidad de Queretaro
Location: 2112 MSB
Start time: Mon, Mar 31 2014, 12:10PM

We study Ramsey restricted to the case of geometric colourings, in this case the upper bounds are significantly smaller than in the purely combinatorial case. Almost matching lower bounds were constructed by Conlon et al. We simplify their example to a more natural one which has some interesting applications.