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Counting different discrete structures

M. Rosenfeld

Date of presentation: 10/01/2022
Name of speaker : Matthieu Rosenfeld

Abstract: I will present two of my results and their contexts. First, I will present a proof technique that I obtained that allows to obtain bounds automatically. More precisely, from the definition of a type of vertex set on graphs expressed in a certain logic formalism (monadic second order logic) one can automatically obtain a bound on the number of such sets that can be found in any tree. I will then present another technique that allows to prove the existence of certain discrete objects by counting them. These two results are quite distant, but both rely on counting and on the use of intensive computer calculations to obtain more advanced results.

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