Abstract
This is the research proposal for the post-doctoral fellowship of Tássio Naia dos Santos, to be pursued under the supervision of Yoshiharu Kohayakawa, at the Instituto de Matemática e Estatística, Universidade de São Paulo, from 1/5/2019 to 31/4/2021. This proposal is focused on attaining significant advances in several problems in extremal and probabilistic combinatorics. This includes t…