Abstract
This is the project for the PhD of Paulo Matias da Silva Junior supervised by Professor Guilherme Oliveira Mota, at the Centro de Matemática, Computação e Cognição, UFABC, from 11/2/2019 to 10/8/2022 (3 and a half years, including an internship of six months abroad). This project focuses on the study of Ramsey, anti-Ramsey and size-Ramsey properties of random and deterministic graphs. The…