Abstract
This is the research project for the postdoctoral fellowship of Lucas Colucci Cavalcante de Souza, to be undertaken under the supervision ofY.Kohayakawa, at the Instituto de Matemática e Estatística,USP, from 14/09/2020 to 13/09/2022. In this project, the following topics on edge-colorings of graphs will be addressed: (1) coloring modulo~$k$; (2) coloring without monochromatic subgraphs;(…