Anti-Ramsey properties: finding monochromatic copies

• Grant number: 19/02087-2
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: March 01, 2019
• End date: November 30, 2020
• Field of knowledge: Physical Sciences and Mathematics - Computer Science - Computational Mathematics
• Principal Investigator: Guilherme Oliveira Mota
• Grantee: Artur Henrique Allen Santos
• Host Institution: Centro de Matemática, Computação e Cognição (CMCC). Universidade Federal do ABC (UFABC). Ministério da Educação (Brasil). Santo André , SP, Brazil
• Associated research grant: 18/04876-1 - Ramsey theory, structural graph theory and applications in Bioinformatics, AP.JP

Abstract

This research project has two main objectives. The first of these objectives is to understand the main points that guide the area of random graphs, and the second is to investigate recent results related to obtaining 1-statements for anti-Ramsey properties in random graphs. This work will involve the study of chapters of books about random graphs, which will allow the student to obtain a solid knowledge in the area, and the study of recent scientific articles, which will ensure that the student has a deep training on current research topics. Thus, at the end of this project the student can join a masters already having a specific preparation on the related topics.