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Problems in Ramsey Theory, random graphs and embeddings

Grant number: 19/04375-5
Support type:Scholarships in Brazil - Post-Doctorate
Effective date (Start): June 01, 2019
Field of knowledge:Physical Sciences and Mathematics - Mathematics
Principal researcher:Yoshiharu Kohayakawa
Grantee:Tássio Naia dos Santos
Home Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
Associated research grant:18/04876-1 - Ramsey theory, structural graph theory and applications in Bioinformatics, AP.JP
Associated scholarship(s):20/16570-4 - Problems in Ramsey Theory, random graphs and embeddings, BE.EP.PD


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 the following main themes (a) embedding of spanning oriented graphs in digraphs; (b) Ramsey Theory; and (c) probabilistic graph theory. (AU)

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