Infinite combinatorics and combinatorical games

• Grant number: 19/22344-0
• Support Opportunities: Regular Research Grants
• Start date: May 01, 2020
• End date: August 31, 2022
• Field of knowledge: Physical Sciences and Mathematics - Mathematics
• Principal Investigator: Leandro Fiorini Aurichi
• Grantee: Leandro Fiorini Aurichi
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• City of the host institution: São Carlos

Abstract

It is not uncommon in mathematics that solutions of problems have some combinatorical step - even when the problem's statement does not indicate such connection. It is also not uncommon that problems of combinatorical nature to have in their solution some tool of another field - as topology or set theory. This project aims the study of several problems that have some kind of connection with combinatorics. Among the combinatorial tools that are going to be used, combinatorical games is the main one. (AU)

Scientific publications

(The scientific publications listed on this page originate from the Web of Science or SciELO databases. Their authors have cited FAPESP grant or fellowship project numbers awarded to Principal Investigators or Fellowship Recipients, whether or not they are among the authors. This information is collected automatically and retrieved directly from those bibliometric databases.)

AURICHI, LEANDRO FIORINI; REAL, LUCAS SILVA SINZATO. Unfriendly partitions when avoiding vertices of finite degree. JOURNAL OF LOGIC AND COMPUTATION, v. N/A, p. 8-pg., 2023-11-21. (19/22344-0, 23/00595-6, 21/13373-6)

AURICHI, LEANDRO F.; JUNQUEIRA, LUCIA R.; MEZABARBA, RENAN M.. A CHARACTERIZATION OF PRODUCTIVE CELLULARITY. Proceedings of the American Mathematical Society, v. 150, n. 5, p. 9-pg., 2022-05-01. (17/09252-3, 19/22344-0)