Extremal and probabilistic combinatorics

• Grant number: 13/11431-2
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: September 01, 2013
• End date: May 10, 2017
• Field of knowledge: Physical Sciences and Mathematics - Computer Science - Computational Mathematics
• Principal Investigator: Yoshiharu Kohayakawa
• Grantee: Guilherme Oliveira Mota
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated scholarship(s): 13/20733-2 - Extremal and probabilistic combinatorics, BE.EP.PD

Abstract

This is the research project to the postdoc of Guilherme Oliveira Mota, to be developed under the supervision of Y.~Kohayakawa, at the "Instituto de Matemática e Esatística", USP, from 1/9/2013 to 31/8/2015. This project is focused on achieving significant advances in several problems of the area of extremal and probabilistic combinatorics. The subjects of the problems that will be attacked in this postdoc project are the following: 1. embedding of spanning trees in random graphs; 2. Ramsey Theory; 3. regularity in hypergraphs; 4. structure of dense graphs with large girth; 5. Turán type problems.

Scientific publications

(13)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

BASTOS, JOSEFRAN DE OLIVEIRA; MOTA, GUILHERME OLIVEIRA; SCHACHT, MATHIAS; SCHNITZER, JAKOB; SCHULENBURG, FABIAN. LOOSE HAMILTONIAN CYCLES FORCED BY LARGE (k-2)-DEGREE-APPROXIMATE VERSION. SIAM JOURNAL ON DISCRETE MATHEMATICS, v. 31, n. 4, p. 2328-2347, 2017. (13/11431-2, 13/20733-2)

BEDENKNECHT, WIEBKE; MOTA, GUILHERME OLIVEIRA; REIHER, CHRISTIAN; SCHACHT, MATHIAS. On the local density problem for graphs of given odd-girth. JOURNAL OF GRAPH THEORY, v. 90, n. 2, p. 137-149, FEB 2019. (13/03447-6, 13/11431-2, 13/20733-2)

BOTLER, F.; MOTA, G. O.; WAKABAYASHI, Y.. Decompositions of triangle-free 5-regular graphs into paths of length five. DISCRETE MATHEMATICS, v. 338, n. 11, p. 1845-1855, NOV 6 2015. (11/08033-0, 13/11431-2, 14/01460-8, 13/20733-2)

KOHAYAKAWA, Y.; KONSTADINIDIS, P. B.; MOTA, G. O.. On an anti-Ramsey threshold for sparse graphs with one triangle. JOURNAL OF GRAPH THEORY, v. 87, n. 2, p. 176-187, FEB 2018. (09/06294-0, 13/07699-0, 13/20733-2, 13/03447-6, 13/11431-2)

KOHAYAKAWA, YOSHIHARU; MOTA, GUILHERME OLIVEIRA; SCHACHT, MATHIAS; TARAZ, ANUSCH. Counting results for sparse pseudorandom hypergraphs I. EUROPEAN JOURNAL OF COMBINATORICS, v. 65, p. 276-287, OCT 2017. (09/06294-0, 13/07699-0, 13/20733-2, 13/03447-6, 13/11431-2)

KOHAYAKAWA, YOSHIHARU; MOTA, GUILHERME OLIVEIRA; SCHACHT, MATHIAS; TARAZ, ANUSCH. Counting results for sparse pseudorandom hypergraphs II. EUROPEAN JOURNAL OF COMBINATORICS, v. 65, p. 288-301, OCT 2017. (13/03447-6, 13/07699-0, 13/11431-2, 13/20733-2)

BOTLER, F.; MOTA, G. O.; OSHIRO, M. T. I.; WAKABAYASHI, Y.. Decomposing highly edge-connected graphs into paths of any given length. JOURNAL OF COMBINATORIAL THEORY SERIES B, v. 122, p. 508-542, JAN 2017. (13/20733-2, 13/03447-6, 13/11431-2, 11/08033-0, 14/01460-8)

CLEMENS, DENNIS; JENSSEN, MATTHEW; KOHAYAKAWA, YOSHIHARU; MORRISON, NATASHA; MOTA, GUILHERME OLIVEIRA; REDING, DAMIAN; ROBERTS, BARNABY. The size-Ramsey number of powers of paths. JOURNAL OF GRAPH THEORY, v. 91, n. 3, p. 290-299, JUL 2019. (13/11431-2, 18/04876-1, 13/03447-6)

BOTLER, F.; MOTA, G. O.; OSHIRO, M. T. I.; WAKABAYASHI, Y.. Decomposing highly connected graphs into paths of length five. DISCRETE APPLIED MATHEMATICS, v. 245, p. 11-pg., 2018-08-20. (11/08033-0, 13/11431-2, 13/20733-2, 13/03447-6, 14/01460-8)

BOTLER, F.; MOTA, G. O.; OSHIRO, M. T. I.; WAKABAYASHI, Y.. Decomposing highly connected graphs into paths of length five. DISCRETE APPLIED MATHEMATICS, v. 245, n. SI, p. 128-138, AUG 20 2018. (13/20733-2, 13/03447-6, 13/11431-2, 11/08033-0, 14/01460-8)

BOTLER, F.; MOTA, G. O.; OSHIRO, M. T. I.; WAKABAYASHI, Y.. Decomposing regular graphs with prescribed girth into paths of given length. EUROPEAN JOURNAL OF COMBINATORICS, v. 66, p. 28-36, DEC 2017. (13/03447-6, 13/11431-2, 11/08033-0, 14/01460-8, 13/20733-2)

KOHAYAKAWA, YOSHIHARU; MOTA, GUILHERME OLIVEIRA; SCHACHT, MATHIAS. Monochromatic trees in random graphs. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, v. 166, n. 1, p. 191-208, JAN 2019. (13/03447-6, 13/07699-0, 13/11431-2, 13/20733-2)

BASTOS, JOSEFRAN DE OLIVEIRA; MOTA, GUILHERME OLIVEIRA; SCHACHT, MATHIAS; SCHNITZER, JAKOB; SCHULENBURG, FABIAN. LOOSE HAMILTONIAN CYCLES FORCED BY LARGE (k-2)-DEGREE - SHARP VERSION. CONTRIBUTIONS TO DISCRETE MATHEMATICS, v. 13, n. 2, p. 88-100, 2018. (13/11431-2, 18/04876-1, 13/20733-2)