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Counting orientations of random graphs with no directed k-cycles

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Author(s):
Campos, Marcelo ; Collares, Mauricio ; Mota, Guilherme Oliveira
Total Authors: 3
Document type: Journal article
Source: RANDOM STRUCTURES & ALGORITHMS; v. 64, n. 3, p. 16-pg., 2023-11-07.
Abstract

For every k >= 3, we determine the order of growth, up to polylogarithmic factors, of the number of orientations of the binomial random graph containing no directed cycle of length k. This solves a conjecture of Kohayakawa, Morris and the last two authors. (AU)

FAPESP's process: 19/13364-7 - Extremal and structural problems in graph theory
Grantee:Cristina Gomes Fernandes
Support Opportunities: Regular Research Grants
FAPESP's process: 18/04876-1 - Ramsey theory, structural graph theory and applications in Bioinformatics
Grantee:Guilherme Oliveira Mota
Support Opportunities: Research Grants - Young Investigators Grants