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math.CO2025
Ramsey numbers of digraphs with local edge structure
Domagoj Bradač, Patryk Morawski, Benny Sudakov +1
One of the classical topics in graph Ramsey theory is the study of which -vertex graphs have Ramsey numbers that are linear in . In this paper, we consider this problem in th…
math.CO2025
Hamilton cycles in regular graphs perturbed by a random 2-factor
Cicely, Henderson, Sean Longbrake +2
In this paper, we prove that for each , the union of a -regular graph with a uniformly random -factor on the same vertex set is Hamiltonian with high probability. T…