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math.CO2024
When are off-diagonal hypergraph Ramsey numbers polynomial?
David Conlon, Jacob Fox, Benjamin Gunby +5
A natural open problem in Ramsey theory is to determine those -graphs for which the off-diagonal Ramsey number grows polynomially with . We make substan…
math.CO2017
Asymptotics of Pattern Avoidance in the Klazar Set Partition and Permutation-Tuple Settings
Benjamin Gunby, Dömötör Pálvölgyi
We consider asymptotics of set partition pattern avoidance in the sense of Klazar. Our main result derives the asymptotics of the number of set partitions avoiding a given set part…
math.CO2013★ 1 cited
The Dyck pattern poset
Antonio Bernini, Luca Ferrari, Renzo Pinzani +1
We introduce the notion of pattern in the context of lattice paths, and investigate it in the specific case of Dyck paths. Similarly to the case of permutations, the pattern-contai…