Mathias Schacht

collaborators

4 papers

math.CO2024

Canonical Ramsey numbers for partite hypergraphs

Matías Azócar Carvajal, Giovanne Santos, Mathias Schacht

We show that canonical Ramsey numbers for partite hypergraphs grow single exponentially for any fixed uniformity.

math.CO2024

The codegree Turán density of $3$ -uniform tight cycles

Simón Piga, Nicolás Sanhueza-Matamala, Mathias Schacht

Given any $ε > 0$ we prove that every sufficiently large $n$ -vertex $3$ -graph $H$ where every pair of vertices is contained in at least $(1/3 + ε) n$ edges contains…

math.CO2024

Tight Hamiltonicity from dense links of triples

Richard Lang, Mathias Schacht, Jan Volec

We show that for all $k \geq 4$ , $ε > 0$ , and $n$ sufficiently large, every $k$ -uniform hypergraph on $n$ vertices in which each set of $k - 3$ vertices is contained in at le…

math.CO2023

Ramsey properties of randomly perturbed hypergraphs

Elad Aigner-Horev, Dan Hefetz, Mathias Schacht

We study Ramsey properties of randomly perturbed $3$ -uniform hypergraphs. For~ $t \geq 2$ , write $K ~_{t}^{(3)}$ to denote the $3$ -uniform {\it expanded} clique hypergraph obtaine…

Canonical Ramsey numbers for partite hypergraphs

The codegree Turán density of 3-uniform tight cycles

Tight Hamiltonicity from dense links of triples

Ramsey properties of randomly perturbed hypergraphs

The codegree Turán density of $3$ -uniform tight cycles