Soren Berger

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math.CO2022

Turán density of cliques of order five in $3$ -uniform hypergraphs with quasirandom links

Sören Berger, Simón Piga, Christian Reiher +2

We show that $3$ -uniform hypergraphs with the property that all vertices have a quasirandom link graph with density bigger than $1/3$ contain a clique on five vertices. This result…

math.CO2019

Odd cycles in subgraphs of sparse pseudorandom graphs

Sören Berger, Joonkyung Lee, Mathias Schacht

We answer two extremal questions about odd cycles that naturally arise in the study of sparse pseudorandom graphs. Let $Γ$ be an $(n, d, λ)$ -graph, i.e., $n$ -vertex, $d$ -regular grap…

Turán density of cliques of order five in 3-uniform hypergraphs with quasirandom links

Odd cycles in subgraphs of sparse pseudorandom graphs

Turán density of cliques of order five in $3$ -uniform hypergraphs with quasirandom links