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arXiv · 2206.07354

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

Sören Berger·Simón Piga·Christian Reiher·Vojtěch Rödl·Mathias Schacht
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Abstract

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 is asymptotically best possible.

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Sören Berger, Simón Piga, Christian Reiher, Vojtěch Rödl, Mathias Schacht. 2024-03-17. Turán density of cliques of order five in $3$-uniform hypergraphs with quasirandom links. https://arxiv.org/abs/2206.07354

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