Turán density of cliques of order five in $3$-uniform hypergraphs with quasirandom links
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arXiv
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| Hauptverfasser: | , , , , |
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| Format: | Preprint |
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2022
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| _version_ | 1866929279692963840 |
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| author | Berger, Sören Piga, Simón Reiher, Christian Rödl, Vojtěch Schacht, Mathias |
| author_facet | Berger, Sören Piga, Simón Reiher, Christian Rödl, Vojtěch Schacht, Mathias |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2206_07354 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Turán density of cliques of order five in $3$-uniform hypergraphs with quasirandom links Berger, Sören Piga, Simón Reiher, Christian Rödl, Vojtěch Schacht, Mathias Combinatorics 05C35, 05C65, 05C80 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. |
| title | Turán density of cliques of order five in $3$-uniform hypergraphs with quasirandom links |
| topic | Combinatorics 05C35, 05C65, 05C80 |
| url | https://arxiv.org/abs/2206.07354 |