Hypergraphs with minimum positive uniform Turan density
| Autoři | |
|---|---|
| Rok publikování | 2024 |
| Druh | Článek v odborném periodiku |
| Časopis / Zdroj | Israel Journal of Mathematics |
| Fakulta / Pracoviště MU | |
| Citace | |
| www | https://doi.org/10.1007/s11856-023-2554-0 |
| Doi | http://dx.doi.org/10.1007/s11856-023-2554-0 |
| Klíčová slova | hypergraphs; extremal combinatorics |
| Popis | Reiher, Rödl and Schacht showed that the uniform Turán density of every 3-uniform hypergraph is either 0 or at least 1/27, and asked whether there exist 3-uniform hypergraphs with uniform Turan density equal or arbitrarily close to 1/27. We construct 3-uniform hypergraphs with uniform Turán density equal to 1/27. |
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