Hypergraphs with minimum positive uniform Turan density
| Authors | |
|---|---|
| Year of publication | 2024 |
| Type | Article in Periodical |
| Magazine / Source | Israel Journal of Mathematics |
| MU Faculty or unit | |
| Citation | |
| web | https://doi.org/10.1007/s11856-023-2554-0 |
| Doi | http://dx.doi.org/10.1007/s11856-023-2554-0 |
| Keywords | hypergraphs; extremal combinatorics |
| Description | 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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