Publication details
Hypergraphs with Minimum Positive Uniform Turán Density
| Authors | |
|---|---|
| Year of publication | 2021 |
| Type | Article in Proceedings |
| Conference | Trends in Mathematics, Volume 14, Extended Abstracts of EuroComb 2021, European Conference on Combinatorics, Graph Theory and Applications |
| MU Faculty or unit | |
| Citation | |
| Doi | http://dx.doi.org/10.1007/978-3-030-83823-2_24 |
| Keywords | extremal combinatorics; Turán density; uniform Turán density |
| Description | Reiher, Rödl and Schacht [J. London Math. Soc. 97 (2018), 77–97] 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 Turán density equal or arbitrarily close to 1/27. We construct 3-uniform hypergraphs with uniform Turán density equal to 1/27. |