Hypergraphs Accumulate
Abstract We showthat for every integer $k\geqslant 3$ the set of Turán densities of $k$-uniform hypergraphs has an accumulation point in $[0,1)$. In particular, $1/2$ is an accumulation point for the set of Turán densities of $3$-uniform hypergraphs.
Authors
- David Conlon (ORCID: https://orcid.org/0000-0001-5899-1829)
- Bjarne Schülke (ORCID: https://orcid.org/0000-0003-1621-4030)
Institutions
- California Institute of Technology (US)
- Institute for Basic Science (KR)
Publication Details
- Journal
- International Mathematics Research Notices
- Published
- 2024-12-29
- DOI
- https://doi.org/10.1093/imrn/rnae289
- Citations
- 2
- Primary Topic
- Limits and Structures in Graph Theory
- Type
- article
- Field-Weighted Citation Impact
- 2.64
Funders
- National Science Foundation