Work

Hypergraphs Accumulate

Year: 2024

Type: article

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.

Source: International Mathematics Research Notices

DOI: 10.1093/imrn/rnae289

Authors: David Conlon, Bjarne Schülke

Institutions: California Institute of Technology, Institute for Basic Science

Language: English

Topic: Limits and Structures in Graph Theory

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Science Foundation

Awards: Research in Extremal Combinatorics, Connections in Extremal Combinatorics