Year: 2026
Type: preprint
Abstract: We prove that the uniform Turán density of $K_4^{(3)}$ is equal to $1/2$. Kielak, Král', Lamaison, Liu, Shu, and Wu have recently proved the same result using combinatorial methods, while our proof is Fourier-analytic. This result answers a question of Erdős and Sós from the founding 1982 paper on this topic.
Source: arXiv (Cornell University)
Author: Bucić, Matija
Institution: University of Vienna
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7212235504