Year: 2026
Type: preprint
Abstract: The Erdős--Rado sunflower conjecture asserts that, for every fixed integer $r\ge 3$, there is a constant $K(r)$ such that every $\ell$-uniform family with more than $K(r)^{\ell}$ members contains an $r$-sunflower. We prove this conjecture for families of bounded VC-dimension.
Source: arXiv (Cornell University)
Institutions: Capital Normal University, Sichuan University, Zhejiang University
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Awards: G6986791740, G7911984978, G8767745028
OpenAlex ID: W7213505486