Author

Thomas Lesgourgues

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Preprint Sep 2026

A Combinatorial Proof of Hilton's Conjecture and Beyond

Using refined absorption, we prove that for every integer $g\ge 1$ and real $\gamma>0$, and for sufficiently large $n$, there exists an $n^{-1+\gamma}$-spread distribution on Latin squares of order $n$ and girth at least $g$ that have no proper subsquares. This implies a combinatorial proof of Hilton's conjecture from...

Thomas Lesgourgues, Luke Postle · 0 citations