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Bibliographic Details
Main Authors: Lang, Richard, Schacht, Mathias, Volec, Jan
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2403.14518
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Table of Contents:
  • We show that for all $k\geq 4$, $\varepsilon >0$, and $n$ sufficiently large, every $k$-uniform hypergraph on $n$ vertices in which each set of $k-3$ vertices is contained in at least $(5/8 + \varepsilon) \binom{n}{3}$ edges contains a tight Hamilton cycle. This is asymptotically best possible.