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arXiv · 1805.10911

On the number of symbols that forces a transversal

Peter Keevash·Liana Yepremyan
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Abstract

Akbari and Alipour conjectured that any Latin array of order $n$ with at least $n^2/2$ symbols contains a transversal. We confirm this conjecture for large $n$, and moreover, we show that $n^{399/200}$ symbols suffice.

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Peter Keevash, Liana Yepremyan. 2018-05-28. On the number of symbols that forces a transversal. https://doi.org/10.1017/s0963548319000282

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