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On the number of symbols that forces a transversal

Published 28 May 2018 in math.CO and cs.DM | (1805.10911v1)

Abstract: Akbari and Alipour conjectured that any Latin array of order $n$ with at least $n2/2$ 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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