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• W2986160520 abstract "A Latin array is a matrix of symbols in which no symbol occurs more than once within a row or within a column. A diagonal of an $ntimes n$ array is a selection of $n$ cells taken from different rows and columns of the array. The weight of a diagonal is the number of different symbols on it. We show via computation that every Latin array of order $nle11$ has a diagonal of weight at least $n-1$. A corollary is the existence of near transversals in Latin squares of these orders. More generally, for all $kle20$ we compute a lower bound on the order of any Latin array that does not have a diagonal of weight at least $n-k$." @default.
• W2986160520 created "2019-11-22" @default.
• W2986160520 creator A5014443491 @default.
• W2986160520 creator A5019627457 @default.
• W2986160520 creator A5033250524 @default.
• W2986160520 date "2019-11-14" @default.
• W2986160520 modified "2023-09-27" @default.
• W2986160520 title "Small Latin arrays have a near transversal" @default.
• W2986160520 cites W128394398 @default.
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• W2986160520 hasPublicationYear "2019" @default.
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