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Decomposing Latin squares into transversals.

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  • UserCandida Bowtell (Birmingham)
  • ClockThursday 06 February 2025, 14:30-15:30
  • HouseMR12.

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A Latin square of order n is an n x n grid filled with n symbols such that each symbol appears exactly once in each row and column. A transversal in a Latin square of order n is a collection of n cells such that each row, column and symbol appears exactly once in the collection.

Latin squares were introduced by Euler in the 1700s and he was interested in the question of when a Latin square decomposes fully into transversals.

We’ll discuss some of the history of this question, including some recent joint work with Richard Montgomery.

This talk is part of the Combinatorics Seminar series.

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