J. Allsop

activity

20212026

most citedRow-Hamiltonian Latin squares and Falconer varieties

5 citations · 10 across the 10 of their papers we have counts for

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2 papers · 1 filter

math.CO2026

Improved bounds on completion of partial Latin squares

Jack Allsop, Candida Bowtell, Thomas Lesgourgues +1

A Latin square of order $n$ is an $n \times n$ array filled with $n$ symbols so that each symbol appears exactly once in every row and column. A partial Latin square of order $n$ i…

math.CO2026

Universal probability bounds for partial Latin squares

Jack Allsop, Patrick Morris

This paper studies the probability of substructures occurring in random Latin squares. Our main result states that if $α, β > 0$ are such that $2 α + β < 1$ , then there are positive consta…