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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Showing 2024Show all

2 papers · 1 filter

math.CO2024

Commuting Pairs in Quasigroups

Jack Allsop, Ian M. Wanless

A quasigroup is a pair $(Q, *)$ where $Q$ is a non-empty set and $*$ is a binary operation on $Q$ such that for every $(a, b) \in Q^{2}$ there exists a unique $(x, y) \in Q^{2}$ such t…

math.CO2024

Subsquares in random Latin rectangles

Jack Allsop, Ian M. Wanless

Suppose that $k$ is a function of $n$ and $n \to \infty$ . We show that with probability $1 - O (1/ n)$ , a uniformly random $k \times n$ Latin rectangle contains no proper Latin subsquare…