A. Ghafari

collaborators

2 papers

math.CO2026

Latin Squares whose transversals intersect in unusual ways

Afsane Ghafari, Ian M. Wanless

A latin square of order $n$ is an $n \times n$ array in which each of $n$ symbols occurs exactly once in each row and column. A transversal in such a square is a selection of $n$ en…

math.CO2024

Latin Squares whose transversals share many entries

Afsane Ghafari, Ian M. Wanless

We prove that, for all even $n \geq 10$ , there exists a latin square of order $n$ with at least one transversal, yet all transversals coincide on $⌊ n /6 ⌋$ entri…