Candida Bowtell

collaborators

3 papers

math.CO2025

Extendibility of Latin Hypercuboids

Candida Bowtell, Alice Devillers, André Kündgen +2

A Latin hypercuboid of order $n$ is a $d$ -dimensional matrix of dimensions $n \times n \times \dots \times n \times k$ , with symbols from a set of cardinality $n$ such that each symbol…

math.CO2025

Almost every Latin square has a decomposition into transversals

Candida Bowtell, Richard Montgomery

In 1782, Euler conjectured that no Latin square of order $n \equiv 2 mod 4$ has a decomposition into transversals. While confirmed for $n = 6$ by Tarry in 1900, Bose, Par…

math.CO2025

A note on improved bounds for hypergraph rainbow matching problems

Candida Bowtell, Andrea Freschi, Gal Kronenberg +1

A natural question, inspired by the famous Ryser-Brualdi-Stein Conjecture, is to determine the largest positive integer $g (r, n)$ such that every collection of $n$ matchings, each o…