Candida Bowtell

collaborators

4 papers

math.CO2025

Proof of the Kohayakawa--Kreuter conjecture for the majority of cases

Candida Bowtell, Robert Hancock, Joseph Hyde

For graphs $G, H_{1}, \dots, H_{r}$ , write $G \to (H_{1}, \dots, H_{r})$ to denote the property that whenever we $r$ -colour the edges of $G$ , there is a monochromatic copy of $H_{i}$ in colou…

math.CO2025

Perfect tilings of 3-graphs with the generalised triangle

Candida Bowtell, Amarja Kathapurkar, Natasha Morrison +1

We establish a best-possible minimum codegree condition for the existence of a perfect tiling of a $3$ -uniform hypergraph $H$ with copies of the generalised triangle $T$ , which is…

math.CO2025

Extendibility of Latin Hypercuboids

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

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…