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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 -uniform hypergraph with copies of the generalised triangle , which is…
math.CO2025
Extendibility of Latin Hypercuboids
Candida Bowtell, Alice Devillers, André Kündgen +2
A Latin hypercuboid of order is a -dimensional matrix of dimensions , with symbols from a set of cardinality 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 such that every collection of matchings, each o…