2 papers
math.CO2026
A rainbow Dirac theorem for loose Hamilton cycles in hypergraphs
Amarja Kathapurkar, Patrick Morris, Guillem Perarnau
A meta-conjecture of Coulson, Keevash, Perarnau and Yepremyan states that above the extremal threshold for a given spanning structure in a (hyper-)graph, one can find a rainbow ver…
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…