3 papers
math.CO2024
Monochromatic Sumsets in Countable Colourings of Abelian Groups
Imre Leader, Kada Williams
Fernández-Bretón, Sarmiento and Vera showed that whenever a direct sum of sufficiently many copies of , the cyclic group of order 4, is countably coloured there are…
math.CO2024
Layered subgraphs of the hypercube
Natalie Behague, Imre Leader, Natasha Morrison +1
A subgraph of the -dimensional hypercube is called 'layered' if it is a subgraph of a layer of some hypercube. In this paper we show that there exist subgraphs of the cube of ar…
math.CO2023
On Intersecting Polygons
Kada Williams
Consider two regions in the plane, bounded by an -gon and an -gon, respectively. At most how many connected components can there be in their intersection? This question was a…