3 papers
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
A collection of open problems in celebration of Imre Leader's 60th birthday
Rahil Baber, Natalie Behague, Asier Calbet +10
One of the great pleasures of working with Imre Leader is to experience his infectious delight on encountering a compelling combinatorial problem. This collection of open problems…
math.CO2023
Improved bounds for cross-Sperner systems
Natalie Behague, Akina Kuperus, Natasha Morrison +1
A collection of families is cross-Sperner if there is no pair for which some $F_i…