2 papers
math.CO2022
Note: a counterexample to a conjecture of Gilmer which would imply the union-closed conjecture
David Ellis
In this very short note, we give a counterexample to a recent conjecture of Gilmer which would have implied the union-closed conjecture.
math.CO2020
A note on transitive union-closed families
James Aaronson, David Ellis, Imre Leader
We show that the Union-Closed Conjecture holds for the union-closed family generated by the cyclic translates of any fixed set.