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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.
math.CO2020★ 5 cited
Exact hyperplane covers for subsets of the hypercube
James Aaronson, Carla Groenland, Andrzej Grzesik +2
Alon and Füredi (1993) showed that the number of hyperplanes required to cover without covering is . We initiate the study of such exact hyperplan…