An Upper Bound on the Sizes of Multiset-Union-Free Families

Or Ordentlich, Ofer Shayevitz

Let ${\mathcal{F}}_1$ and ${\mathcal{F}}_2$ be two families of subsets of an $n$-element set. We say that ${\mathcal{F}}_1$ and ${\mathcal{F}}_2$ are multiset-union-free if for any $A,B\in…