A New Upper Bound for Cancellative Pairs

Barnabás Janzer

A pair $(\mathcal{A},\mathcal{B})$ of families of subsets of an $n$-element set is called cancellative if whenever $A,A^{\prime }\in \mathcal{A}$ and $B\in \mathcal{B}$ satisfy $A\cup B=A'\cu…