Linear Saturation for $\mathcal{N}$ via Butterflies

Maria-Romina Ivan, Nandi Wang

Given a finite poset $\mathcal{P}$, how small can a family $\mathcal{F}$ of subsets of $[n]$ be such that $\mathcal{F}$ does not contain an induced copy of $\mathcal{P}$, but $\mathcal…