On transversal and $2$-packing numbers in straight line systems on ${\mathbb{R}}^2$

Gabriela Araujo-Pardo, Amanda Montejano, Luis Montejano +1

A linear system is a pair $(X,\mathcal{F})$ where $\mathcal{F}$ is a finite family of subsets on a ground set $X$, and it satisfies that $|A\cap B|\le 1$ for every pair of distinc…