Counterexamples to Wegner's Conjecture for Rectangles

Deepak Ajwani, Rishikesh Gajjala, Rajiv Raman +1

Wegner conjectured in 1965 that every finite family $\mathcal{R}$ of axis-parallel rectangles satisfies $\tau (\mathcal{R})\le 2\nu (\mathcal{R})-1$, where $\tau (\mathcal{R})$ is the minimum num…