Geometry of Rounding: Near Optimal Bounds and a New Neighborhood Sperner's Lemma

Jason Vander Woude, Peter Dixon, A. Pavan +2

A partition $\mathcal{P}$ of ${\mathbb{R}}^d$ is called a $(k,\epsilon )$-secluded partition if, for every $\vec{p}\in {\mathbb{R}}^d$, the ball $\overline{B}_{\infty}(\varepsilon,…