Ting-Wei Chao

activity

20202026

most citedKruskal--Katona-Type Problems via the Entropy Method

5 citations · 14 across the 18 of their papers we have counts for

collaborators

Showing 2020Show all

2 papers · 1 filter

math.CO2020★ 3 cited

Empty axis-parallel boxes

Boris Bukh, Ting-Wei Chao

We show that, for every set of $n$ points in the $d$ -dimensional unit cube, there is an empty axis-parallel box of volume at least $Ω (d / n)$ as $n \to \infty$ and $d$ is fixed. In the…

math.CO2020★ 4 cited

On convex holes in $d$ -dimensional point sets

Boris Bukh, Ting-Wei Chao, Ron Holzman

Given a finite set $A \subseteq R^{d}$ , points $a_{1}, a_{2}, \dots, a_{ℓ} \in A$ form an $ℓ$ -hole in $A$ if they are the vertices of a convex polytope which contains no poi…

Empty axis-parallel boxes

On convex holes in d-dimensional point sets

On convex holes in $d$ -dimensional point sets