Skip to main content
Download PDF
- Main
Quantitative Tverberg Theorems Over Lattices and Other Discrete Sets
Published Web Location
https://doi.org/10.1007/s00454-016-9858-3Abstract
This paper presents a new variation of Tverberg’s theorem. Given a discrete set S of Rd, we study the number of points of S needed to guarantee the existence of an m-partition of the points such that the intersection of the m convex hulls of the parts contains at least k points of S. The proofs of the main results require new quantitative versions of Helly’s and Carathéodory’s theorems.
Many UC-authored scholarly publications are freely available on this site because of the UC's open access policies. Let us know how this access is important for you.