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- W2951846595 abstract "This paper presents a new variation of Tverberg's theorem. Given a discrete set $S$ of $R^d$, 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 Carath'eodory's theorems." @default.
- W2951846595 created "2019-06-27" @default.
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- W2951846595 date "2016-03-17" @default.
- W2951846595 modified "2023-10-03" @default.
- W2951846595 title "Quantitative Tverberg theorems over lattices and other discrete sets" @default.
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- W2951846595 doi "https://doi.org/10.48550/arxiv.1603.05525" @default.
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