Theorems of Carathéodory, Helly, and Tverberg without dimension.
SODA '19: Symposium on Discrete Algorithms San Diego California January, 2019(2019)
摘要
Motivated by Barman [6], we initiate a systematic study of the 'no-dimensional' analogues of some basic theorems in combinatorial and convex geometry, including the colorful Carathéodory's theorem, Tverberg's theorem, Helly's theorem as well as their fractional and colorful extensions.
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关键词
dimension,carathéodory,theorems,tverberg
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