The discrete yet ubiquitous theorems of Carath'eodory, Helly, Sperner, Tucker, and Tverberg
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Abstract (arXiv)
We discuss five discrete results: the lemmas of Sperner and Tucker from combinatorial topology and the theorems of Carath'eodory, Helly, and Tverberg from combinatorial geometry. We explore their connections and emphasize their broad impact in application areas such as game theory, graph theory, mathematical optimization, computational geometry, etc.
Key facts. Cited by 2 papers in the map (data through 14 Oct 2026). First posted on arXiv 16 Jun 2017.
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2 papers.