Upper bounds for Heilbronn's triangle problem in higher dimensions

DOI10.1112/BLMS.13020MaRDI QIDQ6499407

Dmitriy Zakharov

Publication date: 8 May 2024

Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Erd?s problems and related topics of discrete geometry (52C10) Extremal combinatorics (05D99)

Cites Work

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• Distributions of points in \(d\) dimensions and large \(k\) -point simplices
• Generalizations of Heilbronn's triangle problem
• Distributions of points in the unit square and large \(k\)-gons
• A Lower Bound for Heilbronn's Triangle Problem in d Dimensions
• On Heilbronn's Triangle Problem
• A Lower Bound for Heilbronn'S Problem
• An Algorithm for Heilbronn's Problem
• An Upper Bound for the d-Dimensional Analogue of Heilbronn's Triangle Problem
• On a Problem of Heilbronn†
• On a Problem of Heilbronn, II
• On a Problem of Heilbronn, III
• On a Problem of Heilbronn

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