Distributions of points in \(d\) dimensions and large \(k\) -point simplices

DOI10.1007/s00454-007-9041-yzbMath1151.05327DBLPjournals/dcg/Lefmann08OpenAlexW2033160649WikidataQ56446518 ScholiaQ56446518MaRDI QIDQ958238

Hanno Lefmann

Publication date: 2 December 2008

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00454-007-9041-y

zbMATH Keywords

independence numberhypergraphsHeilbronn's triangle problem

Mathematics Subject Classification ID

Hypergraphs (05C65) Inequalities and extremum problems in real or complex geometry (51M16)

Related Items (1)

Generalizations of Heilbronn's triangle problem

Cites Work

• Large triangles in the \(d\)-dimensional unit cube
• Extremal uncrowded hypergraphs
• Developments in Heilbronn's triangle problem
• The on-line Heilbronn's triangle problem
• The on-line Heilbronn's triangle problem in \(d\) dimensions
• On Heilbronn's problem in higher dimension
• A Lower Bound for Heilbronn's Triangle Problem in d Dimensions
• On Heilbronn's Triangle Problem
• A Lower Bound for Heilbronn'S Problem
• The Algorithmic Aspects of Uncrowded Hypergraphs
• An Algorithm for Heilbronn's Problem
• The average‐case area of Heilbronn‐type triangles*
• On uncrowded hypergraphs
• A Deterministic Polynomial-Time Algorithm for Heilbronn's Problem in Three Dimensions
• 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
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