On maximum volume simplices in polytopes

DOI10.1007/s10998-014-0051-2zbMath1340.52005OpenAlexW2049341446MaRDI QIDQ901309

Arseniy V. Akopyan, Alexey Glazyrin

Publication date: 8 January 2016

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10998-014-0051-2

zbMATH Keywords

triangulationsconvex hullRadon's theoremparallelotopemaximal volume simplex

Mathematics Subject Classification ID

(n)-dimensional polytopes (52B11) Inequalities and extremum problems involving convexity in convex geometry (52A40) Helly-type theorems and geometric transversal theory (52A35) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Cites Work

• Properties of axial diameters of a simplex
• A generalization of Caratheodory's theorem
• Parallelotopes of maximum volume in a simplex
• Tverberg's theorem via number fields
• On a property of \(n\)-dimensional simplices
• A Generalization of Radon's Theorem

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