On \(k\)-diametral point configurations in Minkowski spaces
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Publication:2666592
DOI10.1016/j.disc.2021.112700zbMath1480.52013arXiv2005.04542OpenAlexW3209050876MaRDI QIDQ2666592
Publication date: 23 November 2021
Published in: Discrete Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.04542
point configurationEuclidean \(d\)-space\(k\)-antipodal point configuration\(k\)-diametral point configurationMinkowski \(d\)-space
Inequalities and extremum problems involving convexity in convex geometry (52A40) Erd?s problems and related topics of discrete geometry (52C10) Other problems of combinatorial convexity (52A37)
Cites Work
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- Abschätzungen für die Anzahl der konvexen Körper, die einen konvexen Körper berühren
- A new proof of Vázsonyi's conjecture
- Sets with large Borsuk number
- Some properties of graphs of diameters
- On almost-equidistant sets
- The geometry of homothetic covering and illumination
- On the multiple Borsuk numbers of sets
- Borsuk number for planar convex bodies
- Ball-polyhedra
- Über zwei Probleme bezüglich konvexer Körper von P. Erdős und von V.L. Klee
- A note on coverings
- Illuminating sets of constant width
- Covering the Boundary of a Convex Set by Tiles
- On the dimension in Borsuk's problem
- Covering convex bodies by translates of convex bodies
- On multiple Borsuk numbers in normed spaces
- Bodies of Constant Width
- Bounding the Size of an Almost-Equidistant Set in Euclidean Space
- Equilateral Sets in Minkowski Spaces
- Covering a Three-Dimensional set with Sets of Smaller Diameter
- Proofs from THE BOOK
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