New sets with large Borsuk numbers

DOI10.1016/S0012-365X(02)00833-6zbMath1028.52012WikidataQ57382989 ScholiaQ57382989MaRDI QIDQ1406552

Christian Richter, Aicke Hinrichs

Publication date: 4 September 2003

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

Borsuk's conjecturespherical codesfew distance sets

Mathematics Subject Classification ID

Combinatorial aspects of matroids and geometric lattices (05B35) Other problems of combinatorial convexity (52A37) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

Related Items

Analog of Borsuk's problem on Banach spaces, A quantitative program for Hadwiger's covering conjecture, Lower bound on the minimum number of edges in subgraphs of Johnson graphs, On Boltyanski and Gohberg's partition conjecture, On \(\mathbb R_p^n\)-analog of the Borsuk problem, On Borsuk's conjecture for two-distance sets, Geometry of finite-dimensional normed spaces and continuous functions on the Euclidean sphere, The Borsuk partition problem: the seventieth anniversary, Around Borsuk's hypothesis, Borsuk number for planar convex bodies, The plane-width of graphs, Borsuk's partition conjecture

Cites Work

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• Spherical codes and designs
• Sets with large Borsuk number
• Borsuk's problem and the chromatic numbers of some metric spaces
• A counterexample to Borsuk’s conjecture
• On the dimension in Borsuk's problem
• On a bound in Borsuk's problem
• Covering a Three-Dimensional set with Sets of Smaller Diameter
• Spherical codes and Borsuk's conjecture