On the multiple Borsuk numbers of sets

DOI10.1007/s11856-013-0048-1zbMath1304.52013arXiv1206.0892OpenAlexW3098951462MaRDI QIDQ2017114

Mihály Hujter, Zsolt Lángi

Publication date: 25 June 2014

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.0892

zbMATH Keywords

diameterBorsuk numbers\(k\)-fold

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05)

Related Items

On \(k\)-diametral point configurations in Minkowski spaces ⋮ On Boltyanski and Gohberg's partition conjecture

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Ball polytopes and the Vázsonyi problem
• Isoperimetric ratios of Reuleaux polygons
• Borsuk's problem for \((0,1)\)-polytopes and cross-polytopes
• A new proof of Vázsonyi's conjecture
• n-tuple colorings and associated graphs
• Some properties of graphs of diameters
• Note on a conjecture of Toft
• Several parameters of generalized Mycielskians
• Around Borsuk's hypothesis
• Excursions into combinatorial geometry
• Überdeckung einer Menge durch Mengen kleineren Durchmessers
• Mitteilung betreffend meine Note: Überdeckung einer Menge durch Mengen kleineren Durchmessers
• Fractional chromatic numbers of cones over graphs
• A counterexample to Borsuk’s conjecture
• Zum Borsukschen Zerteilungsproblem
• The problems of Borsuk and Grunbaum on lattice polytopes
• Multi-coloring the Mycielskian of graphs
• On a bound in Borsuk's problem
• Reuleaux polytopes
• Symmetrical sets of constant width and their partitions

This page was built for publication: On the multiple Borsuk numbers of sets