Hadwiger's covering conjecture and low dimensional dual cyclic polytopes

DOI10.1007/BF01263619zbMath0793.52003OpenAlexW2051342487MaRDI QIDQ1801611

Károly Bezdek, Tibor Bisztriczky

Publication date: 18 August 1994

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01263619

zbMATH Keywords

coveringilluminationcyclic polytopesHadwiger conjecturehomothetic pictures

Mathematics Subject Classification ID

Special polytopes (linear programming, centrally symmetric, etc.) (52B12) Other problems of combinatorial convexity (52A37) Convex sets in (2) dimensions (including convex curves) (52A10) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20)

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Cites Work

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• Neighborly polytopes
• Cyclic polytopes and d-order curves
• Quotient polytopes of cyclic polytopes. I: Structure and characterization
• The problem of illumination of the boundary of a convex body by affine subspaces