Subpolytopes of cyclic polytopes
type: Item
instance of: scholarly article
title: Subpolytopes of cyclic polytopes
zbMATH Open document ID: 0951.52008
author: Gyula Károlyi
author: T. Bisztriczky
published in: European Journal of Combinatorics
publication date: 2000-12-13T00:00:00Z
review text: The authors prove directly that every subpolytope of a cyclic \(d\)-polytope is cyclic. If \(d\) is even, this statement was proven previously by \textit{I.~Shemer} in [Isr. J. Math. 43, 291-314 (1982; Zbl 0598.05010)]. If \(d\) is odd, this result is new but the authors show that it can also be derived from a result of \textit{R.~Cordovil} and \textit{P.~Duchet} [Eur. J. Comb. 21, No. 1, 49-64 (2000)].
Mathematics Subject Classification ID: 52B05
Mathematics Subject Classification ID: 52B11
zbMATH DE Number: 1406276
zbMATH Keywords: subpolytope
zbMATH Keywords: cyclic polytope
reviewed by: Victor Alexandrov
MaRDI profile type: Publication
OpenAlex ID: W2018081095
cites work: Q4003411
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cites work: Q4051879
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DOI: 10.1006/EUJC.1999.0318
description: scientific article; zbMATH DE number 1406276