On the volume of hyperplane sections of a d-CUBE

Aliev, Iskander ORCID: https://orcid.org/0000-0002-2206-9207 2021. On the volume of hyperplane sections of a d-CUBE. Acta Mathematica Hungarica 163 , pp. 547-551. 10.1007/s10474-020-01057-y

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Abstract

We obtain an optimal upper bound for the normalised volume of a hyper-plane section of an origin-symmetric d-dimensional cube. This confirms a conjecture posed by Imre Barany and Peter Frankl.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Publisher:	Akadémiai Kiadó / Springer Verlag (Germany)
ISSN:	0236-5294
Date of First Compliant Deposit:	2 November 2020
Date of Acceptance:	24 April 2020
Last Modified:	04 Dec 2024 09:45
URI:	https://orca.cardiff.ac.uk/id/eprint/136065

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