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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: 06 Nov 2023 18:35
URI: https://orca.cardiff.ac.uk/id/eprint/136065

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