On the volume of hyperplane sections of a d-cube

2020/04/02 by Iskander Aliev, Aliev, Iskander · 2 citations
Mathematics · #FOS: Mathematics #Metric Geometry (math.MG) #math.MG

paper · pdf · doi:10.48550/arxiv.2004.00873

arxiv created 2020/07/02 · arxiv updated 2020/07/03

Abstract

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

Cited by

• Central diagonal sections of Gaussian n-cubes
• Combinatorics of slices of cubes

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