Covering the Permutohedron by Affine Hyperplanes

Fuente: arXiv
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Hauptverfasser: Hegedüs, Gábor, Károlyi, Gyula
Format: Preprint
Veröffentlicht: 2023
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author Hegedüs, Gábor
Károlyi, Gyula
author_facet Hegedüs, Gábor
Károlyi, Gyula
contents An almost cover of a finite set in the affine space is a collection of hyperplanes that together cover all points of the set except one. Using the polynomial method, we determine the minimum size of an almost cover of the vertex set of the permutohedron and address a few related questions.
format Preprint
id arxiv_https___arxiv_org_abs_2305_06202
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Covering the Permutohedron by Affine Hyperplanes
Hegedüs, Gábor
Károlyi, Gyula
Combinatorics
An almost cover of a finite set in the affine space is a collection of hyperplanes that together cover all points of the set except one. Using the polynomial method, we determine the minimum size of an almost cover of the vertex set of the permutohedron and address a few related questions.
title Covering the Permutohedron by Affine Hyperplanes
topic Combinatorics
url https://arxiv.org/abs/2305.06202