A direct approach to the Gallai-Schur numbers

Fuente: arXiv
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Main Author: Rowley, Fred
Format: Preprint
Published: 2025
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author Rowley, Fred
author_facet Rowley, Fred
contents This paper characterises the structure of every maximal weak or strong Gallai-Schur partition. The results confirm the exact values of Gallai-Schur numbers provided by Budden (2020) in the strong case, and provide corresponding values for weak Gallai-Schur numbers. The proofs are elementary and standalone.
format Preprint
id arxiv_https___arxiv_org_abs_2503_02136
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A direct approach to the Gallai-Schur numbers
Rowley, Fred
Combinatorics
This paper characterises the structure of every maximal weak or strong Gallai-Schur partition. The results confirm the exact values of Gallai-Schur numbers provided by Budden (2020) in the strong case, and provide corresponding values for weak Gallai-Schur numbers. The proofs are elementary and standalone.
title A direct approach to the Gallai-Schur numbers
topic Combinatorics
url https://arxiv.org/abs/2503.02136