A direct approach to the Gallai-Schur numbers
Combinatorics
2025-11-10 v1
Abstract
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.
Cite
@article{arxiv.2503.02136,
title = {A direct approach to the Gallai-Schur numbers},
author = {Fred Rowley},
journal= {arXiv preprint arXiv:2503.02136},
year = {2025}
}
Comments
9 pages