A direct approach to the Gallai-Schur numbers
arXiv:2503.02136
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.
arXiv comment9 pages