Mathematics > Combinatorics
[Submitted on 3 Mar 2025
]
Title: A direct approach to the Gallai-Schur numbers
Title: 直接求解Gallai-Schur数的方法
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.
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