2 papers
math.CO2026
On Hales-Jewett and Related Numbers
Nathan Conlon, Nayda Farnsworth, Aaron Robertson
We investigate the Hales-Jewett numbers and some variants of them, both computationally and via enumerative and probabilistic arguments. In particular, we give the improved lower b…
math.CO2025
Gallai-Schur Triples and Related Problems
Yaping Mao, Aaron Robertson, Jian Wang +2
Schur's Theorem states that, for any , there exists a minimum integer such that every -coloring of admits a monochromatic solutio…