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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
A Note on Conjectures of Gullerud, Johnson, and Mbirika
Robert Davis, Nayda Farnsworth
In 2023, Gullerud, Johnson, and Mbirika presented results on their study of certain tridiagonal real symmetric matrices. As part of their work, they studied the roots to nonhomogen…