2 papers
math.CO2024
Element-Distinct Solution For Rado's Theorem
Ningyuan Yang, Tianyi Tao
In this paper, we present a simplified proof of Rado's Theorem and demonstrate that when an integer matrix satisfies the column condition and has an elem…
math.CO2024
Finding Product and Sum Patterns in non-commutative settings
T. Y. Tao, Neil N. Y. Yang
Hindman conjectured that any finite partition of has a monochromatic . Recently, Bowen proved the result for all 2-partition. In this paper, we extend…