Dingding Dong

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20242026

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math.CO2024

On monochromatic solutions to linear equations over the integers

Dingding Dong, Nitya Mani, Huy Tuan Pham +1

We study the number of monochromatic solutions to linear equations in a $2$ -coloring of ${1, \dots, n}$ . We show that any nontrivial linear equation has a constant fraction of sol…

math.CO2024

Uncommon linear systems of two equations

Dingding Dong, Anqi Li, Yufei Zhao

A system of linear equations $L$ is common over $F_{p}$ if, as $n \to \infty$ , any 2-coloring of $F_{p}^{n}$ gives asymptotically at least as many monochromatic solutions…