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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 -coloring of . We show that any nontrivial linear equation has a constant fraction of sol…
cs.DS2024
Random local access for sampling k-SAT solutions
Dingding Dong, Nitya Mani
We present a sublinear time algorithm that gives random local access to the uniform distribution over satisfying assignments to an arbitrary k-SAT formula , at exponential claus…
math.CO2024
Uncommon linear systems of two equations
Dingding Dong, Anqi Li, Yufei Zhao
A system of linear equations is common over if, as , any 2-coloring of gives asymptotically at least as many monochromatic solutions…