William J. Wesley

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20222026

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math.CO2024

Optimization Tools for Computing Colorings of $[1, \dots, n]$ with Few Monochromatic Solutions on $3$ -variable Linear Equations

Jesús A. De Loera, Denae Ventura, Liuyue Wang +1

A famous result in arithmetic Ramsey theory says that for many linear homogeneous equations $E$ there is a threshold value $R_{k} (E)$ (the Rado number of $E$ ) such that for any $k$ -c…

math.CO2022

Rado Numbers and SAT Computations

Yuan Chang, Jesús A. De Loera, William J. Wesley

Given a linear equation $E$ , the $k$ -color Rado number $R_{k} (E)$ is the smallest integer $n$ such that every $k$ -coloring of ${1, 2, 3, \dots, n}$ contains a monoc…

Optimization Tools for Computing Colorings of [1,⋯,n] with Few Monochromatic Solutions on 3-variable Linear Equations

Rado Numbers and SAT Computations

Optimization Tools for Computing Colorings of $[1, \dots, n]$ with Few Monochromatic Solutions on $3$ -variable Linear Equations