Symbolic Sets for Proving Bounds on Rado Numbers

Tanbir Ahmed, Lamina Zaman, Curtis Bright

Given a linear equation $\mathcal{E}$ of the form $ax+by=cz$ where $a$, $b$, $c$ are positive integers, the $k$-colour Rado number $R_k(\mathcal{E})$ is the smallest positive integer $…