Total orders realizable as the distances between two sets of points

Gerardo L. Maldonado, Miguel Raggi Pérez, Edgardo Roldán-Pensado

In this note we give a negative answer to a question proposed by Almendra-Hernández and Martínez-Sandoval. Let $n\le m$ be positive integers and let $X$ and $Y$ be sets of sizes $n…