E. Roldán-Pensado

collaborators

3 papers

math.CO2025

Total orders realizable as the distances between two sets of points

Gerardo L. Maldonado, Miguel Raggi PÃ©rez, Edgardo RoldÃ¡n-Pensado

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

math.CO2025

Equicovering masses in the Euclidean plane

Manuel A. Espinosa-GarcÃa, Leonardo MartÃnez-Sandoval, Edgardo RoldÃ¡n-Pensado

Classic mass partition results are about dividing the plane into regions that are equal with respect to one or more measures (masses). We introduce a new concept in which the notio…

math.CO2024

On the orthogonal GrÃ¼nbaum partition problem in dimension three

Gerardo L. Maldonado, Edgardo RoldÃ¡n-Pensado

GrÃ¼nbaum's equipartition problem asked if for any measure $I^¼$ on $R^{d}$ there are always $d$ hyperplanes which divide $R^{d}$ into $2^{d}$ $I^¼$ -equal parts. This pro…