Gerardo L. Maldonado

activity

20242026

collaborators

3 papers

math.DS2026

Extinction thresholds in a graph-based model of HIV infection dynamics

Manuel A. Espinosa-GarcÃa, Ana Paulina Figueroa, JuliÃ¡n A. FresÃ¡n-Figueroa +2

We study a graph-based cellular automaton for HIV infection dynamics in lymph-node networks, originally introduced by Mukwembi. Each vertex represents a cell site that may be healt…

math.CO2025

Total orders realizable as the distances between two sets of points

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.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…