R. Fabila-Monroy

activity

20122022

collaborators

4 papers

cs.CG2022

No Selection Lemma for Empty Triangles

Ruy Fabila-Monroy, Carlos Hidalgo-Toscano, Daniel Perz +1

Let $S$ be a set of $n$ points in general position in the plane. The Second Selection Lemma states that for any family of $Θ (n^{3})$ triangles spanned by $S$ , there exists a point of…

cs.RO2022

Stochastic strategies for patrolling a terrain with a synchronized multi-robot system

Luis E. Caraballo, José M. Díaz-Báñez, Ruy Fabila-Monroy +1

A group of cooperative aerial robots can be deployed to efficiently patrol a terrain, in which each robot flies around an assigned area and shares information with the neighbors pe…

cs.CG2020

A Note on Empty Balanced Tetrahedra in Two colored Point sets in $R^{3}$

José M. Díaz-Bañez, Ruy Fabila-Monroy, Jorge Urrutia

Let $S$ be a set of $n$ red and $n$ blue points in general position in $R^{3}$ . Let $τ$ be a tetrahedra with vertices on $S$ . We say that $τ$ is \emph{empty} if it does not…

math.CO2012

Empty Monochromatic Simplices

Oswin Aichholzer, Ruy Fabila-Monroy, Thomas Hackl +2

Let $S$ be a $k$ -colored (finite) set of $n$ points in $R^{d}$ , $d \geq 3$ , in general position, that is, no { $(d + 1)$ } points of $S$ lie in a common $(d - 1)$ }-dimensional…

No Selection Lemma for Empty Triangles

Stochastic strategies for patrolling a terrain with a synchronized multi-robot system

A Note on Empty Balanced Tetrahedra in Two colored Point sets in R3

Empty Monochromatic Simplices

A Note on Empty Balanced Tetrahedra in Two colored Point sets in $R^{3}$