R. Fabila-Monroy

activity

20122026

most citedPoint Sets with Small Integer Coordinates and with Small Convex Polygons

2 citations · 4 across the 10 of their papers we have counts for

collaborators

Showing cs.CGShow all

3 papers · 1 filter

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.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…

cs.CG2015

Caratheodory's Theorem in Depth

Ruy Fabila-Monroy, Clemens Huemer

Let $X$ be a finite set of points in $R^{d}$ . The Tukey depth of a point $q$ with respect to $X$ is the minimum number $τ_{X} (q)$ of points of $X$ in a halfspace containing $q…

No Selection Lemma for Empty Triangles

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

Caratheodory's Theorem in Depth

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