65 citations · 165 across the 33 of their papers we have counts for
5 papers · 1 filter
Balanced Islands in Two Colored Point Sets in the Plane
Oswin Aichholzer, Nieves Atienza, Ruy Fabila-Monroy +5
Let be a set of points in general position in the plane, of which are red and of which are blue. In this paper we prove that there exist: for every $α\in \left [ 0,…
Regularity and Planarity of Token Graphs
Walter Carballosa, Ruy Fabila-Monroy, Jesús Leaños +1
Let be a graph of order and let be an integer. The -token graph of is the graph whose vertices are all the -subsets of , two of which are ad…
Drawing the Horton Set in an Integer Grid of Minimum Size
Luis Barba, Frank Duque, Ruy Fabila-Monroy +1
In 1978 Erd\H os asked if every sufficiently large set of points in general position in the plane contains the vertices of a convex -gon, with the additional property that no ot…
Modem Illumination of Monotone Polygons
Oswin Aichholzer, Ruy Fabila-Monroy, David Flores-Peñaloza +3
We study a generalization of the classical problem of the illumination of polygons. Instead of modeling a light source we model a wireless device whose radio signal can penetrate a…
Asymmetric polygons with maximum area
L. Barba, L. E. Caraballo, J. M. Díaz-Báñez +2
We say that a polygon inscribed in the circle is asymmetric if it contains no two antipodal points being the endpoints of a diameter. Given diameters of a circle and a positive…