65 citations · 165 across the 33 of their papers we have counts for
4 papers · 1 filter
On the Number of Order Types in Integer Grids of Small Size
Luis E. Caraballo, José-Miguel Díaz-Báñez, Ruy Fabila-Monroy +3
Let and be two sets of labeled points in general position in the plane. We say that these two point sets have the same order type if for…
Optimal Grid Drawings of Complete Multipartite Graphs and an Integer Variant of the Algebraic Connectivity
Ruy Fabila-Monroy, Carlos Hidalgo-Toscano, Clemens Huemer +2
How to draw the vertices of a complete multipartite graph on different points of a bounded -dimensional integer grid, such that the sum of squared distances between vertices…
The exact chromatic number of the convex segment disjointness graph
Ruy Fabila-Monroy, Jakob Jonsson, Pavel Valtr +1
Let be a set of points in strictly convex position in the plane. Let be the graph whose vertex set is the set of all line segments with endpoints in , where disjoi…
Colored ray configurations
Ruy Fabila-Monroy, Alfredo García, Ferran Hurtado +6
We study the cyclic color sequences induced at infinity by colored rays with apices being a given balanced finite bichromatic point set. We first study the case in which the rays a…