1 citations · 2 across the 4 of their papers we have counts for
7 papers
Pushed colorful polytopal KKMS Theorem and orthogonal star transversals
Leonardo Martínez-Sandoval, Ariadna Olvera-Sampieri
A classical theorem of Kaiser and Rabinovich implies that if every subfamily of size at most of a finite family of compact connected sets in $\mathbb{…
Disconnected graphs and extremal bounds for realizable distance orders
Gerardo L. Maldonado, Leonardo Martínez-Sandoval, Miguel Raggi +1
Let be a graph together with a total order on its edges. We say that is realizable in if there is a placement of the vertices of in $\mathbb{…
On prescribing total preorders and linear orders to pairwise distances of points in Euclidean space
Víctor Hugo Almendra-Hernández, Leonardo Martínez-Sandoval
We show that any total preorder on a set with elements coincides with the order on pairwise distances of some point collection of size in . For…
Geometric Systems of Unbiased Representatives
Aritra Banik, Bhaswar B. Bhattacharya, Sujoy Bhore +1
Let be a set of points in , a bicoloring of and $\Oo$ a family of geometric objects (that is, intervals, boxes, balls, etc). An object from $\Oo$ is calle…
Triangle areas in line arrangements
Gábor Damásdi, Leonardo Martínez-Sandoval, Dániel T. Nagy +1
A widely investigated subject in combinatorial geometry, originated from Erdős, is the following. Given a point set of cardinality in the plane, how can we describe the dis…
Depth with respect to a family of convex sets
Leonardo Martínez-Sandoval, Roee Tamam
We propose a notion of depth with respect to a finite family of convex sets in which we call . We begin showing that $\text{dep…
A sunflower anti-Ramsey theorem and its applications
Leonardo Martínez-Sandoval, Miguel Raggi, Edgardo Roldán-Pensado
A -sunflower in a hypergraph is a family of edges with vertices in common. We show that if we colour the edges of a complete hypergraph in such a way that any monochromatic…