7 citations · 11 across the 15 of their papers we have counts for
11 papers · 1 filter
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{…
Equicovering masses in the Euclidean plane
Manuel A. Espinosa-García, Leonardo Martínez-Sandoval, Edgardo Roldán-Pensado
Classic mass partition results are about dividing the plane into regions that are equal with respect to one or more measures (masses). We introduce a new concept in which the notio…
On the orthogonal Grünbaum partition problem in dimension three
Gerardo L. Maldonado, Edgardo Roldán-Pensado
Grünbaum's equipartition problem asked if for any measure on there are always hyperplanes which divide into -equal parts. This proble…
On a colorful problem by Dol'nikov concerning translates of convex bodies
Leonardo Martínez-Sandoval, Edgardo Roldán-Pensado
In this note we study a conjecture by Jerónimo-Castro, Magazinov and Soberón which generalized a question posed by Dol'nikov. Let be families of translates of a…
Transversals to colorful intersecting convex sets
Cuauhtemoc Gomez-Navarro, Edgardo Roldán-Pensado
Let be a compact convex set in and let be finite families of translates of such that …
Total orders realizable as the distances between two sets of points
Gerardo L. Maldonado, Miguel Raggi Pérez, Edgardo Roldán-Pensado
In this note we give a negative answer to a question proposed by Almendra-Hernández and Martínez-Sandoval. Let be positive integers and let and be sets of sizes $n…
Sidon-Ramsey and -Ramsey numbers
Manuel A. Espinosa-García, Amanda Montejano, Edgardo Roldán-Pensado +1
For a given positive integer , the Sidon-Ramsey number $\SR(k)$ is defined as the minimum value of such that, in every partition of the set into parts, there ex…
A survey of mass partitions
Edgardo Roldán-Pensado, Pablo Soberón
Mass partition problems describe the partitions we can induce on a family of measures or finite sets of points in Euclidean spaces by dividing the ambient space into pieces. In thi…
Zero-sum squares in bounded discrepancy {-1,1}-matrices
Alma R. Arévalo, Amanda Montejano, Edgardo Roldán-Pensado
For , we prove that every matrix with entries in and absolute discrepancy contains a zero-sum…
A note on the tolerated Tverberg theorem
Natalia García-Colín, Miguel Raggi, Edgardo Roldán-Pensado
In this paper we give an asymptotically tight bound for the tolerated Tverberg Theorem when the dimension and the size of the partition are fixed. To achieve this we study certain…
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…