7 citations · 17 across the 9 of their papers we have counts for
5 papers · 1 filter
Measure Partitions Using Hyperplanes with Fixed Directions
Roman Karasev, Edgardo Roldán-Pensado, Pablo Soberón
We study nested partitions of obtained by successive cuts using hyperplanes with fixed directions. We establish the number of measures that can be split evenly simultaneously…
Cutting convex curves
Andreas F. Holmsen, János Kincses, Edgardo Roldán-Pensado
We show that for any two convex curves and in parametrized by with opposite orientations, there exists a hyperplane with the following propert…
About an Erdős-Grünbaum conjecture concerning piercing of non bounded convex sets
Amanda Montejano, Luis Montejano, Edgardo Roldán-Pensado +1
In this paper, we study the number of compact sets needed in an infinite family of convex sets with a local intersection structure to imply a bound on its piercing number, answerin…
A Rainbow Ramsey Analogue of Rado's Theorem
Jesús A. De Loera, Reuben N. La Haye, Amanda Montejano +2
We present a Rainbow Ramsey version of the well-known Ramsey-type theorem of Richard Rado. We use techniques from the Geometry of Numbers. We also disprove two conjectures proposed…
Points defining triangles with distinct circumradii
Leonardo Martínez, Edgardo Roldán-Pensado
Paul Erdos asked if, among sufficiently many points in general position, there are always points such that all the circles through of these points have different radii.…