7 citations · 17 across the 9 of their papers we have counts for
4 papers · 1 filter
Further Consequences of the Colorful Helly Hypothesis
Leonardo Martínez-Sandoval, Edgardo Roldán-Pensado, Natan Rubin
Let be a family of convex sets in , which are colored with colors. We say that satisfies the Colorful Helly Property if every rainb…
Embeddability of arrangements of pseudocircles and graphs on surfaces
Éric Colin de Verdière, Carolina Medina, Edgardo Roldán-Pensado +1
A pseudocircle is a simple closed curve on some surface; an arrangement of pseudocircles is a collection of pseudocircles that pairwise intersect in exactly two points, at which th…
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…
Lower bounds on geometric Ramsey functions
Marek Eliáš, Jiří Matoušek, Edgardo Roldán-Pensado +1
We continue a sequence of recent works studying Ramsey functions for semialgebraic predicates in . A -ary semialgebraic predicate on $\mathbb{R…