9 citations · 30 across the 18 of their papers we have counts for
3 papers · 1 filter
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…
The chromatic number of comparability 3-hypergraphs
Natalia Garcia-Colin, Amanda Montejano, Deborah Oliveros
Beginning with the concepts of orientation for a 3-hypergraph and transitivity for an oriented 3-hypergraph, it is natural to study the class of comparability 3-hypergraphs (those…