7 citations · 19 across the 18 of their papers we have counts for
5 papers · 1 filter
A fractional Helly theorem for boxes
I. Bárány, F. Fodor, A. Martínez-Pérez +3
Let be a family of axis-parallel boxes in and a real number. There exists a real number such that if there are $α{n\choos…
Colorful Associahedra and Cyclohedra
Gabriela Araujo-Pardo, Isabel Hubard, Deborah Oliveros +1
Every n-edge colored n-regular graph G naturally gives rise to a simple abstract n-polytope, the colorful polytope of G, whose 1-skeleton is isomorphic to G. The paper describes co…
The (p,q)-extremal problem and the fractional chromatic number of Kneser hypergraphs
Gabriela Araujo-Pardo, Juan Carlos Díaz-Patiño, Luis Montejano +1
The problem of computing the chromatic number of Kneser hypergraphs has been extensively studied over the last 40 years and the fractional version of the chromatic number of Kneser…
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…