4 citations · 8 across the 8 of their papers we have counts for
5 papers · 1 filter
Borsuk and Vázsonyi problems through Reuleaux polyhedra
Gyivan Lopez-Campos, Deborah Oliveros, Jorge L. Ramírez Alfonsín
The Borsuk conjecture and the Vázsonyi problem are two attractive and famous questions in discrete and combinatorial geometry, both based on the notion of diameter of a bounded set…
A polytopal generalization of Apollonian packings and Descartes' theorem
Jorge L. Ramírez Alfonsín, Iván Rasskin
We present a generalization of Descartes' theorem for the family of polytopal sphere packings arising from uniform polytopes. The corresponding quadratic equation is expressed in t…
On lattice path matroid polytopes: integer points and Ehrhart polynomial
Kolja Knauer, Leonardo Martínez-Sandoval, Jorge Luis Ramírez Alfonsín
In this paper we investigate the number of integer points lying in dilations of lattice path matroid polytopes. We give a characterization of such points as polygonal paths in the…
Complete Kneser Transversals
Jonathan Chappelon, Leonardo Martínez-Sandoval, Luis Montejano +2
Let be integers with . Let be the maximum positive integer such that every set of points (not necessarily in general position) in…
On the Möbius function of the locally finite poset associated with a numerical semigroup
Jonathan Chappelon, Jorge Ramírez Alfonsín
Let be a numerical semigroup and let be the (locally finite) poset induced by on the set of integers defined by $x \leqs…