3 papers
math.CO2026
Embracing exchange sequences and oriented matroid polyhedron diameter
Kristóf Bérczi, Kolja Knauer, Luis Pedro Montejano +1
We reduce the embracing exchange distance of bases of oriented matroids to the metric of oriented matroid polyhedra. This allows us to disprove recent conjectures of Caoduro, Khoda…
math.CO2025
New results on -Roudneff's conjecture
Rangel Hernández, Luis Pedro Montejano
In this paper we study the number of -neighborly reorientations of an oriented matroid, leading to study -Roudneff's conjecture, the case being the original statement c…
math.CO2013
Connected covering numbers
Jonathan Chappelon, Kolja Knauer, Luis Pedro Montejano +1
A connected covering is a design system in which the corresponding {\em block graph} is connected. The minimum size of such coverings are called {\em connected coverings numbers}.…