L. Montejano

activity

20012024

most citedTopological transversals to a family of convex sets

10 citations · 49 across the 34 of their papers we have counts for

collaborators

Showing 2023Show all

2 papers · 1 filter

math.CO2023

On $k$ -neighborly reorientations of oriented matroids

Rangel Hernández-Ortiz, Kolja Knauer, Luis Pedro Montejano

We study the existence and the number of $k$ -neighborly reorientations of an oriented matroid. This leads to $k$ -variants of McMullen's problem and Roudneff's conjecture, the case…

math.CO2023

Roudneff's Conjecture in Dimension $4$

Rangel Hernández-Ortiz, Kolja Knauer, Luis Pedro Montejano +1

J.-P. Roudneff conjectured in 1991 that every arrangement of $n \geq 2 d + 1 \geq 5$ pseudohyperplanes in the real projective space $P^{d}$ has at most $\sum_{i=0}^{d-2} \binom{n-…

On k-neighborly reorientations of oriented matroids

Roudneff's Conjecture in Dimension 4

On $k$ -neighborly reorientations of oriented matroids

Roudneff's Conjecture in Dimension $4$