1. JORGE RAMIREZ ALFONSIN ♂
Information acquired: 2025
JORGE RAMIREZ ALFONSIN is an academic who published a paper in 2017 entitled Complete Kneser Transversal.. JORGE RAMIREZ ALFONSIN published this work as part of a team: Ramirez Alfonsin, Jorge. Here is a description of this work: Let $k,d, lambda ge 1$ be integers with $d ge lambda $. Let $m(k,d, lambda)$ be the maximum positive integer $n$ such that every set $X$ of $n$ points (not necessarily in general position) in $ mathbb{R}^{d}$ has the property that the convex hulls of all $k$-sets have a common transversal $(d- lambda)$-plane (called emph{Kneser Transversal}). It turns out that $m(k, d, lambda)$ is strongly connected with other interesting problems, for instance, the chromatic number of Kneser hypergraphs and a discrete version of Rado's centerpoint theorem. In the same spirit, we introduce a natural discrete version $m^*$ of $m$ by considering the existence of emph{complete Kneser transversals} (in which we ask, in addition, that the transversal $(d- lambda)$-plane contains $(d- lambda)+1$ points of $X$). In this Talk, we present results concerning the rel.