Klaus Metsch

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20122024

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math.CO2024

An algebraic approach to Erdős-Ko-Rado sets of flags in spherical buildings II

Jan De Beule, Sam Mattheus, Klaus Metsch

We continue our investigation of Erdős-Ko-Rado (EKR) sets of flags in spherical buildings. In previous work, we used the theory of buildings and Iwahori-Hecke algebras to obtain up…

math.CO2023

Maximal cocliques and the chromatic number of the Kneser graph on chambers of PG $(3, q)$

Philipp Heering, Klaus Metsch

Let $Γ$ be the graph whose vertices are the chambers of the finite projective $3$ -space PG $(3, q)$ , with two vertices being adjacent if and only if the corresponding chambers are in…

math.CO2012

Sets of generators blocking all generators in finite classical polar spaces

Jan De Beule, Anja Hallez, Klaus Metsch +1

We introduce generator blocking sets of finite classical polar spaces. These sets are a generalisation of maximal partial spreads. We prove a characterization of these minimal sets…

An algebraic approach to Erdős-Ko-Rado sets of flags in spherical buildings II

Maximal cocliques and the chromatic number of the Kneser graph on chambers of PG(3,q)

Sets of generators blocking all generators in finite classical polar spaces

Maximal cocliques and the chromatic number of the Kneser graph on chambers of PG $(3, q)$