Philipp Heering

activity

20232026

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math.CO2024

Maximum Erdős-Ko-Rado sets of chambers and their antidesigns in vector-spaces of even dimension

Philipp Heering, Jesse Lansdown, Klaus Metsch

A chamber of the vector space $F_{q}^{n}$ is a set ${S_{1}, \dots, S_{n - 1}}$ of subspaces of $F_{q}^{n}$ where $S_{1} \subset S_{2} \subset \dots \subset S_{n - 1}$ and $\dim(S_i)…

math.CO2024

On the largest independent sets in the Kneser graph on chambers of PG(4,q)

Philipp Heering

Let $Γ_{4}$ be the graph whose vertices are the chambers of the finite projective $4$ -space PG(4,q), with two vertices being adjacent if the corresponding chambers are in general pos…