Philipp Heering

works on

chromatic number 1 design theory 1 graph theory 1 incidence-free sets 1 kneser graphs 1 projective planes 1

From the 1 of 8 linked papers with an AI index.

activity

20242026

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7 papers · 1 filter

math.CO2026

A note on the chromatic number of Kneser graphs on chambers of projective planes and incidence-free sets

Philipp Heering, Klaus Metsch, Vladislav Taranchuk +1

The paper provides an elementary proof of a perfect matching in the incidence graph of a symmetric design, links the chromatic number of Kneser graphs on projective‑plane chambers…

math.CO2026

Cocliques in the Kneser graph on $(n - 1, n)$ -flags of PG $(2 n, q)$

Philipp Heering

In the finite projective space PG $(2 n, q)$ we consider flags of type $(n - 1, n)$ , that is, pairs $(A, B)$ consisting of an $(n - 1)$ -space $A$ and an $n$ -space $B$ that are incident. Two…

math.CO2025

Line-parallelisms of PG $(n, 2)$ from Preparata-like codes

Philipp Heering, Vladislav Taranchuk

Partitions of the binary linear Hamming code into Preparata-like codes are known to induce line-parallelisms of PG $(n, 2)$ . In this paper, we show that if $P$ is any Preparata-like…

math.CO2025

On the ErdÅs-Ko-Rado problem of flags with type ${1, n - 3}$ of finite sets

Philipp Heering

A flag of a finite set $S$ is a set $f$ of non-empty, proper subsets of $S$ , such that $X \subseteq Y$ or $Y \subseteq X$ for all $X, Y \in f$ . Two flags $f_{1}$ and $f_{2}$ of $S$ are opp…

math.CO2025

The largest sets of non-opposite chambers in spherical buildings of type $B$

Jan De Beule, Philipp Heering, Sam Mattheus +1

The investigation into large families of non-opposite flags in finite spherical buildings has been a recent addition to a long line of research in extremal combinatorics, extending…

math.CO2024

Maximum ErdÅs-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)…

A note on the chromatic number of Kneser graphs on chambers of projective planes and incidence-free sets

Cocliques in the Kneser graph on (n−1,n)-flags of PG(2n,q)

Line-parallelisms of PG(n,2) from Preparata-like codes

On the ErdÅs-Ko-Rado problem of flags with type {1,n−3} of finite sets

The largest sets of non-opposite chambers in spherical buildings of type B

Maximum ErdÅs-Ko-Rado sets of chambers and their antidesigns in vector-spaces of even dimension

Cocliques in the Kneser graph on $(n - 1, n)$ -flags of PG $(2 n, q)$

Line-parallelisms of PG $(n, 2)$ from Preparata-like codes

On the ErdÅs-Ko-Rado problem of flags with type ${1, n - 3}$ of finite sets

The largest sets of non-opposite chambers in spherical buildings of type $B$

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