F. Ihringer

activity

20132026

most citedAffine vector space partitions

6 citations · 31 across the 45 of their papers we have counts for

collaborators

Showing 2022Show all

7 papers · 1 filter

math.CO2022★ 5 cited

Irreducible subcube partitions

Yuval Filmus, Edward Hirsch, Sascha Kurz +4

A \emph{subcube partition} is a partition of the Boolean cube ${0, 1}^{n}$ into subcubes. A subcube partition is irreducible if the only sub-partitions whose union is a subcube are…

math.CO2022

Large $(k; r, s; n, q)$ -sets in Projective Spaces

Ferdinand Ihringer, Jacques Verstraëte

A $(k; r, s; n, q)$ -set (short: $(r, s)$ -set) of $PG (n, q)$ is a set of points $X$ with $∣ X ∣ = k$ such that no $s$ -space contains more than $r$ points of $X$ . We investigat…

math.CO2022★ 6 cited

Affine vector space partitions

John Bamberg, Yuval Filmus, Ferdinand Ihringer +1

An affine vector space partition of $AG (n, q)$ is a set of proper affine subspaces that partitions the set of points. Here we determine minimum sizes and enumerate eq…

math.CO2022

The proportion of non-degenerate complementary subspaces in classical spaces

S. P. Glasby, Ferdinand Ihringer, Sam Mattheus

Given positive integers $e_{1}, e_{2}$ , let $X_{i}$ denote the set of $e_{i}$ -dimensional subspaces of a fixed finite vector space $V = (F_{q})^{e_{1} + e_{2}}$ . Let $Y_{i}$ be a non-empty sub…

math.CO2022

Approximately Strongly Regular Graphs

Ferdinand Ihringer

We give variants of the Krein bound and the absolute bound for graphs with a spectrum similar to that of a strongly regular graph. In particular, we investigate what we call approx…

math.CO2022

Non-Geometric Cospectral Mates of Line Graphs with a Linear Representation

Ferdinand Ihringer

For an incidence geometry $G = (P, L, I)$ with a linear representation $T_{n}^{*} (K)$ , we apply WQH switching to construct a no…

math.CO2022★ 3 cited

Degree 2 Boolean Functions on Grassmann Graphs

Jan De Beule, Jozefien D'haeseleer, Ferdinand Ihringer +1

We investigate the existence of Boolean degree $d$ functions on the Grassmann graph of $k$ -spaces in the vector space $F_{q}^{n}$ . For $d = 1$ several non-existence and classifi…

Irreducible subcube partitions

Large (k;r,s;n,q)-sets in Projective Spaces

Affine vector space partitions

The proportion of non-degenerate complementary subspaces in classical spaces

Approximately Strongly Regular Graphs

Non-Geometric Cospectral Mates of Line Graphs with a Linear Representation

Degree 2 Boolean Functions on Grassmann Graphs

Large $(k; r, s; n, q)$ -sets in Projective Spaces