F. Ihringer

activity

20132026

most citedAffine vector space partitions

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

collaborators

Showing 2026Show all

5 papers · 1 filter

math.CO2026

Optimally pseudorandom $K_{4}$ -free graphs

Jie Han, Ferdinand Ihringer, Hendrik Van Maldeghem

We show that optimally pseudorandom $K_{4}$ -free graphs of order $n$ and degree $d = Θ (n^{4/5})$ exist by constructing a graph in the split Cayley hexagon, matching the known upper b…

math.CO2026

An improved algebraic construction for Ramsey numbers

Ferdinand Ihringer, Sam Mattheus

We provide an explicit algebraic construction showing that, uniformly for integers $3 \leq s \leq t$ , as $t \to \infty$ , \[ R( s,t ) \geq t^{(1-o(1)) \log s / \log(\log s + 1) }. \…

math.CO2026

Structure of $t$ -Intersecting Families of Vector Spaces

Ferdinand Ihringer, Andrey Kupavskii

We study $t$ -intersecting and $t$ -cross-intersecting families of $k$ -dimensional subspaces in finite vector spaces of dimension $n$ . We show that all large $t$ -intersecting familie…

math.CO2026

On the construction of large local arcs

Ferdinand Ihringer, Yue Zhou

Motivated by the construction of optimal locally repairable codes, we introduce the new finite geometric concept of a \emph{local arc} which is defined as a collection $\mathcal{S}…

math.CO2026

Skirting the $n$ -tuples

Sam Adriaensen, Ferdinand Ihringer, William J. Martin +1

Let $n \geq 2$ and $q \geq 2$ be given. The set $X = Z_{q}^{n}$ is a metric space of diameter $n$ under the Hamming metric $d (\cdot, \cdot)$ . We seek a smallest set $S \subseteq X$ t…

Optimally pseudorandom K4​-free graphs

An improved algebraic construction for Ramsey numbers

Structure of t-Intersecting Families of Vector Spaces

On the construction of large local arcs

Skirting the n-tuples

Optimally pseudorandom $K_{4}$ -free graphs

Structure of $t$ -Intersecting Families of Vector Spaces

Skirting the $n$ -tuples