F. Ihringer

activity

20162022

most citedSome non-existence results for distance-

j

ovoids in small generalized polygons

2 citations · 2 across the 6 of their papers we have counts for

collaborators

13 papers

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

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.CO2020

A Note on a Construction by Pavese and Smaldore

Ferdinand Ihringer

Recently, Pavese and Smaldore constructed graphs cospectral to $N U (5, q^{2})$ for $q > 2$ . We show that their construction works for $N U (n, q^{2})$ , $n \geq 5$ . Hence, none of the graphs…

math.CO2020

Graphs cospectral with NU $(n + 1, q^{2})$ , $n \neq = 3$

Ferdinand Ihringer, Francesco Pavese, Valentino Smaldore

Let $H (n, q^{2})$ be a non-degenerate Hermitian variety of $P G (n, q^{2})$ , $n \geq 2$ . Let NU $(n + 1, q^{2})$ be the graph whose vertices are the points of $P G (n, q^{2}) ∖ H (n, q^{2})$ …

math.CO2020

Remarks on the Erdős Matching Conjecture for Vector Spaces

Ferdinand Ihringer

In 1965, Paul Erdős asked about the largest family $Y$ of $k$ -sets in ${1, \dots, n}$ such that $Y$ does not contain $s + 1$ pairwise disjoint sets. This problem is commonly kno…

math.CO2019

On the Algebraic Combinatorics of Injections and its Applications to Injection Codes

Peter J. Dukes, Ferdinand Ihringer, Nathan Lindzey

We consider the algebraic combinatorics of the set of injections from a $k$ -element set to an $n$ -element set. In particular, we give a new combinatorial formula for the spherical…

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

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

A Note on a Construction by Pavese and Smaldore

Graphs cospectral with NU(n+1,q2), n=3

Remarks on the Erdős Matching Conjecture for Vector Spaces

On the Algebraic Combinatorics of Injections and its Applications to Injection Codes

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

Graphs cospectral with NU $(n + 1, q^{2})$ , $n \neq = 3$