F. Ihringer

activity

20132026

most citedAffine vector space partitions

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

collaborators

Showing 2020Show all

5 papers · 1 filter

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★ 1 cited

Switching for Small Strongly Regular Graphs

Ferdinand Ihringer

We provide an abundance of strongly regular graphs (SRGs) for certain parameters $(n, k, λ, μ)$ with $n < 100$ . For this we use Godsil-McKay (GM) switching with a partition of type…

math.CO2020★ 4 cited

Cameron-Liebler $k$ -sets in $AG (n, q)$

Jozefien D'haeseleer, Ferdinand Ihringer, Jonathan Mannaert +1

We study Cameron-Liebler $k$ -sets in the affine geometry, so sets of $k$ -spaces in $AG (n, q)$ . This generalizes research on Cameron-Liebler $k$ -sets in the projective geomet…

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…

A Note on a Construction by Pavese and Smaldore

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

Switching for Small Strongly Regular Graphs

Cameron-Liebler k-sets in AG(n,q)

Remarks on the Erdős Matching Conjecture for Vector Spaces

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

Cameron-Liebler $k$ -sets in $AG (n, q)$