15 papers
An improved algebraic construction for Ramsey numbers
Ferdinand Ihringer, Sam Mattheus
We provide an explicit algebraic construction showing that, uniformly for integers , as , \[ R( s,t ) \geq t^{(1-o(1)) \log s / \log(\log s + 1) }. \…
New Constructions of Distance-Biregular Graphs
Blas Fernández, Ferdinand Ihringer, Sabrina Lato +1
We construct a new family of distance-biregular graphs related to hyperovals and a new sporadic example of a distance-biregular graph related to Mathon's perp system. The infinite…
Small genus, small index critical points of the systole function
Ni An, Ferdinand Ihringer, Ingrid Irmer
In this paper the index of a family of critical points of the systole function on Teichmüller space is calculated. The members of this family are interesting in that their existen…
Structure of -Intersecting Families of Vector Spaces
Ferdinand Ihringer, Andrey Kupavskii
We study -intersecting and -cross-intersecting families of -dimensional subspaces in finite vector spaces of dimension . We show that all large -intersecting familie…
Bijection Between Point-Hyperplane Anti-Flags of and Non-Singular Points of
Ferdinand Ihringer, Antonio Pasini
We give a bijection between the point-hyperplane antiflags of and the nonsingular points of with respect to a hyperbolic quadric. With the help of…
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}…