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20162026
most citedAffine vector space partitions

6 citations · 14 across the 26 of their papers we have counts for

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Showing 2017Show all

5 papers · 1 filter

math.CO2017

The binary -analogue of the Fano plane has a trivial automorphism group

John Bamberg, Ferdinand Ihringer, Jesse Lansdown +1

A -analogue of a -design is a set of subspaces (of dimension ) of a finite vector space over a field of order such that each subspace is contained in a con…

math.CO2017

Regular Intersecting Families

Ferdinand Ihringer, Andrey Kupavskii

We call a family of sets intersecting, if any two sets in the family intersect. In this paper we investigate intersecting families of -element subsets of $[n]:=\{1…

math.CO2017

The smallest eigenvalues of Hamming graphs, Johnson graphs and other distance-regular graphs with classical parameters

Andries E. Brouwer, Sebastian M. Cioabă, Ferdinand Ihringer +1

We prove a conjecture by Van Dam and Sotirov on the smallest eigenvalue of (distance-) Hamming graphs and a conjecture by Karloff on the smallest eigenvalue of (distance-) Jo…

math.CO2017

New bounds on the Ramsey number

Ferdinand Ihringer, Deepak Rajendraprasad, Thilo V. Weinert

We investigate the Ramsey numbers which is the minimal natural number such that every oriented graph on vertices contains either an independent set of size $m…

math.CO2017

Ovoids of Generalized Quadrangles of Order and Delsarte Cocliques in Related Strongly Regular Graphs

Mohammad Adm, Ryan Bergen, Ferdinand Ihringer +4

We investigate strongly regular graphs for which Hoffman's ratio bound and Cvetcović's inertia bound are equal. This means that , where is the number of ve…