8 citations · 50 across the 16 of their papers we have counts for
Showing 2019Show all
3 papers · 1 filter
math.CO2019★ 6 cited
Representability of Matroids by c-Arrangements is Undecidable
Lukas Kühne, Geva Yashfe
For a natural number , a -arrangement is an arrangement of dimension subspaces satisfying the following condition: the sum of any subset of the subspaces has dimension a…
math.CO2019★ 6 cited
On the generation of rank 3 simple matroids with an application to Terao's freeness conjecture
Mohamed Barakat, Reimer Behrends, Christopher Jefferson +2
In this paper we describe a parallel algorithm for generating all non-isomorphic rank simple matroids with a given multiplicity vector. We apply our implementation in the HPC v…
math.AC2019★ 1 cited
Locally Heavy Hyperplanes in Multiarrangements
Takuro Abe, Lukas Kühne
Hyperplane Arrangements of rank admitting an unbalanced Ziegler restriction are known to fulfill Terao's conjecture. This long-standing conjecture asks whether the freeness of…