3 papers
math.CO2025
Mutations and (Non-)Euclideaness in oriented matroids
Michael Wilhelmi
We call an oriented matroid Mandel if it has an extension in general position which makes all programs with that extension Euclidean. If is the minimum number of mutations adja…
math.CO2023
Vertex-shellings of Euclidean Oriented Matroids
Winfried Hochstättler, Michael Wilhelmi
A Euclidean oriented matroid program yields a partial ordering of the cocircuits of its cocircuit graph. We show that every linear extension of that ordering yields a topological s…
math.CO2017
Sticky matroids and Kantor's Conjecture
Winfried Hochstättler, Michael Wilhelmi
We prove the equivalence of Kantor's Conjecture and the Sticky Matroid Conjecture due to Poljak und Turzík.