2 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.CO2025
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…