Lexicographic Extensions preserve Euclideaness
Combinatorics
2025-01-30 v1
Abstract
We prove that a lexicographical extension of a Euclidean oriented matroid remains Euclidean.
Cite
@article{arxiv.2501.17287,
title = {Lexicographic Extensions preserve Euclideaness},
author = {Winfried Hochstättler and Michael Wilhelmi},
journal= {arXiv preprint arXiv:2501.17287},
year = {2025}
}
Comments
28 pages, 11 figures, this article has a companion article arXiv:2306.07184, which is called 'Vertex-shellings of Euclidean Oriented Matroids'