English

A graph-theoretical axiomatization of oriented matroids

Combinatorics 2011-06-07 v1

Abstract

We characterize which systems of sign vectors are the cocircuits of an oriented matroid in terms of the cocircuit graph.

Keywords

Cite

@article{arxiv.1106.1038,
  title  = {A graph-theoretical axiomatization of oriented matroids},
  author = {Kolja Knauer and Juan Jose Montellano-Ballesteros and Ricardo Strausz},
  journal= {arXiv preprint arXiv:1106.1038},
  year   = {2011}
}

Comments

6 pages

R2 v1 2026-06-21T18:18:15.635Z