Modular elimination in matroids and oriented matroids
Combinatorics
2016-08-23 v2
Abstract
We introduce a new axiomatization of matroid theory that requires the elimination property only among modular pairs of circuits, and we present a cryptomorphic phrasing thereof in terms of Crapo's axioms for flats. This new point of view leads to a corresponding strengthening of the circuit axioms for oriented matroids.
Keywords
Cite
@article{arxiv.1002.2357,
title = {Modular elimination in matroids and oriented matroids},
author = {Emanuele Delucchi},
journal= {arXiv preprint arXiv:1002.2357},
year = {2016}
}
Comments
6 pages; v2: text modified in order to better reflect the published version, references updated