Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4654007 | European Journal of Combinatorics | 2011 | 5 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Emanuele Delucchi,