Article ID Journal Published Year Pages File Type
4654007 European Journal of Combinatorics 2011 5 Pages PDF
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
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