Modular elimination in matroids and oriented matroids

Details Modular elimination in matroids and oriented matroids Modular elimination in matroids and oriented matroids

2010-02-11

arxiv.org/abs/1002.2357v1

Mathematics

Combinatorics

6 pages

Scientific paper

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.

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