Modular elimination in matroids and oriented matroids

Published 11 Feb 2010 in math.CO | (1002.2357v2)

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.

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Emanuele Delucchi

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