Modular elimination in matroids and oriented matroids

Abstract. We introduce a new axiomatization of oriented matroids that requires the elimination property only among modular pairs of circuits. This new point of view leads also to a similar strenghtening of the circuit axioms for oriented matroids.

• Type: Journal
• Year: 2011
• Where: EJC
• Authors: Emanuele Delucchi
• Keywords: EJC 2011, Information Technology, Matroids, Modular Pairs, Similar Strenghtening