Combinatorial Derived Matroids

Olga Kuznetsova, Ragnar Freij-Hollanti, Relinde Jurrius

Let $M$ be an arbitrary matroid with circuits $\mathcal{C}(M)$. We propose a definition of a derived matroid $\delta M$ that has as its ground set $\mathcal{C}(M)$. Unlike previous attem…