Bill Jackson

Maximal Matroids in Weak Order Posets

Let X be a family of subsets of a finite set E. A matroid on E is said to be an X-matroid if each set in X is a circuit. We consider the problem of determining when there exists a unique maximal X-matroid in the weak order poset of all X-matroids on E. This is joint work with Katie Clinch and Shin-Ichi Tanigawa.