Combinatorics- Presentations and Extensions of Transversal Matroids

Speaker: J. Bonin, GWU
Title: Presentations and Extensions of Transversal Matroids
Abstract: If a matroid M can be represented over a field F by the columns of a matrix A, then the choice of the matrix can limit which single-element, rank-preserving extensions of M can be represented by adjoining a column to A.  We consider analogous ideas for transversal matroids and their presentations.  Sufficient background on transversal matroids will be included to make the talk largely self-contained.