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Presentations and Extensions of Transversal Matroids 09/06/2018

Speaker: Joe Bonin, GWU
Date and time: Thursday, September 6, 4–5 pm
Location: Phillips 110

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.