Discrete CATS Seminar
Note special day and time!
Speaker: JiYoon Jung, Marshall University
Title: Lattice path matroid polytopes
Abstract: A lattice path matroid is a transversal matroid
corresponding to a pair of lattice paths on the plane. A matroid base
polytope is the polytope whose vertices are the incidence vectors of
the bases of the given matroid. In this talk, we study the facial
structures of matroid base polytopes corresponding to lattice path
matroids. In the case of a border strip, we show that all faces of a
lattice path matroid polytope can be described by certain subsets of
deletions, contractions, and direct sums. In particular, we express
them in terms of the lattice path obtained from the border
strip. Subsequently, the facial structures of a lattice path matroid
polytope for a general case are explained in terms of certain tilings
of skew shapes inside the given region.
Zoom meeting number: 868 0578 9053