Date of Award
12-2016
Document Type
Thesis
Degree Name
Master of Arts in Mathematics
Department
Mathematics
First Reader/Committee Chair
Aikin, Jeremy
Abstract
A matroid M is a finite set E, called the ground set of M, together with a notion of what it means for subsets of E to be independent. Some matroids, called regular matroids, have the property that all elements in their ground set can be represented by vectors over any field. A matroid is called round if its dual has no two disjoint minimal dependent sets. Roundness is an important property that was very useful in the recent proof of Rota's conjecture, which remained an unsolved problem for 40 years in matroid theory. In this thesis, we give a characterization of regular round matroids.
Recommended Citation
Borissova, Svetlana, "Regular Round Matroids" (2016). Electronic Theses, Projects, and Dissertations. 423.
https://scholarworks.lib.csusb.edu/etd/423