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Regular Round Matroids

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.

Identiferoai:union.ndltd.org:csusb.edu/oai:scholarworks.lib.csusb.edu:etd-1481
Date01 December 2016
CreatorsBorissova, Svetlana
PublisherCSUSB ScholarWorks
Source SetsCalifornia State University San Bernardino
Detected LanguageEnglish
Typetext
Formatapplication/pdf
SourceElectronic Theses, Projects, and Dissertations

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