Highly Connected Matroids in Minor-closed Classes
|Affiliation:||University of Waterloo|
|Room:||Mathematics 3 (M3) 3103|
With Bert Gerards and Geoff Whittle we have a structural
characterization of the matroids in any minor-closed class over any given
finite field. The structural description is qualitative in that not all of the matroids with the prescribed structure need be in the class. However, for sufficiently connected matroids, we can give a precise structural characterization. In this talk I will describe that characterization as well as a number of potential applications.
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