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• #### On The Density of Binary Matroids Without a Given Minor ﻿

(University of Waterloo, 2016-12-21)
This thesis is motivated by the following question: how many elements can a simple binary matroid with no $\PG(t,2)$-minor have? This is a natural analogue of questions asked about the density of graphs in minor-closed ...
• #### Quadratically Dense Matroids ﻿

(University of Waterloo, 2020-07-08)
This thesis is concerned with finding the maximum density of rank-$n$ matroids in a minor-closed class. The extremal function of a non-empty minor-closed class $\mathcal M$ of matroids which excludes a rank-2 uniform ...

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