Clique minors in dense matroids
Abstract
The objective of this thesis is to bound the number of points a $U_{2,\ell+2}$- and $M(K_{k+1})$-minor-free matroid has. We first prove that a sufficiently large matroid will contain a structure called a tower. We then use towers to find a complete minor in a matroid with no $U_{2,\ell+2}$-minor.
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Cite this version of the work
Fernanda Rivera Omana
(2022).
Clique minors in dense matroids. UWSpace.
http://hdl.handle.net/10012/18783
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