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math.CO2023
Minors of matroids represented by sparse random matrices over finite fields
Pu Gao, Peter Nelson
Consider a random matrix over the finite field of order where every column has precisely nonzero elements, and let be the matroid represented by .…
math.CO2023
On the density of matroids omitting a complete-graphic minor
Peter Nelson, Sergey Norin, Fernanda Rivera Omana
We show that, if is a simple rank- matroid with no -point line minor and no minor isomorphic to the cycle matroid of a -vertex complete graph, then the ratio $|M| /…