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math.CO2023
Cyclic Orderings of Paving Matroids
Sean McGuinness
A matroid M is cyclically orderable if there is a cyclic permutation of the elements of M such that any r consecutive elements form a basis in M. An old conjecture of Kajitani, Miy…
math.CO2023
Serial Exchanges in Random Bases
Sean McGuinness
It was conjectured by Kotlar and Ziv that for any two bases and in a matroid and any subset , there is a subset and orderings $x_1 \prec x_2 \pre…