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math.CO2022★ 1 cited
Alternatives for the -matroid axioms of independent spaces, bases, and spanning spaces
Michela Ceria, Relinde Jurrius
It is well known that in q-matroids, axioms for independent spaces, bases, and spanning spaces differ from the classical case of matroids, since the straightforward q-analogue of t…
math.CO2022★ 1 cited
Combinatorial Derived Matroids
Olga Kuznetsova, Ragnar Freij-Hollanti, Relinde Jurrius
Let be an arbitrary matroid with circuits . We propose a definition of a derived matroid that has as its ground set . Unlike previous attem…