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math.CO2021★ 2 cited
Maps and -matroids revisited
Rémi Cocou Avohou, Brigitte Servatius, Herman Servatius
Using Tutte's combinatorial definition of a map we define a -matroid purely combinatorially and show that it is identical to Bouchet's topological definition.
math.CO2021
Generate -matroids from matroids
Rémi Cocou Avohou, Brigitte Servatius, Herman Servatius
We give necessary and sufficient conditions for two matroids on the same ground set to be the upper and lower matroid of a -matroid.