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math.CO2026
Condensed configurations and valuative matroid invariants
Jens Niklas Eberhardt
Condensed configurations are compact incidence data obtained by grouping the cyclic flats of a matroid. We show that their inverse incidence matrices give explicit Schubert expansi…
math.CO2014
Computing the Tutte Polynomial of a Matroid from its Lattice of Cyclic Flats
Jens Niklas Eberhardt
We show how the Tutte polynomial of a matroid can be computed from its condensed configuration, which is a statistic of its lattice of cyclic flats. The results imply that the…