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math.CO2017
Universal Tutte characters via combinatorial coalgebras
Clément Dupont, Alex Fink, Luca Moci
The Tutte polynomial is the most general invariant of matroids and graphs that can be computed recursively by deleting and contracting edges. We generalize this invariant to any cl…
math.CO2017
Polyhedra and parameter spaces for matroids over valuation rings
Alex Fink, Luca Moci
In this paper we address two of the major foundational questions in the theory of matroids over rings. First, we provide a cryptomorphic axiomatisation, by introducing an analogue…