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math.CO2026
Closure operators and geometric modules of valuated matroids
Jaiung Jun, Jeffrey Tolliver
We introduce a closure operator for valuated matroids and prove that it yields a cryptomorphic definition of valuated matroids. As an application, we introduce a class of modules o…
math.CO2025
Matroidal representations of low rank
Jaiung Jun, Kalina Mincheva, Jeffrey Tolliver
We study tropical subrepresentations of the Boolean regular representation of a finite group . These are equivalent to the matroids on ground set for which l…