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math.CO2026
Regular dyadic triangulations of delta-matroid polytopes
Mathieu Vallée
Backman and Liu proved that every integral generalized permutohedron of type , and in particular every matroid base polytope, admits a regular unimodular triangulation. The anal…
math.CO2026
Complement minimally non-totally unimodular matrices
Suyoung Choi, Mathieu Vallée
We prove that, up to row and column permutations and complement operations, the only complement minimally non-totally unimodular matrices are the cycle matrices and . Th…