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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…
math.CO2025
Totally equimodular matrices: decomposition and triangulation
Patrick Chervet, Roland Grappe, Mathieu Vallée
Totally equimodular matrices generalize totally unimodular matrices and arise in the context of box-total dual integral polyhedra. This work further explores the parallels between…