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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.CO2026
Enumerating Toric-Colorable Seeds of Picard Number Five via Binary Matroids
Suyoung Choi, Mathieu Vallée
We introduce a binary matroid framework for the enumeration of mod toric-colorable seeds of fixed Picard number. Working with binary matroids up to isomorphism, we organize the…
math.CO2024
Stellar subdivisions, wedges and Buchstaber numbers
Suyoung Choi, Hyeontae Jang
A seed is a PL sphere that is not obtainable by a wedge operation from any other PL sphere. In this paper, we study two operations on PL spheres, known as the stellar subdivision a…