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math.CO2023★ 1 cited
A Regular Unimodular Triangulation of the Matroid Base Polytope
Spencer Backman, Gaku Liu
We produce the first regular unimodular triangulation of an arbitrary matroid base polytope. We then extend our triangulation to integral generalized permutahedra. Prior to this wo…
math.CO2023
-vector inequalities under weak maps
Gaku Liu, Alexander Mason
We study the behavior of -vectors associated to matroid complexes under weak maps, or inclusions of matroid polytopes. Specifically, we show that the -vector of the order com…