4 citations · 4 across the 4 of their papers we have counts for
5 papers
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…
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…
Complete non-singular toric varieties with Picard number 4
Suyoung Choi, Hyeontae Jang, Mathieu Vallée
We classify all complete non-singular toric varieties with Picard number four via a combinatorial framework based on fanlike simplicial spheres and characteristic maps. This classi…
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…
An algorithmic strategy for finding characteristic maps over wedged simplicial complexes
Suyoung Choi, Mathieu Vallée
The puzzle method was introduced by Choi and Park as an effective method for finding non-singular characteristic maps over wedged simplicial complexes obtained from a given…