Triangulations of ${\Delta }_{n-1}\times {\Delta }_{d-1}$ and Tropical Oriented Matroids

Suho Oh, Hwanchul Yoo

Develin and Sturmfels showed that regular triangulations of ${\Delta }_{n-1}\times {\Delta }_{d-1}$ can be thought as tropical polytopes. Tropical oriented matroids were defined by Ardila and Dev…