A note on tropical triangles in the plane |
| |
Authors: | M Ansola M J de la Puente |
| |
Institution: | Departamento de Algebra Facultad de Matemdticas, Universidad Complutense, Madrid 28040, Spain |
| |
Abstract: | We define transversal tropical triangles (affine and projective) and characterize them via six inequalities to be satisfied
by the coordinates of the vertices. We prove that the vertices of a transversal tropical triangle are tropically independent
and they tropically span a classical hexagon whose sides have slopes ∞, 0, 1. Using this classical hexagon, we determine a
parameter space for transversal tropical triangles. The coordinates of the vertices of a transversal tropical triangle determine
a tropically regular matrix. Triangulations of the tropical plane are obtained. |
| |
Keywords: | tropical triangles tropical triangulation linear inequalities convexity tropical semi-field |
本文献已被 维普 SpringerLink 等数据库收录! |