RT Journal Article
T1 A Note on Tropical Triangles in the Plane
A1 Puente Muñoz, María Jesús De La
A1 Ansola Fernández-Enríquez, Maria Macarena
AB 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.
PB Springer Verlag
SN 1439-8516
YR 2009
FD 2009-11
LK https://hdl.handle.net/20.500.14352/41950
UL https://hdl.handle.net/20.500.14352/41950
LA eng
NO MTM
NO UCM
DS Docta Complutense
RD 16 abr 2025