Real Algebraic and Analytic Geometry
Submission: 2007, February 13.
We define tropical triangles (affine and projective) and characterize them via six inequalities to be satisfied by the coordinates of the vertices. Triangulations of the tropical plane are thus obtained.
Mathematics Subject Classification (2000): 05B99, 52C35, 15A39, 12K99, 05C05, 52A30.
Keywords and Phrases: affine tropical triangles, projective tropical triangles, convexity.
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