2004/01/01 by Mike Develin, Bernd Sturmfels · 180 citations
Computer Science · Mathematics · #Polynomial and algebraic computation #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry and Number Theory #Mathematics #Convexity #Pure mathematics #Mathematical economics
paper · pdf · doi:10.4171/dm/154
published in Documenta Mathematica 9, 1-27
openalex publication_date 2004/01/01 · openalex created_date 2023/02/14 · openalex updated_date 2026/07/29
The notions of convexity and convex polytopes are introduced in the setting of tropical geometry. Combinatorial types of tropical polytopes are shown to be in bijection with regular triangulations of products of two simplices. Applications to phylogenetic trees are discussed.