Develin, Mike; Sturmfels, Bernd

Tropical convexity

Doc. Math., J. DMV 9, 1-27 (2004)


Summary: 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.

Mathematics Subject Classification

52A30, 92B10