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Open AccessMathematicsBiology

Tropical convexity

M. Develin, B. Sturmfels

2003.8.27DOCUMENTA MATHEMATICA

DOI: 10.4171/dm/154

tlooto Summary

Combinatorial types of tropical polytopes are shown to be in bijection with regular triangulations of products of two simplices and applications to phylogenetic trees are discussed.

Abstract

. 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.

Citation format

DEVELIN, M.; STURMFELS, B. Tropical convexity [preprint]. arXiv, 2003. arXiv:math/0308254.