JournalsdmVol. 9pp. 1–27

Tropical convexity

  • Mike Develin

  • Bernd Sturmfels

Tropical convexity cover
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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.

A correction to this paper is available.

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Mike Develin, Bernd Sturmfels, Tropical convexity. Doc. Math. 9 (2004), pp. 1–27

DOI 10.4171/DM/154