Add to ORKGThe 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
Tropical geometry is a relatively new field of mathematics that studies the tropicalization map: a m...
This paper is about the combinatorics of finite point configurations in the tropical projective spac...
AbstractWe discuss the tropical analogues of several basic questions of convex duality. In particula...
This master thesis investigates discrete geometry in the tropical semiring (R,min,+), setting its ma...
We establish a new notion of tropical convexity for signed tropical numbers. We provide several equi...
Tropical geometry is an area of mathematics that has enjoyed a quick development in the last 15 year...
In recent decades, tropical mathematics gradually evolved as a field of study in mathematics and it ...
We extend the fundamentals for tropical convexity beyond the tropically positive orthant expanding t...
The authors thank the anonymous referee for many useful comments, and in particular for drawing our ...
Abstract The tropical convex hull of a finite set of points in tropical projective space has a natur...
Tropical geometry is an emerging field with strong connections in a wide array of areas both inside ...
We establish a new notion of tropical convexity for signed tropical numbers. We provide several equi...
Tropical plane curves are one of the building blocks in the study of tropical algebraic geometry. A ...
Abstract. Using a potential theory on metric graphs Γ, we introduce the notion of tropical convexity...
Develin and Sturmfels showed that regular triangulations of ∆n−1 × ∆d−1 can be thought as tropical p...
Tropical geometry is a relatively new field of mathematics that studies the tropicalization map: a m...
This paper is about the combinatorics of finite point configurations in the tropical projective spac...
AbstractWe discuss the tropical analogues of several basic questions of convex duality. In particula...
This master thesis investigates discrete geometry in the tropical semiring (R,min,+), setting its ma...
We establish a new notion of tropical convexity for signed tropical numbers. We provide several equi...
Tropical geometry is an area of mathematics that has enjoyed a quick development in the last 15 year...
In recent decades, tropical mathematics gradually evolved as a field of study in mathematics and it ...
We extend the fundamentals for tropical convexity beyond the tropically positive orthant expanding t...
The authors thank the anonymous referee for many useful comments, and in particular for drawing our ...
Abstract The tropical convex hull of a finite set of points in tropical projective space has a natur...
Tropical geometry is an emerging field with strong connections in a wide array of areas both inside ...
We establish a new notion of tropical convexity for signed tropical numbers. We provide several equi...
Tropical plane curves are one of the building blocks in the study of tropical algebraic geometry. A ...
Abstract. Using a potential theory on metric graphs Γ, we introduce the notion of tropical convexity...
Develin and Sturmfels showed that regular triangulations of ∆n−1 × ∆d−1 can be thought as tropical p...
Tropical geometry is a relatively new field of mathematics that studies the tropicalization map: a m...
This paper is about the combinatorics of finite point configurations in the tropical projective spac...
AbstractWe discuss the tropical analogues of several basic questions of convex duality. In particula...