Tropical curves in R^ 2 R 2 correspond to metric planar graphs but not all planar graphs
arise in this way. We describe several new classes of graphs which cannot occur. For …

Two lattice points are visible to one another if there exist no other lattice points on the line
segment connecting them. In this paper we study convex lattice polygons that contain a …

Tropical mathematics redefines the rules of arithmetic by replacing addition with taking a
maximum, and by replacing multiplication with addition. After briefly discussing a tropical …

We study tropically planar graphs, which are the graphs that appear in smooth tropical plane
curves. We develop necessary conditions for graphs to be tropically planar, and compute the …

Given a lattice polygon, we study the moduli space of all tropical plane curves with that
Newton polygon. We determine a formula for the dimension of this space in terms of …

Characterization of tropical plane curves up to genus six | Archiv der Mathematik Skip to main
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Given a lattice polygon P with g interior lattice points, we can associate to PP two moduli
spaces: the moduli space of algebraic curves that are non-degenerate with respect to PP …

Any smooth tropical plane curve contains a distinguished trivalent graph called its skeleton.
In 2020 Morrison and Tewari proved that the so-called big-face graphs cannot be the skeleta …

Tropical plane curves are one of the building blocks in the study of tropical algebraic
geometry. A lot of work has been done to understand and establish connections between …