Forbidden Patterns in Tropical Plane Curves

Abstract

Tropical curves in ${\mathbb{R}}^2$ 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 instance, this yields a full combinatorial characterization of the tropically planar graphs of genus at most five.

References in corpus (1)

• Tropicalized quartics and canonical embeddings for tropical curves of genus 3

Cited by in corpus (1)

• Prism graphs in tropical plane curves