Forbidden patterns in tropical plane curves
Michael Joswig, Ayush Kumar Tewari · Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry · 2020
Abstract Tropical curves in $${\mathbb {R}}^2$$ 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 instance, this yields a full combinatorial characterization of the tropically planar graphs of genus at most five.