Joswig, MichaelTewari, Ayush Kumar2021-03-042021-03-042020-08-190138-4821https://depositonce.tu-berlin.de/handle/11303/12714http://dx.doi.org/10.14279/depositonce-11514Tropical curves in 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.en510 Mathematikmoduli of tropical plane curvessplitstriangulationspatternsplanar graphsArticle2191-0383