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Forbidden patterns in tropical plane curves

Joswig, Michael; Tewari, Ayush Kumar

Tropical 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.
Published in: Beiträge zur Algebra und Geometrie = Contributions to Algebra and Geometry, 10.1007/s13366-020-00523-6, SpringerNature