# Prism graphs in tropical plane curves

@article{Jacoby2021PrismGI, title={Prism graphs in tropical plane curves}, author={Liza Jacoby and Ralph Morrison and Ben Weber}, journal={Involve, a Journal of Mathematics}, year={2021} }

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 of tropical curves for genus $12$ and greater. In this paper we answer an open question they posed to extend their result to the prism graphs, proving that they are the skeleton of a smooth tropical plane curve precisely when the genus is at most $11$. Our main tool is a classification of lattice polygons with…

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