Prism graphs in tropical plane curves

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



Convex lattice polygons with all lattice points visible

Tropically planar graphs. arXiv e-prints, page arXiv:1908.04320

  • August 2019
  • 2019

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  • W. Castryck
  • Mathematics, Computer Science
    Discret. Comput. Geom.
  • 2012
The dual operations of taking the interior hull and moving out the edges of a two-dimensional lattice polygon are reviewed and it is shown how the latter operation naturally gives rise to an algorithm for enumerating lattice polygons by their genus.

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