Tropically planar graphs

D Coles, N Dutta, S Jiang, R Morrison… - Collectanea Mathematica, 2021 - Springer
We study tropically planar graphs, which are the graphs that appear in smooth tropical plane
curves. We develop necessary conditions for graphs to be tropically planar, and compute the …

Prism graphs in tropical plane curves

L Jacoby, R Morrison, B Weber - Involve, a Journal of Mathematics, 2021 - msp.org
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 …