Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Prism graphs in tropical plane curves   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 two points than can simultaneously
view all others, without having any one point that can observe all others.

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The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
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The categories of this paper are: dg-ga
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
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The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
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The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-bio
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The categories of this paper are: quant-ph
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The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ