Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A tropical isoperimetric inequality   We introduce tropical analogues of the notion of volume of polytopes, leading
to a tropical version of the (discrete) classical isoperimetric inequality. The
planar case is elementary, but a higher-dimensional generalization leads to an
interesting class of ordinary convex polytopes, characterizing the equality
case in the isoperimetric inequality. This study is motivated by open
complexity questions concerning linear optimization and its tropical analogs.

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The categories of this paper are: plasm-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
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The categories of this paper are: ao-sci
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The categories of this paper are: gr-qc
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The categories of this paper are: comp-gas
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: nlin
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The categories of this paper are: acc-phys
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The categories of this paper are: cond-mat
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The categories of this paper are: patt-sol
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The categories of this paper are: cmp-lg
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The categories of this paper are: cs
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The categories of this paper are: hep-ex
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The categories of this paper are: econ