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- W2552443437 abstract "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." @default.
- W2552443437 created "2016-11-30" @default.
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- W2552443437 date "2017-07-09" @default.
- W2552443437 modified "2023-10-01" @default.
- W2552443437 title "A tropical isoperimetric inequality" @default.
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