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- W1986324672 abstract "We study the class of real-valued functions on convex subsets of R^n which are computed by the maximum of finitely many affine functionals with integer slopes. We prove several results to the effect that this property of a function can be detected by sampling on small subsets of the domain. In so doing, we recover in a unified way some prior results of the first author (some joint with Liang Xiao). We also prove that a function on R^2 is a tropical polynomial if and only if its restriction to each translate of a generic tropical line is a tropical polynomial." @default.
- W1986324672 created "2016-06-24" @default.
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- W1986324672 date "2008-11-19" @default.
- W1986324672 modified "2023-09-27" @default.
- W1986324672 title "Detecting integral polyhedral functions" @default.
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