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- W2099333728 abstract "We consider functions $f:BtoRset$ that obey tropical analogs of classical Plucker relations on minors of a matrix. The most general set $B$ that we deal with in this paper is of the form ${xin Zset^ncolon 0le xle a, mle x_1+...+x_nle m'}$ (a rectangular integer box ``truncated from below and above''). We construct a basis for the set $Tscr$ of tropical Plucker functions on $B$, a subset $Bscrsubseteq B$ such that the restriction map $TscrtoRset^Bscr$ is bijective. Also we characterize, in terms of the restriction to the basis, the classes of submodular, so-called skew-submodular, and discrete concave functions in $Tscr$, discuss a tropical analogue of the Laurentness property, and present other results." @default.
- W2099333728 created "2016-06-24" @default.
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- W2099333728 date "2007-12-24" @default.
- W2099333728 modified "2023-09-27" @default.
- W2099333728 title "On bases of tropical Plücker functions" @default.
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