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Monotone Diameters of Lattice Polytopes

Black, Alexander E.
arXiv (All) · Papers
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52b05combinatoricsoptimization-and-control
An influential 1989 result of Naddef shows that the diameters of $0/1$-polytopes are at most their dimension. This was extended shortly after by Kleinschmidt and Onn to any lattice polytope in $[0,k]^{d}$, where they showed a bound of at most $dk$. Naddef's argument easily extends to the monotone se
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