We introduce and study a family of polytopes which can be seen as a generalization of the permutahedron of type $$B_d$$ B d . We highlight connections with the largest possible diameter of the convex hull of a set of points in dimension d whose coordinates are integers between 0 and k, and with the computational complexity of multicriteria matroid optimization.
Discrete & Computational Geometry – Springer Journals
Published: Feb 28, 2017
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