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- W2009773457 abstract "The skeleton of a polyhedral set is the union of its edges and vertices. Let $mathcal {P}$ be a set of fat, convex polytopes in three dimensions with n vertices in total, and let f max be the maximum complexity of any face of a polytope in $mathcal {P}$ . We prove that the total length of the skeleton of the union of the polytopes in $mathcal {P}$ is at most O(α(n)⋅log∗ n⋅logf max) times the sum of the skeleton lengths of the individual polytopes." @default.
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- W2009773457 date "2012-03-08" @default.
- W2009773457 modified "2023-09-26" @default.
- W2009773457 title "Unions of Fat Convex Polytopes Have Short Skeletons" @default.
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- W2009773457 doi "https://doi.org/10.1007/s00454-012-9422-8" @default.
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