Minkowski Sum Selection and Finding

dc.creatorLuo, Cheng-Wei
dc.creatorLiu, Hsiao-Fei
dc.creatorChen, Peng-An
dc.creatorChao, Kun-Mao
dc.date2008-09-06
dc.date.accessioned2026-07-07T10:01:17Z
dc.date.available2026-07-07T10:01:17Z
dc.descriptionFor the \textsc{Minkowski Sum Selection} problem with linear objective functions, we obtain the following results: (1) optimal $O(n\log n)$ time algorithms for $λ=1$; (2) $O(n\log^2 n)$ time deterministic algorithms and expected $O(n\log n)$ time randomized algorithms for any fixed $λ>1$. For the \textsc{Minkowski Sum Finding} problem with linear objective functions or objective functions of the form $f(x,y)=\frac{by}{ax}$, we construct optimal $O(n\log n)$ time algorithms for any fixed $λ\geq 1$.
dc.description23 pages, 10 figures, accepted by ISAAC 2008
dc.identifierhttps://arxiv.org/abs/0809.1171
dc.identifierhttp://arxiv.org/abs/0809.1171
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168585
dc.subjectData Structures and Algorithms
dc.subjectComputational Geometry
dc.titleMinkowski Sum Selection and Finding
dc.typetext

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