Dynamic Products of Ranks

David Eppstein

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arXiv · 2007.08123

Dynamic Products of Ranks

David Eppstein

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Abstract

We describe a data structure that can maintain a dynamic set of points given by their Cartesian coordinates, and maintain the point whose product of ranks within the two coordinate orderings is minimum or maximum, in time $O(\sqrt{n\log n})$ per update.

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David Eppstein. 2020-07-16. Dynamic Products of Ranks. https://arxiv.org/abs/2007.08123

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