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Dynamic Orthogonal Planar 3-Sided Range Reporting with Amortized Bounds at Aarhus University

This research presents an innovative approach to dynamic orthogonal planar 3-sided range reporting, focusing on efficient data structures and algorithms. Utilizing a priority search tree, we derive high-probability bounds and amortized bounds which enhance performance in planar queries. The findings are anticipated to advance the field of computational geometry and improve results in massive data analysis. Conducted at Aarhus University under the auspices of the Center for Massive Data Algorithmics, this work aims to push the boundaries of real-time data processing.

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Dynamic Orthogonal Planar 3-Sided Range Reporting with Amortized Bounds at Aarhus University

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  1. Konstantinos Tsakalidis Aarhus University y1 DynamicOrthogonal Planar 3-sided Range Reporting Smooth x2 x1 Zipfian y x All time boundsareexpected. Redarehighprobabilitybounds and boldboundsareexpectedamortizedbounds. A priority search tree [M85] MADALGO – Center for Massive Data Algorithmics, a Center of the Danish National Research Foundation

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