# Discrepancy-Sensitive Dynamic Fractional Cascading, Dominated Maxima Searching, and 2-d Nearest Neighbors in Any Minkowski Metric

@article{Atallah2007DiscrepancySensitiveDF, title={Discrepancy-Sensitive Dynamic Fractional Cascading, Dominated Maxima Searching, and 2-d Nearest Neighbors in Any Minkowski Metric}, author={Mikhail J. Atallah and Marina Blanton and Michael T. Goodrich and Stanislas Polu}, journal={ArXiv}, year={2007}, volume={abs/0904.4670} }

This paper studies a discrepancy-sensitive approach to dynamic fractional cascading. We provide an efficient data structure for dominated maxima searching in a dynamic set of points in the plane, which in turn leads to an efficient dynamic data structure that can answer queries for nearest neighbors using any Minkowski metric.

## 2 Citations

Dynamic Data Structures : Orthogonal Range Queries and Update Efficiency

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This work presents a fully-dynamic and very efficient solution to the key assignment problem that is also provably secure for a strong notion of security, and shows how the model can be extended to time-based policies where users obtain access rights only for a specific duration of time.

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