The Center for Education and Research in Information Assurance and Security (CERIAS)

The Center for Education and Research in
Information Assurance and Security (CERIAS)

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

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Author

Mikhail J. Atallah, Marino Blanton, Michael T. Goodrich, and Stanislas Polu

Tech report number

CERIAS TR 2007-54

Entry type

inproceedings

Abstract

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.

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Date

2007 – 08

Key alpha

Atallah

Series

Workshop on Algorithms and Data Structures (WADS'07)

Affiliation

Purdue University, University of California Irvine, Ecole Polytechnique

Publication Date

2007-08-01

Contents

1. Introduction 2. Discrepancy-Sensitive Dynamic Fractional Cascading 3. Dynamic Dominated Maxima 4. Dynamic Nearest Neighbors in Minkowski Metrics 5. Experimental Results

Language

English

Subject

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

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