Succinct Indices for Range Queries with Applications to Orthogonal Range Maxima

  • Arash Farzan
  • J. Ian Munro
  • Rajeev Raman
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7391)

Abstract

We consider the problem of preprocessing N points in 2D, each endowed with a priority, to answer the following queries: given a axis-parallel rectangle, determine the point with the largest priority in the rectangle. Using the ideas of the effective entropy of range maxima queries and succinct indices for range maxima queries, we obtain a structure that uses O(N) words and answers the above query in O(logN loglogN) time. This a direct improvement of Chazelle’s result from 1985 [10] for this problem – Chazelle required O(N/ε) words to answer queries in O((logN)1 + ε ) time for any constant ε > 0.

Keywords

Range Query Query Point Query Time Space Usage Vertical Slab 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Arash Farzan
    • 1
  • J. Ian Munro
    • 2
  • Rajeev Raman
    • 3
  1. 1.Max-Planck-Institut für InformatikSaarbückenGermany
  2. 2.University of WaterlooCanada
  3. 3.University of LeicesterUK

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