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Path Caching: A Technique for Optimal External Searching.

Sridhar Ramaswamy, Sairam Subramanian: Path Caching: A Technique for Optimal External Searching. PODS 1994: 25-35
@inproceedings{DBLP:conf/pods/RamaswamyS94,
  author    = {Sridhar Ramaswamy and
               Sairam Subramanian},
  title     = {Path Caching: A Technique for Optimal External Searching},
  booktitle = {Proceedings of the Thirteenth ACM SIGACT-SIGMOD-SIGART Symposium
               on Principles of Database Systems, May 24-26, 1994, Minneapolis,
               Minnesota},
  publisher = {ACM Press},
  year      = {1994},
  isbn      = {0-89791-642-5},
  pages     = {25-35},
  ee        = {http://doi.acm.org/10.1145/182591.182595, db/conf/pods/pods94-25.html},
  crossref  = {DBLP:conf/pods/94},
  bibsource = {DBLP, http://dblp.uni-trier.de}
}
BibTeX

Abstract

External 2-dimensional searching is a fundamental problem with many applications in relational, object-oriented, spatial, and temporal databases. For example, interval intersection can be reduced to 2-sided, 2-dimensional searching and indexing class hierarchies of objects to 3-sided, 2-dimensional searching. Path caching is a new technique that can be used to transform a number of time/space efficient data structures for internal 2-dimensional searching (such as segment trees, interval trees, and priority search trees) into I/O efficient external ones. Let n be the size of the database, B the page size, and t the output size of a query. Using path caching, we provide the first data structure with optimal I/O query time O(logB n + t/B) for 2-sided, 2-dimensional searching. Furthermore, we show that path caching requires a small space overhead O((n/B)log2 log2 B) and is simple enough to admit dynamic updates in optimal O(logB n) amortized time. We also extend this data structure to handle 3-sided, 2-dimensional searching with optimal I/O query-time, at the expense of slightly higher storage and update overheads.

Copyright © 1994 by the ACM, Inc., used by permission. Permission to make digital or hard copies is granted provided that copies are not made or distributed for profit or direct commercial advantage, and that copies show this notice on the first page or initial screen of a display along with the full citation.


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Proceedings of the Thirteenth ACM SIGACT-SIGMOD-SIGART Symposium on Principles of Database Systems, May 24-26, 1994, Minneapolis, Minnesota. ACM Press 1994, ISBN 0-89791-642-5
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Referenced by

  1. Pankaj K. Agarwal, Lars Arge, Jeff Erickson: Indexing Moving Points. PODS 2000: 175-186
  2. Lars Arge, Vasilis Samoladas, Jeffrey Scott Vitter: On Two-Dimensional Indexability and Optimal Range Search Indexing. PODS 1999: 346-357
  3. Himanshu Gupta, Divesh Srivastava: The Data Warehouse of Newsgroups. ICDT 1999: 471-488
  4. Jeffrey Scott Vitter: External Memory Algorithms. PODS 1998: 119-128
  5. Vasilis Samoladas, Daniel P. Miranker: A Lower Bound Theorem for Indexing Schemes and Its Application to Multidimensional Range Queries. PODS 1998: 44-51
  6. Elias Koutsoupias, David Scot Taylor: Tight Bounds for 2-Dimensional Indexing Schemes. PODS 1998: 52-58
  7. Pankaj K. Agarwal, Lars Arge, Jeff Erickson, Paolo Giulio Franciosa, Jeffrey Scott Vitter: Efficient Searching with Linear Constraints. PODS 1998: 169-178
  8. Elisa Bertino, Barbara Catania, Boris Shidlovsky: Towards Optimal Indexing for Segment Databases. EDBT 1998: 39-53
  9. Joseph M. Hellerstein, Elias Koutsoupias, Christos H. Papadimitriou: On the Analysis of Indexing Schemes. PODS 1997: 249-256
  10. Sridhar Ramaswamy: Efficient Indexing for Constraint and Temporal Databases. ICDT 1997: 419-431
  11. Ajit A. Diwan, Sanjeeva Rane, S. Seshadri, S. Sudarshan: Clustering Techniques for Minimizing External Path Length. VLDB 1996: 342-353
  12. Paris C. Kanellakis: Constraint Programming and Database Languages: A Tutorial. PODS 1995: 46-53
BibTeX
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