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Efficient Object-Relational Interval Management and Beyond

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Advances in Spatial and Temporal Databases (SSTD 2003)

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Abstract

Recently, the object-relational access method paradigm—the idea of designing index structures that can be built on top of the SQL layer of any relational database server—was proposed as a way to design easy to implement indexes while obtaining strong robustness, performance, and integration into transaction management for free. In this paper, we describe an object-relational index for the 3-sided range indexing problem. Previously an object-relational index was only known for the interval management problem, which is a special case of the 3-sided range indexing problem. Our new index is efficient in the worst-case, and it can be used to answer all general interval relationship queries efficiently. The previously known index were only able to answer 7 out of 13 possible relationship queries efficiently. We also describe a (limited) experimental study of a simplified version of our structure.

This work was supported in part by the National Science Foundation through ESS grant EIA-9870734, RI grant EIA-9972879, CAREER grant CCR-9984099, and ITR grant EIA-0112849.

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References

  1. Aggarwal, A., Vitter, J.S.: The Input/Output complexity of sorting and related problems. Communications of the ACM 31(9), 1116–1127 (1988)

    Article  MathSciNet  Google Scholar 

  2. Allen, J.: Maintaining knowledge about temporal intervals. Communications of the ACM 26(11), 832–843 (1983)

    Article  MATH  Google Scholar 

  3. Arge, L.: External memory data structures. In: Abello, J., Pardalos, P.M., Resende, M.G.C. (eds.) Handbook of Massive Data Sets, pp. 313–358. Kluwer Academic Publishers, Dordrecht (2002)

    Google Scholar 

  4. Arge, L., Samoladas, V., Vitter, J.S.: On two-dimensional indexability and optimal range search indexing. In: Proc. ACM Symposium on Principles of Database Systems, pp. 346–357 (1999)

    Google Scholar 

  5. Arge, L., Vitter, J.S.: Optimal dynamic interval management in external memory. In: Proc. IEEE Symposium on Foundations of Computer Science, pp. 560–569 (1996)

    Google Scholar 

  6. Bayer, R., McCreight, E.: Organization and maintenance of large ordered indexes. Acta Informatica 1, 173–189 (1972)

    Article  Google Scholar 

  7. Comer, D.: The ubiquitous B-tree. ACM Computing Surveys 11(2), 121–137 (1979)

    Article  MATH  Google Scholar 

  8. Edelsbrunner, H.: A new approach to rectangle intersections, part I. Int. J. Computer Mathematics 13, 209–219 (1983)

    Article  MATH  MathSciNet  Google Scholar 

  9. Gaede, V., Günther, O.: Multidimensional access methods. ACM Computing Surveys 30(2), 170–231 (1998)

    Article  Google Scholar 

  10. Kanellakis, P.C., Ramaswamy, S., Vengroff, D.E., Vitter, J.S.: Indexing for data models with constraints and classes. Journal of Computer and System Sciences 52(3), 589–612 (1996)

    Article  MATH  MathSciNet  Google Scholar 

  11. Kanth, K.V.R., Singh, A.K.: Optimal dynamic range searching in non replicating index structures. In: Beeri, C., Bruneman, P. (eds.) ICDT 1999. LNCS, vol. 1540, pp. 257–276. Springer, Heidelberg (1998)

    Chapter  Google Scholar 

  12. Knuth, D.E.: Sorting and Searching. In: The Art of Computer Programming, 2nd edn., vol. 3. Addison-Wesley, Reading (1998)

    Google Scholar 

  13. Kriegel, H.-P., Pötke, M., Seidl, T.: Managing intervals efficiently in object relational databases. In: Proc. International Conference on Very Large Databases, pp. 407–418 (2000)

    Google Scholar 

  14. Kriegel, H.-P., Pötke, M., Seidl, T.: Interval sequences: An object-relational approach to manage spatial data. In: Proc. International Symposium on Spatial and Temporal Databases, pp. 481–501 (2001)

    Google Scholar 

  15. Kriegel, H.-P., Pötke, M., Seidl, T.: Object-relational indexing for general interval relationships. In: Proc. International Symposium on Spatial and Temporal Databases, pp. 522–542 (2001)

    Google Scholar 

  16. McCreight, E.: Priority search trees. SIAM Journal on Computing 14(2), 257–276 (1985)

    Article  MATH  MathSciNet  Google Scholar 

  17. Nievergelt, J., Reingold, E.M.: Binary search tree of bounded balance. SIAM Journal on Computing 2(1), 33–43 (1973)

    Article  MATH  MathSciNet  Google Scholar 

  18. Overmars, M.H.: The Design of Dynamic Data Structures. LNCS, vol. 156. Springer, Heidelberg (1983)

    MATH  Google Scholar 

  19. TIGER/LineTM Files, 1997 Technical Documentation. Washington, DC (September 1998), http://www.census.gov/geo/tiger/TIGER97D.pdf

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Arge, L., Chatham, A. (2003). Efficient Object-Relational Interval Management and Beyond. In: Hadzilacos, T., Manolopoulos, Y., Roddick, J., Theodoridis, Y. (eds) Advances in Spatial and Temporal Databases. SSTD 2003. Lecture Notes in Computer Science, vol 2750. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45072-6_5

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  • DOI: https://doi.org/10.1007/978-3-540-45072-6_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40535-1

  • Online ISBN: 978-3-540-45072-6

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