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Approximate Colored Range Queries

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3827))

Abstract

In this paper, we formulate a class of colored range query problems to model the multi-dimensional range queries in the presence of categorical information. By applying appropriate sketching techniques on our framework, we obtained efficient data structures that provide approximate solutions to these problems. In addition, the framework can be employed to attack other related problems by finding the appropriate summary structures.

The work described in this paper was fully supported by a grant from the Research Grants Council of the Hong Kong Special Administrative Region, China [Project No. CityU 1198/03E].

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References

  1. Agarwal, P.K., Govindarajan, S., Muthukrishnan, S.: Range searching in categorical data: colored range searching on grid. In: Möhring, R.H., Raman, R. (eds.) ESA 2002. LNCS, vol. 2461, pp. 17–28. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  2. Bayer, R.: Symmetric binary B-trees: data structures and maintenance algorithms. Acta Informatica 1, 290–306 (1972)

    Article  MATH  MathSciNet  Google Scholar 

  3. Bentley, J.L.: Multidimensional divide-and-conquer. Comm. ACM 23(4), 214–228 (1980)

    Article  MATH  MathSciNet  Google Scholar 

  4. Berg, M., Haverkort, H.J.: Significant-presence range queries in categorical data. In: Dehne, F., Sack, J.-R., Smid, M. (eds.) WADS 2003. LNCS, vol. 2748, pp. 462–473. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  5. Carter, J.L., Wegman, M.N.: Universal classes of hash functions. J. Computer and System Sciences 18, 143–154 (1979)

    Article  MATH  MathSciNet  Google Scholar 

  6. Chazelle, B.: A functional approach to data structures and its use in multidimensional searching. SIAM J. Computing 17(3), 427–462 (1988)

    Article  MATH  MathSciNet  Google Scholar 

  7. Cormode, G., Datar, M., Indyk, P., Muthukrishnan, S.: Comparing data streams using Hamming norms (how to zero in). In: Proc. of 28th Int’l. Conf. on Very Large Data Bases, pp. 335–345 (2002)

    Google Scholar 

  8. Cormode, G., Muthukrishnan, S.: An improved data stream summary: the count-min sketch and its applications. In: Farach-Colton, M. (ed.) LATIN 2004. LNCS, vol. 2976, pp. 29–38. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  9. Ferragina, P., Koudas, N., Srivastava, D., Muthukrishnan, S.: Two-dimensional substring indexing. In: Proc. 20th ACM Symp. on Principles of Database Systems, pp. 282–288 (2001)

    Google Scholar 

  10. Guibas, L.J., Sedgewick, R.: A dichromatic framework for balanced trees. In: FOCS 1978, pp. 8–21 (1978)

    Google Scholar 

  11. Gupta, P., Janardan, R., Smid, M.: Further results on generalized intersection searching problems: counting, reporting, and dynamization. J. Algorithms 19, 282–317 (1995)

    Article  MATH  MathSciNet  Google Scholar 

  12. Janardan, R., Lopez, M.: Generalized intersection searching problems. Int’l. J. Computational Geometry and Applications 3(1), 39–69 (1993)

    Article  MATH  MathSciNet  Google Scholar 

  13. Muthukrishnan, S.: Efficient algorithms for document retrieval problems. In: SODA 2002, pp. 657–666 (2002)

    Google Scholar 

  14. Nanopoulos, A., Bozanis, P.: Categorical range queries in large databases. In: Hadzilacos, T., Manolopoulos, Y., Roddick, J., Theodoridis, Y. (eds.) SSTD 2003. LNCS, vol. 2750, pp. 122–139. Springer, Heidelberg (2003)

    Chapter  Google Scholar 

  15. Willard, D.E.: New data structures for orthogonal queries. SIAM J. Computing 14(1), 232–253 (1985)

    Article  MATH  MathSciNet  Google Scholar 

  16. Willard, D.E., Lueker, G.S.: Adding range restriction capability to dynamic data structures. J. ACM 32(3), 597–617 (1985)

    Article  MATH  MathSciNet  Google Scholar 

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© 2005 Springer-Verlag Berlin Heidelberg

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Lai, Y.K., Poon, C.K., Shi, B. (2005). Approximate Colored Range Queries. In: Deng, X., Du, DZ. (eds) Algorithms and Computation. ISAAC 2005. Lecture Notes in Computer Science, vol 3827. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11602613_37

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  • DOI: https://doi.org/10.1007/11602613_37

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-30935-2

  • Online ISBN: 978-3-540-32426-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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