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Experimental Variations of a Theoretically Good Retrieval Data Structure

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Algorithms - ESA 2009 (ESA 2009)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5757))

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Abstract

A retrieval data structure implements a mapping from a set S of n keys to range R = {0,1}r, e.g. given by a list of key-value pairs (x,v) ∈ S×R, but an element outside S may be mapped to any value. Asymptotically, minimal perfect hashing allows to build such a data structure that needs nlog2 e + nr + o(n) bits of memory and has constant evaluation time. Recently, data structures based on other approaches have been proposed that have linear construction time, constant evaluation time and space consumption O(nr) bits or even (1 + ε)nr bits for arbitrary ε> 0. This paper explores the practicability of one such theoretically very good proposal, bridging a gap between theory and real data structures.

Research supported by DFG, Grant Di 412/10-1.

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References

  1. Botelho, F.C., Pagh, R., Ziviani, N.: Simple and space-efficient minimal perfect hash functions. In: Dehne, F., Sack, J.-R., Zeh, N. (eds.) WADS 2007. LNCS, vol. 4619, pp. 139–150. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  2. Calkin, N.J.: Dependent sets of constant weight binary vectors. Combinatorics, Probability & Computing 6(3), 263–271 (1997)

    Article  MathSciNet  MATH  Google Scholar 

  3. Dietzfelbinger, M., Pagh, R.: Succinct data structures for retrieval and approximate membership (extended abstract). In: Aceto, L., Damgård, I., Goldberg, L.A., Halldórsson, M.M., Ingólfsdóttir, A., Walukiewicz, I. (eds.) ICALP 2008, Part I. LNCS, vol. 5125, pp. 385–396. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  4. Hagerup, T., Tholey, T.: Efficient minimal perfect hashing in nearly minimal space. In: Ferreira, A., Reichel, H. (eds.) STACS 2001. LNCS, vol. 2010, pp. 317–326. Springer, Heidelberg (2001)

    Chapter  Google Scholar 

  5. Porat, E.: An optimal Bloom filter replacement based on matrix solving. CoRR, abs/0804.1845 (2008)

    Google Scholar 

  6. Teitelbaum, J.: Euclid’s algorithm and the Lanczos method over finite fields. Math. Comput. 67(224), 1665–1678 (1998)

    Article  MathSciNet  MATH  Google Scholar 

  7. Wiedemann, D.H.: Solving sparse linear equations over finite fields. IEEE Trans. Inf. Theor. 32(1), 54–62 (1986)

    Article  MathSciNet  MATH  Google Scholar 

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Aumüller, M., Dietzfelbinger, M., Rink, M. (2009). Experimental Variations of a Theoretically Good Retrieval Data Structure. In: Fiat, A., Sanders, P. (eds) Algorithms - ESA 2009. ESA 2009. Lecture Notes in Computer Science, vol 5757. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04128-0_66

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  • DOI: https://doi.org/10.1007/978-3-642-04128-0_66

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-04127-3

  • Online ISBN: 978-3-642-04128-0

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