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The LCA Problem Revisited

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LATIN 2000: Theoretical Informatics (LATIN 2000)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1776))

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Abstract

We present a very simple algorithm for the Least Common Ancestors problem. We thus dispel the frequently held notion that optimal LCA computation is unwieldy and unimplementable. Interestingly, this algorithm is a sequentialization of a previously known PRAM algorithm.

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References

  1. Berkman, O., Breslauer, D., Galil, Z., Schieber, B., Vishkin, U.: Highly parallelizable problems. In: Proc. of the 21st Ann. ACM Symp. on Theory of Computing, pp. 309–319 (1989)

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  2. Harel, D., Tarjan, R.E.: Fast algorithms for finding nearest common ancestors. SIAM J. Comput. 13(2), 338–355 (1984)

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  3. Schieber, B., Vishkin, U.: On finding lowest common ancestors: Simplification and parallelization. SIAM J. Comput. 17, 1253–1262 (1988)

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Author information

Authors and Affiliations

  1. Department of Computer Science, State University of New York at Stony Brook, Stony Brook, NY, 11794-4400, USA

    Michael A. Bender

  2. Department of Computer Science, Rutgers University, Piscataway, NJ, 08855, USA

    Martín Farach-Colton

Authors
  1. Michael A. Bender
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  2. Martín Farach-Colton
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Editor information

Editors and Affiliations

  1. ETH Zurich, Institute of Computational Science, CH-8092 Zurich and, Swiss Institute of Bioinformatics, Switzerland

    Gaston H. Gonnet

  2. Pedeciba Informática, Casilla de Correo 16120, Distrito 6, Montevideo, Uruguay

    Alfredo Viola

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© 2000 Springer-Verlag Berlin Heidelberg

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Bender, M.A., Farach-Colton, M. (2000). The LCA Problem Revisited. In: Gonnet, G.H., Viola, A. (eds) LATIN 2000: Theoretical Informatics. LATIN 2000. Lecture Notes in Computer Science, vol 1776. Springer, Berlin, Heidelberg. https://doi.org/10.1007/10719839_9

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  • DOI: https://doi.org/10.1007/10719839_9

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-67306-4

  • Online ISBN: 978-3-540-46415-0

  • eBook Packages: Springer Book Archive

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