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Annual Symposium on Theoretical Aspects of Computer Science

STACS 1992: STACS 92 pp 461–474Cite as

Four results on randomized incremental constructions

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 577))

Abstract

We prove four results on randomized incremental constructions (RICs):

  • an analysis of the expected behavior under insertion and deletions,

  • a fully dynamic data structure for convex hull maintenance in arbitrary dimensions,

  • a tail estimate for the space complexity of RICs,

  • a lower bound on the complexity of a game related to RICs.

A full version of this extended abstract is available from the authors.

Supported in part by ESPRIT II Basic Research Actions Program of the EC under contract no. 3075(projcct ALCOM)

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Author information

Authors and Affiliations

  1. AT&T Bell Laboratories, USA

    Kenneth L. Clarkson

  2. Max Planck Institut für Informatik and Universität des Saarlandes, Germany

    Kurt Mehlhorn

  3. Computer Science Division, University of California at Berkeley, USA

    Raimund Seidel

Authors
  1. Kenneth L. Clarkson
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  2. Kurt Mehlhorn
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  3. Raimund Seidel
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Editor information

Alain Finkel Matthias Jantzen

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© 1992 Springer-Verlag Berlin Heidelberg

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Clarkson, K.L., Mehlhorn, K., Seidel, R. (1992). Four results on randomized incremental constructions. In: Finkel, A., Jantzen, M. (eds) STACS 92. STACS 1992. Lecture Notes in Computer Science, vol 577. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-55210-3_205

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  • DOI: https://doi.org/10.1007/3-540-55210-3_205

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-55210-9

  • Online ISBN: 978-3-540-46775-5

  • eBook Packages: Springer Book Archive

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