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#### Four results on randomized incremental constructions

##### MPS-Authors

Clarkson,  K. L.
Algorithms and Complexity, MPI for Informatics, Max Planck Society;

http://pubman.mpdl.mpg.de/cone/persons/resource/persons45021

Mehlhorn,  Kurt
Algorithms and Complexity, MPI for Informatics, Max Planck Society;

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##### Fulltext (public)

92-112_ch.pdf
(Any fulltext), 16MB

##### Supplementary Material (public)
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##### Citation

Clarkson, K. L., & Mehlhorn, K.(1992). Four results on randomized incremental constructions (MPI-I-92-112). Saarbrücken: Max-Planck-Institut für Informatik.

Cite as: http://hdl.handle.net/11858/00-001M-0000-0014-B6ED-F
##### Abstract
We prove four results on randomized incremental constructions (RICs): \begin{itemize} \item an analysis of the expected behavior under insertion and deletions, \item a fully dynamic data structure for convex hull maintenance in arbitrary dimensions, \item a tail estimate for the space complexity of RICs, \item a lower bound on the complexity of a game related to RICs. \end{itemize}