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  1. Home > Articles & Issues >
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  3. The variance for par ...
Conference paper

The variance for partial match retrievals in $k$-dimensional bucket digital trees

Michael Fuchs ORCID (1)
(1) Department of Applied Mathematics [Hsinchu]
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Imported on
January 31, 2017
Published on
December 31, 2009
Last modified on
March 31, 2025
Volume
DMTCS Proceedings vol. AM, 21st International Meeting on Probabilistic, Combinatorial, and Asymptotic Methods in the Analysis of Algorithms (AofA'10)
Proceedings
DOI
10.46298/dmtcs.2796
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https://about.hal.science/hal-authorisation-v1
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The variance for partial match retrievals in $k$-dimensional bucket digital trees

Michael Fuchs ORCID (1)
(1) Department of Applied Mathematics [Hsinchu]
Abstract
The variance of partial match queries in $k$-dimensional tries was investigated in a couple of papers in the mid-nineties, the resulting analysis being long and complicated. In this paper, we are going to re-derive these results with a much easier approach. Moreover, our approach works for $k$-dimensional PATRICIA tries, $k$-dimensional digital search trees and bucket versions as well.
Keywords
  • [INFO.INFO-DS]Computer Science [cs]/Data Structures and Algorithms [cs.DS]
  • [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO]
  • [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM]
  • [INFO.INFO-CG]Computer Science [cs]/Computational Geometry [cs.CG]
  • $k$-dimensional digital trees
  • partial match retrieval
  • variance
  • JS-admissibility
  • Mellin transform
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