Conrado Martínez ; Uwe Rösler - Partial Quicksort and Quickpartitionsort

dmtcs:2781 - Discrete Mathematics & Theoretical Computer Science, January 1, 2010, DMTCS Proceedings vol. AM, 21st International Meeting on Probabilistic, Combinatorial, and Asymptotic Methods in the Analysis of Algorithms (AofA'10) - https://doi.org/10.46298/dmtcs.2781
Partial Quicksort and QuickpartitionsortArticle

Authors: Conrado Martínez 1; Uwe Rösler 2

  • 1 Departament Llenguatges i Sistemes Informatics,
  • 2 Mathematisches Seminar [Kiel]

Partial Quicksort sorts the $l$ smallest elements in a list of length $n$. We provide a complete running time analysis for this combination of Find and Quicksort. Further we give some optimal adapted versions, called Partition Quicksort, with an asymptotic running time $c_1l\ln l+c_2l+n+o(n)$. The constant $c_1$ can be as small as the information theoretic lower bound $\log_2 e$.

https://doi.org/10.46298/dmtcs.2781
Source: HAL:hal-01185579v1
Volume: DMTCS Proceedings vol. AM, 21st International Meeting on Probabilistic, Combinatorial, and Asymptotic Methods in the Analysis of Algorithms (AofA'10)
Section: Proceedings
Published on: January 1, 2010
Imported on: January 31, 2017
Keywords: contraction method,stochastic fixed point equation,optimal adapted algorithms,asymptotic distribution,running time analysis,searching,sorting,Find,Quicksort,divide and conquer algorithm,random algorithm,[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]

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