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Bounds on Complexity when Sorting Reals

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    SYSNO ASEP0531334
    Document TypeJ - Journal Article
    R&D Document TypeJournal Article
    Subsidiary JČlánek ve SCOPUS
    TitleBounds on Complexity when Sorting Reals
    Author(s) Jiřina, Marcel (UIVT-O) SAI, RID
    Source TitleInternational Journal of Circuits, Systems and Signal Processing. - : North Atlantic University Union - ISSN 1998-4464
    Roč. 14, July (2020), s. 276-281
    Number of pages6 s.
    Publication formOnline - E
    Languageeng - English
    CountryUS - United States
    KeywordsLinear time ; Sorting reals ; Time complexity
    Subject RIVBB - Applied Statistics, Operational Research
    OECD categoryStatistics and probability
    R&D ProjectsLM2015068 GA MŠMT - Ministry of Education, Youth and Sports (MEYS)
    Method of publishingOpen access
    Institutional supportUIVT-O - RVO:67985807
    EID SCOPUS85087528484
    DOI10.46300/9106.2020.14.39
    AnnotationWe derive the upper bounds on the complexity of the counting sort algorithm applied to reals. We show that the algorithm has a time complexity O(n) for n data items distributed uniformly or exponentially. The proof is based on the fact that the use of comparison-type sorting for small portion of a given data set is bounded by a linear function of n. Some numerical demonstrations are discussed.
    WorkplaceInstitute of Computer Science
    ContactTereza Šírová, sirova@cs.cas.cz, Tel.: 266 053 800
    Year of Publishing2021
    Electronic addresshttp://hdl.handle.net/11104/0310011
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