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Bounds on Complexity when Sorting Reals
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SYSNO ASEP 0531334 Document Type J - Journal Article R&D Document Type Journal Article Subsidiary J Článek ve SCOPUS Title Bounds on Complexity when Sorting Reals Author(s) Jiřina, Marcel (UIVT-O) SAI, RID Source Title International Journal of Circuits, Systems and Signal Processing. - : North Atlantic University Union - ISSN 1998-4464
Roč. 14, July (2020), s. 276-281Number of pages 6 s. Publication form Online - E Language eng - English Country US - United States Keywords Linear time ; Sorting reals ; Time complexity Subject RIV BB - Applied Statistics, Operational Research OECD category Statistics and probability R&D Projects LM2015068 GA MŠMT - Ministry of Education, Youth and Sports (MEYS) Method of publishing Open access Institutional support UIVT-O - RVO:67985807 EID SCOPUS 85087528484 DOI 10.46300/9106.2020.14.39 Annotation We 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. Workplace Institute of Computer Science Contact Tereza Šírová, sirova@cs.cas.cz, Tel.: 266 053 800 Year of Publishing 2021 Electronic address http://hdl.handle.net/11104/0310011
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