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Minimal Characterization of O-notation in Algorithm Analysis

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Original languageEnglish
Pages (from-to)31-41
JournalTheoretical Computer Science
Early online date27 Dec 2017
Publication statusPublished - Feb 2018
Publication typeA1 Journal article-refereed


Previously, we showed that linear dominance is the only definition of O-notation suitable for algorithm analysis [1,2]. Linear dominance was characterized by 8 primitive properties as a down-set of a non-trivial scale-invariant preorder which is preserved under certain modifications to algorithms and is consistent with pointwise partial order. In this paper, we provide a minimal characterization of O-notation, where there are no redundant properties. Such is given by excluding locality from primitive properties.


  • O-notation, characterization, minimal

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Field of science, Statistics Finland