Quasiperiodicity and string covering
Identifieur interne : 00C423 ( Main/Exploration ); précédent : 00C422; suivant : 00C424Quasiperiodicity and string covering
Auteurs : Costas S. Iliopoulos [Royaume-Uni, Australie] ; Laurent Mouchard [Royaume-Uni, France]Source :
- Theoretical Computer Science [ 0304-3975 ] ; 1999.
Descripteurs français
- Pascal (Inist)
English descriptors
- KwdEn :
- Abaaba, Algorithm, Appropriate factor, Computer science, Concatenation, Easy seed, Easy seeds, Ehrenfeucht algorithm, Elsevier science, Failure function, Formal language, Formal language theory, Hard seed, Hard seeds, Iliopoulos, Language theory, Lecture notes, Local period, Longest span, Main steps, Maximal quasiperiodic factors, Mouchardl, Optimal algorithm, Parallel string, Periodic words, Periodicity, Proper factor, Quasi periodic variation, Quasiperiodic, Quasiperiodic factor, Quasiperiodicity, Quasiperiodicity problem, Regularity, Right extension, String matching, Superposition, Wide area.
- Teeft :
- Abaaba, Algorithm, Appropriate factor, Computer science, Concatenation, Easy seed, Easy seeds, Ehrenfeucht algorithm, Elsevier science, Failure function, Formal language theory, Hard seed, Hard seeds, Iliopoulos, Lecture notes, Local period, Longest span, Main steps, Maximal quasiperiodic factors, Mouchardl, Optimal algorithm, Parallel string, Periodic words, Periodicity, Proper factor, Quasiperiodic, Quasiperiodic factor, Quasiperiodicity, Quasiperiodicity problem, Regularity, Right extension, Superposition, Wide area.
Abstract
Abstract: In this paper, we study word regularities and in particular extensions of the notion of the word period: quasiperiodicity, covers and seeds. We present overviews of algorithms for computing the quasiperiodicity, the covers and the seeds of a given word. We also present an overview of an algorithm that finds maximal word factors with the above regularities. Finally, we show how Fine and Wilf's Theorem fails if we try to extend it directly to quasiperiodicity, as well as a new property on concatenation of periodic words.
Url:
DOI: 10.1016/S0304-3975(98)00260-6
Affiliations:
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Le document en format XML
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<front><div type="abstract" xml:lang="en">Abstract: In this paper, we study word regularities and in particular extensions of the notion of the word period: quasiperiodicity, covers and seeds. We present overviews of algorithms for computing the quasiperiodicity, the covers and the seeds of a given word. We also present an overview of an algorithm that finds maximal word factors with the above regularities. Finally, we show how Fine and Wilf's Theorem fails if we try to extend it directly to quasiperiodicity, as well as a new property on concatenation of periodic words.</div>
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