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Quasiperiodicity and string covering

Identifieur interne : 006D71 ( PascalFrancis/Curation ); précédent : 006D70; suivant : 006D72

Quasiperiodicity and string covering

Auteurs : C. S. Iliopoulos [Royaume-Uni, Australie] ; L. Mouchard [Royaume-Uni, France]

Source :

RBID : Pascal:99-0409678

Descripteurs français

English descriptors

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.
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A11 01  1    @1 ILIOPOULOS (C. S.)
A11 02  1    @1 MOUCHARD (L.)
A12 01  1    @1 NERAUD (J.) @9 ed.
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A14 02      @1 School of Computing, Curtin University of Technology, GPO Box U1987 @2 Perth 6845, Western Australia @3 AUS @Z 1 aut.
A14 03      @1 LIR - ABISS, Université de Rouen @2 76821 Mont Saint Aignan @3 FRA @Z 2 aut.
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C01 01    ENG  @0 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.
C02 01  X    @0 001D02B07B
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C03 01  3  FRE  @0 Appariement chaîne @5 01
C03 01  3  ENG  @0 String matching @5 01
C03 02  X  FRE  @0 Régularité @5 02
C03 02  X  ENG  @0 Regularity @5 02
C03 02  X  SPA  @0 Regularidad @5 02
C03 03  X  FRE  @0 Variation quasi périodique @5 03
C03 03  X  ENG  @0 Quasi periodic variation @5 03
C03 03  X  SPA  @0 Variación semiperiódica @5 03
C03 04  X  FRE  @0 Théorie langage @5 04
C03 04  X  ENG  @0 Language theory @5 04
C03 04  X  SPA  @0 Teoría lenguaje @5 04
C03 05  X  FRE  @0 Langage formel @5 05
C03 05  X  ENG  @0 Formal language @5 05
C03 05  X  SPA  @0 Lenguaje formal @5 05
N21       @1 263
pR  
A30 01  1  ENG  @1 "Words". International Conference @3 Rouen FRA @4 1997-09-22

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Pascal:99-0409678

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