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On the fixed points of the iterated pseudopalindromic closure operator

Identifieur interne : 000150 ( PascalFrancis/Corpus ); précédent : 000149; suivant : 000151

On the fixed points of the iterated pseudopalindromic closure operator

Auteurs : D. Jamet ; G. Paquin ; G. Richomme ; L. Vuillon

Source :

RBID : Pascal:11-0284467

Descripteurs français

English descriptors

Abstract

First introduced in the study of the Sturmian words by de Luca in 1997, iterated palindromic closure was generalized to pseudopalindromes by de Luca and De Luca in 2006. This operator allows one to construct words with infinitely many pseudopalindromic prefixes, called pseudostandard words. We provide here several combinatorial properties of the fixed points under iterated pseudopalindromic closure.

Notice en format standard (ISO 2709)

Pour connaître la documentation sur le format Inist Standard.

pA  
A01 01  1    @0 0304-3975
A02 01      @0 TCSCDI
A03   1    @0 Theor. comput. sci.
A05       @2 412
A06       @2 27
A08 01  1  ENG  @1 On the fixed points of the iterated pseudopalindromic closure operator
A09 01  1  ENG  @1 Combinatorics on Words (WORDS 2009)
A11 01  1    @1 JAMET (D.)
A11 02  1    @1 PAQUIN (G.)
A11 03  1    @1 RICHOMME (G.)
A11 04  1    @1 VUILLON (L.)
A12 01  1    @1 CARPI (Arturo) @9 ed.
A12 02  1    @1 DE FELICE (Clelia) @9 ed.
A14 01      @1 LORIA - Université Nancy 1 - CNRS, Campus Scientifique, BP 239 @2 54506 Vandœuvre-lès-Nancy @3 FRA @Z 1 aut.
A14 02      @1 Laboratoire de mathématiques, CNRS UMR 5127, Université de Savoie @2 73376 Le Bourget-du-lac @3 FRA @Z 2 aut. @Z 4 aut.
A14 03      @1 UPJV, Laboratoire MIS, 33, Rue Saint Leu @2 80039 Amiens @3 FRA @Z 3 aut.
A15 01      @1 Dipartimento di Matematica e Informatica, Università di Perugia, via Vanvitelli 1 @2 06123, Perugia @3 ITA @Z 1 aut.
A15 02      @1 Dipartimento di Informatica, Università di Salerno, Via Ponte Don Melillo @2 84084 Fisciano (SA) @3 ITA @Z 2 aut.
A20       @1 2974-2987
A21       @1 2011
A23 01      @0 ENG
A43 01      @1 INIST @2 17243 @5 354000191613490070
A44       @0 0000 @1 © 2011 INIST-CNRS. All rights reserved.
A45       @0 27 ref.
A47 01  1    @0 11-0284467
A60       @1 P
A61       @0 A
A64 01  1    @0 Theoretical computer science
A66 01      @0 GBR
C01 01    ENG  @0 First introduced in the study of the Sturmian words by de Luca in 1997, iterated palindromic closure was generalized to pseudopalindromes by de Luca and De Luca in 2006. This operator allows one to construct words with infinitely many pseudopalindromic prefixes, called pseudostandard words. We provide here several combinatorial properties of the fixed points under iterated pseudopalindromic closure.
C02 01  X    @0 001D02A08
C02 02  X    @0 001A02G04
C02 03  X    @0 001A02B02
C03 01  X  FRE  @0 Informatique théorique @5 01
C03 01  X  ENG  @0 Computer theory @5 01
C03 01  X  SPA  @0 Informática teórica @5 01
C03 02  X  FRE  @0 Point fixe @5 17
C03 02  X  ENG  @0 Fix point @5 17
C03 02  X  SPA  @0 Punto fijo @5 17
C03 03  X  FRE  @0 Virgule fixe @5 18
C03 03  X  ENG  @0 Fixed point @5 18
C03 03  X  SPA  @0 Coma fija @5 18
C03 04  3  FRE  @0 Opérateur fermeture @5 19
C03 04  3  ENG  @0 Closure operator @5 19
C03 05  X  FRE  @0 Fermeture @5 20
C03 05  X  ENG  @0 Closure @5 20
C03 05  X  SPA  @0 Cerradura @5 20
C03 06  X  FRE  @0 37C25 @4 INC @5 70
C03 07  X  FRE  @0 06A15 @4 INC @5 71
C03 08  X  FRE  @0 Mot sturmien @4 INC @5 72
C03 09  X  FRE  @0 Préfixe @4 INC @5 73
C03 10  X  FRE  @0 Propriété combinatoire @4 INC @5 74
N21       @1 192
N44 01      @1 OTO
N82       @1 OTO

Format Inist (serveur)

NO : PASCAL 11-0284467 INIST
ET : On the fixed points of the iterated pseudopalindromic closure operator
AU : JAMET (D.); PAQUIN (G.); RICHOMME (G.); VUILLON (L.); CARPI (Arturo); DE FELICE (Clelia)
AF : LORIA - Université Nancy 1 - CNRS, Campus Scientifique, BP 239/54506 Vandœuvre-lès-Nancy/France (1 aut.); Laboratoire de mathématiques, CNRS UMR 5127, Université de Savoie/73376 Le Bourget-du-lac/France (2 aut., 4 aut.); UPJV, Laboratoire MIS, 33, Rue Saint Leu/80039 Amiens/France (3 aut.); Dipartimento di Matematica e Informatica, Università di Perugia, via Vanvitelli 1/06123, Perugia/Italie (1 aut.); Dipartimento di Informatica, Università di Salerno, Via Ponte Don Melillo/84084 Fisciano (SA)/Italie (2 aut.)
DT : Publication en série; Niveau analytique
SO : Theoretical computer science; ISSN 0304-3975; Coden TCSCDI; Royaume-Uni; Da. 2011; Vol. 412; No. 27; Pp. 2974-2987; Bibl. 27 ref.
LA : Anglais
EA : First introduced in the study of the Sturmian words by de Luca in 1997, iterated palindromic closure was generalized to pseudopalindromes by de Luca and De Luca in 2006. This operator allows one to construct words with infinitely many pseudopalindromic prefixes, called pseudostandard words. We provide here several combinatorial properties of the fixed points under iterated pseudopalindromic closure.
CC : 001D02A08; 001A02G04; 001A02B02
FD : Informatique théorique; Point fixe; Virgule fixe; Opérateur fermeture; Fermeture; 37C25; 06A15; Mot sturmien; Préfixe; Propriété combinatoire
ED : Computer theory; Fix point; Fixed point; Closure operator; Closure
SD : Informática teórica; Punto fijo; Coma fija; Cerradura
LO : INIST-17243.354000191613490070
ID : 11-0284467

Links to Exploration step

Pascal:11-0284467

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