Palindromic closures using multiple antimorphisms

Abstract

Generalized pseudostandard word u, as introduced in 2006 by de Luca and De Luca, is given by a directive sequence of letters from an alphabet A and by a directive sequence of involutory antimorphisms acting on A * . Prefixes of u with increasing length are constructed using pseudopalindromic closure operator. We show that

On Words with the Zero Palindromic Defect

“…-The articles [20,28,31] exhibit more examples of words with finite palindromic defect (along with some examples of words with finite generalized palindromic defect).…”

On Words with the Zero Palindromic Defect

“…-In [32], we show that morphic images of episturmian words, a known class of rich words, produces a word with finite palindromic defect. -The articles [20,28,31] exhibit more examples of words with finite palindromic defect (along with some examples of words with finite generalized palindromic defect).…”

On Periodicity of Generalized Pseudostandard Words

“…Remark 14. Let a directive bi-sequence of a generalized pseudostandard word satisfy condition (4). Then the corresponding normalized bi-sequence satisfies condition (4).…”

“…In the paper [7] the authors have defined the generalized pseudostandard words and have proven there that the famous Thue-Morse word is an example of such words. Jajcayová et al [4] have characterized generalized pseudostandard words in the class of generalized Thue-Morse words. Jamet et al [5] deal with fixed points of the palindromic and pseudopalindromic closure and formulate an open problem concerning fixed points of the generalized pseudopalindromic closure.…”