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Normalization of ternary generalized pseudostandard words.

Authors :
Florian, Josef
Veselá, Tereza
Dvořáková, Ľubomíra
Source :
Theoretical Computer Science. Aug2019, Vol. 780, p29-53. 25p.
Publication Year :
2019

Abstract

This paper focuses on generalized pseudostandard words, defined by de Luca and De Luca in 2006. In every step of the construction, the involutory antimorphism to be applied for the pseudopalindromic closure changes and is given by a so called directive bi-sequence. The concept of a normalized form of directive bi-sequences was introduced by Blondin-Massé et al. in 2013 and an algorithm for finding the normalized directive bi-sequence over a binary alphabet was provided. In this paper, we present an algorithm to find the normalized form of any directive bi-sequence over a ternary alphabet. Moreover, the algorithm was implemented in Python language and carefully tested, and is now publicly available in a module for working with ternary generalized pseudostandard words. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
03043975
Volume :
780
Database :
Academic Search Index
Journal :
Theoretical Computer Science
Publication Type :
Academic Journal
Accession number :
136690764
Full Text :
https://doi.org/10.1016/j.tcs.2019.02.010