String attractors of fixed points of k-bonacci-like morphisms

[en] Firstly studied by Kempa and Prezza in 2018 as the cement of text compression algorithms, string attractors have become a compelling object of theoretical research within the community of combinatorics on words. In this context, they have been studied for several families of finite and infinite words. In this paper, we obtain string attractors of prefixes of particular infinite words generalizing k-bonacci words (including the famous Fibonacci word) and obtained as fixed points of k-bonacci-like morphisms. In fact, our description involves the numeration systems classically derived from the considered morphisms.

Disciplines :

Mathematics

Author, co-author :

Gheeraert, France ; Université de Liège - ULiège > Mathematics

Stipulanti, Manon ; Université de Liège - ULiège > Département de mathématique > Mathématiques discrètes

Giuseppe Romana; UniPa - Università degli Studi di Palermo [IT] > Dipartimento di Matematica e Informatica

Language :

English

Title :

String attractors of fixed points of k-bonacci-like morphisms

Publication date :

31 May 2023

Event name :

WORDS 2023

Event place :

Umeå, Sweden

Event date :

12-16 juin 2023

Audience :

International

Main work title :

Combinatorics on Words. WORDS 2023

Editor :

Frid, Anna

Mercaş, Robert

Publisher :

Springer, Cham, Switzerland

ISBN/EAN :

978-3-031-33179-4

Collection name :

Lecture Notes in Computer Science

Collection ISSN :

0302-9743

Peer reviewed :

Peer reviewed

Funding number :

F.R.S.-FNRS - Fonds de la Recherche Scientifique; MIUR project PRIN 2017 ADASCOML – 2017K7XPAN

Available on ORBi :

since 27 February 2023

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Bibliography

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