Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5777429 | European Journal of Combinatorics | 2017 | 15 Pages |
Abstract
Brlek et al., conjectured in 2008 that any fixed point of a primitive morphism with finite palindromic defect is either periodic or its palindromic defect is zero. Bucci and Vaslet disproved this conjecture in 2012 by a counterexample over ternary alphabet. We prove that the conjecture is valid on binary alphabet. We also describe a class of morphisms over multiliteral alphabet for which the conjecture still holds. The proof is based on properties of extension graphs.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Sébastien Labbé, Edita Pelantová, Å tÄpán Starosta,