On Words with the Zero Palindromic Defect
arXiv:1708.06911 · doi:10.1007/978-3-319-66396-8_7
Abstract
We study the set of finite words with zero palindromic defect, i.e., words rich in palindromes. This set is factorial, but not recurrent. We focus on description of pairs of rich words which cannot occur simultaneously as factors of a longer rich word.
References in corpus (17)
- Palindromic Richness
- A connection between palindromic and factor complexity using return words
- A new characteristic property of rich words
- Rich, Sturmian, and trapezoidal words
- On the Combinatorics of Palindromes and Antipalindromes
- Languages invariant under more symmetries: overlapping factors versus palindromic richness
- Extensions of rich words
- Infinite Words with Finite Defect
- Palindromic richness for languages invariant under more symmetries
- Palindromic sequences generated from marked morphisms
- Proof of Brlek-Reutenauer conjecture
- A counterexample to a question of Hof, Knill and Simon
- Palindromic closures using multiple antimorphisms
- Constructions of words rich in palindromes and pseudopalindromes
- Morphic images of episturmian words having finite palindromic defect
- Generalized Thue-Morse words and palindromic richness
- On the Zero Defect Conjecture