[PDF][PDF] Combinatorics on words: a tutorial

J Berstel, J Karhumäki - Bulletin of the EATCS, 2003 - Citeseer
During the last two decades research on combinatorial problems of words, ie, on
Combinatorics on Words, has grown enormously. Although there has been important …

[SÁCH][B] Algorithmic combinatorics on partial words

F Blanchet-Sadri - 2007 - taylorfrancis.com
The discrete mathematics and theoretical computer science communities have recently
witnessed explosive growth in the area of algorithmic combinatorics on words. The next …

The structure of subword graphs and suffix trees of Fibonacci words

W Rytter - Theoretical Computer Science, 2006 - Elsevier
We use automata-theoretic approach to analyze properties of Fibonacci words. The directed
acyclic subword graph (dawg) is a useful deterministic automaton accepting all suffixes of …

Partial words and the critical factorization theorem

F Blanchet-Sadri, S Duncan - Journal of Combinatorial Theory, Series A, 2005 - Elsevier
The study of combinatorics on words, or finite sequences of symbols from a finite alphabet,
finds applications in several areas of biology, computer science, mathematics, and physics …

On three classes of automata-like P systems

R Freund, C Martín-Vide, A Obtułowicz… - … in Language Theory: 7th …, 2003 - Springer
We investigate the three classes of accepting P systems considered so far, namely the P
automata of Csuhaj-Varjú, Vaszil [3], their variant introduced by Madhu, Krithivasan [10], and …

Periodicity and unbordered words: A proof of the extended Duval conjecture

T Harju, D Nowotka - Journal of the ACM (JACM), 2007 - dl.acm.org
The relationship between the length of a word and the maximum length of its unbordered
factors is investigated in this article. Consider a finite word w of length n. We call a word …

Partial words and the critical factorization theorem revisited

F Blanchet-Sadri, ND Wetzler - Theoretical computer science, 2007 - Elsevier
In this paper, we consider one of the most fundamental results on the periodicity of words,
namely the critical factorization theorem. Given a word w and nonempty words u, v satisfying …

Border correlation of binary words

T Harju, D Nowotka - Journal of Combinatorial Theory, Series A, 2004 - Elsevier
The border correlation function β: A*→ A*, for A={a, b}, specifies which conjugates (cyclic
shifts) of a given word w of length n are bordered, in other words, β (w)= c0c1... cn-1, where …

Usefulness of directed acyclic subword graphs in problems related to standard Sturmian words

P Baturo, M Piatkowski, W Rytter - International Journal of …, 2009 - World Scientific
The class of finite Sturmian words consists of words having particularly simple compressed
representation, which is a generalization of the Fibonacci recurrence for Fibonacci words …

Characteristic Sturmian words are extremal for the critical factorization theorem

F Mignosi, A Restivo - Theoretical Computer Science, 2012 - Elsevier
We prove that characteristic Sturmian words are extremal for the Critical Factorization
Theorem (CFT) in the following sense. If px (n) denotes the local period of an infinite word x …