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[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 …
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 …
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 …
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 …
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 …
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
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 …
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 …
namely the critical factorization theorem. Given a word w and nonempty words u, v satisfying …
Border correlation of binary words
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 …
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 …
representation, which is a generalization of the Fibonacci recurrence for Fibonacci words …
Characteristic Sturmian words are extremal for the critical factorization theorem
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 …
Theorem (CFT) in the following sense. If px (n) denotes the local period of an infinite word x …