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» On the Index of Sturmian Words
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CORR
2006
Springer
131views Education» more  CORR 2006»
13 years 6 months ago
Sequences with constant number of return words
An infinite word has the property Rm if every factor has exactly m return words. Vuillon showed that R2 characterizes Sturmian words. We prove that a word satisfies Rm if its compl...
Lubomíra Balková, Edita Pelantov&aac...
DAM
2011
13 years 1 months ago
On minimal Sturmian partial words
Partial words, which are sequences that may have some undefined positions called holes, can be viewed as sequences over an extended alphabet A = A ∪ { }, where stands for a hol...
Francine Blanchet-Sadri, John Lensmire
TCS
2008
13 years 6 months ago
Quasiperiodic and Lyndon episturmian words
Recently the second two authors characterized quasiperiodic Sturmian words, proving that a Sturmian word is non-quasiperiodic if and only if it is an infinite Lyndon word. Here we...
Amy Glen, Florence Levé, Gwénaë...
STRINGOLOGY
2008
13 years 8 months ago
Usefulness of Directed Acyclic Subword Graphs in Problems Related to Standard Sturmian Words
The class of finite Sturmian words consists of words having particularly simple compressed representation, which is a generalization of the Fibonacci recurrence for Fibonacci word...
Pawel Baturo, Marcin Piatkowski, Wojciech Rytter
TCS
2008
13 years 6 months ago
A characterization of fine words over a finite alphabet
To any infinite word t over a finite alphabet A we can associate two infinite words min(t) and max(t) such that any prefix of min(t) (resp. max(t)) is the lexicographically smalle...
Amy Glen