Title
A chararcterization of sturmian words by return words
Abstract
: We present a new characterization of Sturmian words usingreturn words. Considering each occurrence of a word w in a recurrent word,we define the set of return words over w to be the set of all distinct wordsbeginning with an occurrence of w and ending exactly before the next occurrenceof w in the infinite word. It is shown that an infinite word is aSturmian word if and only if for each non-empty word w appearing in theinfinite word, the cardinality of the set of return words over w is...
Year
DOI
Venue
2001
10.1006/eujc.2000.0444
Eur. J. Comb.
Keywords
Field
DocType
sturmian word,return word
Combinatorics,Sturmian word,Arithmetic,Cardinality,Mathematics
Journal
Volume
Issue
ISSN
22
2
0195-6698
Citations 
PageRank 
References 
26
2.41
3
Authors
1
Name
Order
Citations
PageRank
Laurent Vuillon118626.63