منابع مشابه
Characteristic morphisms of generalized episturmian words
In a recent paper with L. Q. Zamboni, the authors introduced the class of θ-episturmian words. An infinite word over A is standard θepisturmian, where θ is an involutory antimorphism of A∗, if its set of factors is closed under θ and its left special factors are prefixes. When θ is the reversal operator, one obtains the usual standard episturmian words. In this paper, we introduce and study θ-c...
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In a recent paper with L. Q. Zamboni the authors introduced the class of θ-episturmian words, where θ is an involutory antimorphism of the free monoid A∗. In this paper, we introduce and study θcharacteristic morphisms, that is, morphisms which map standard episturmian words into standard θ-episturmian words. They are a natural extension of standard episturmian morphisms. The main result of the...
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Let w be an infinite word on an alphabet A. We denote by (ni)i≥1 the increasing sequence (assumed to be infinite) of all lengths of palindromic prefixes of w. In this text, we give an explicit construction of all words w such that ni+1 ≤ 2ni + 1 for all i, and study these words. Special examples include characteristic Sturmian words, and more generally standard episturmian words. As an applicat...
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ژورنال
عنوان ژورنال: Theoretical Computer Science
سال: 2003
ISSN: 0304-3975
DOI: 10.1016/s0304-3975(02)00726-0