Ultimately Constant Abelian Complexity of Infinite Words
نویسنده
چکیده
It is known that there are recurrent words with constant abelian complexity three, but not with constant complexity four. We prove that there are recurrent words with ultimately constant complexity c for every c.
منابع مشابه
On a generalization of Abelian equivalence and complexity of infinite words
In this paper we introduce and study a family of complexity functions of infinite words indexed by k ∈ Z+ ∪ {+∞}. Let k ∈ Z+ ∪ {+∞} and A be a finite non-empty set. Two finite words u and v in A are said to be k-Abelian equivalent if for all x ∈ A of length less than or equal to k, the number of occurrences of x in u is equal to the number of occurrences of x in v. This defines a family of equi...
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عنوان ژورنال:
- Journal of Automata, Languages and Combinatorics
دوره 14 شماره
صفحات -
تاریخ انتشار 2009